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Eindhoven University of Technology
MASTER
Improving the admission and capacity planning in a dermatology oncology outpatient clinic
Romero, H.L.
Award date:2010
Link to publication
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Eindhoven, december 2009
Student identity number 0641533
in partial fulfillment of the requirements for the degree of
Master of Science
in Operations Management and Logistics
Supervisors:
Dr.ir. N.P. Dellaert, TU/e, OPAC
Dr.ir. M. Jansen-Vullers, TU/e, IS
Improving the admission and
capacity planning in a dermatology
oncology outpatient clinic
by
Heidi L. Romero
ii
TUE. Department Industrial Engineering & Innovation Sciences
Series Master Theses Operations Management and Logistics
Subject headings: healthcare, admission planning, resources allocation, simulation
iii
Management Summary
Introduction
This study was conducted in the dermatology oncology outpatient clinic at the Catharina
hospital. The arrival rate of patients diagnosed with basal cell carcinoma has been constantly
increasing during the last years. Due to the increased demand of patients diagnosed with basal
cell carcinoma and the limited availability of resources for treatment, the average waiting time of
patients for treatment varies from 2 weeks until 3 months. The clinic administration has been
looking for alternatives to improve their services, i.e. reducing the time that patients spend after
they are diagnosed with skin cancer until they receive their treatment.
A previous study presented by a colleague student proposed a redesigned one-day-
treatment (ODT) process in which patients have their consult meeting, diagnosis and treatment
all during one day. A qualitative evaluation of this redesign was shown using the devil’s
quadrangle (Reijers and Mansar, 2005). This proposal was considered as very attractive to the
clinic, considering that it is aligned with their vision. However, the clinic is interested in a
quantitative evaluation of this redesign and the advantages for patients. This leads to the
following goal for this project:
Methodology
The methodology followed to answer the research questions stated in this study included the
following:
1. To conduct a literature review identifying the potential factors that could influence the
implementation of a process redesign, from a logistic perspective. The factors identified
were the admission and capacity planning.
2. To make an analysis of the capacity using the demand-supply model for the analysis of
hospital processes described in Vissers and Beech (2005). This approach facilitates the
identification of the level of mismatch between demand and supply, providing some
insights into areas of improvement. One conclusion is that it is feasible to implement the
redesigned ODT process in the clinic for patients referred for Photodynamic therapy
(PDT) and Excision, considering that the current capacity level is sufficient to fulfill the
current demand. Also, the significant factors for this implementation are: the admission
rule, the percentage of appointment slots held open for PDT - ODT patients, and the
allocation of capacity throughout the week for Excision-ODT patients. However, in this
analysis the inflow of patients and the time durations for each activity were assumed to
be deterministic, which does not correspond to the real situation in the clinic.
The aim of this study is twofold, both qualitative and quantitative:
(1) Qualitative: to identify the factors hindering the possibility to implement the redesigned,
one-day treatment (ODT) process
(2) Quantitative: to propose an alternative setting that supports the implementation of the
redesigned ODT process, and to measure the advantages of the new implementation in terms
of average throughput time
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3. Develop a simulation model to represent the actual process followed by patients at the
clinic and the proposed redesign. Simulation is one of the best alternatives when
comparing different scenarios by incorporating variability to the activities durations and
demand (Lee and Asllani, 2001).
4. Define scenarios to be evaluated, combining the different factors identified as significant
in the previous analysis of capacity conducted.
5. Analyze the results gathered from different alternative scenarios to conclude about the
feasibility of implementing the redesigned ODT process and the best setting from the
scenarios proposed.
Conclusions
Finally, this methodology conducted to answer the research questions stated in this project:
• Research question #1: What changes should be made in the dermatology oncology
outpatient clinic to treat the new patients diagnosed with BCC on the same day of the
diagnosis? What conditions should be fulfilled?
In order to implement the redesigned ODT process, the clinic should align their planning
for treatment with the admission of patients for consult meeting. This alignment is necessary,
considering that new patients who are arriving every day for consultation could decide whether
they receive their treatment on the same day of the diagnosis or not, and the clinic should have
the resources available to fulfill that demand.
Another condition that should be fulfilled is the availability of the results from the
pathology department within the same day to complete the process. This could be considered as
the most critical factor to implement the redesigned ODT process with the drawback that it is an
external resource and out of the scope of this study. This suggests the need to discuss the
redesign with the chief of this external party, stressing the advantages of this implementation for
the patients.
• Research question #2: How could the conditions required to implement the redesigned
ODT process be fulfilled?
To fulfill the condition of an alignment between the demand and supply, the results
showed that one significant factor is the percentage of open appointment slots held open to treat
ODT-patients. This percentage is estimated identifying the expected demand of services from
ODT-patients and the average percentage of slots held open for treatment, both for Excision and
PDT. This percentage changes with changes in the demand, considering that the resources
available remain the same. For the current demand, 27.5% of the slots should be held open,
which can be translated to 2 appointment slots for PDT and 3 for Excision every day.
To extend the option to choose for treatment on the same day of diagnosis, another factor
that should be considered is the admission rule. The current admission rule is that every doctor
receives a maximum of five new patients for consultation during one block (half a day: morning
or afternoon). However, this rule only aims to balance the workload between doctors but is not
patient-centered. The proposed rule includes all the appointment slots for new patients during the
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morning. This aims to extend the option to choose the redesigned ODT process to all new
patients, under the actual assumption that the sample biopsy should be available before 11:30 for
the evaluation at the pathology department and further answer in less than two hours.
• Research question #3: What are the quantitative advantages or disadvantages gained
from the implementation of the redesigned ODT process?
The advantages of implementing the redesigned ODT process can be measured in terms
of the time performance. The average throughput time for new patients could be reduced to 90%
for Excision and 95% for PDT, compared to the current situation. This redesign also adds
flexibility to the process, which allows patients to decide whether they want to be treated on the
same day or follow the regular process. To implement the redesigned ODT process is mandatory
to receive the results from pathology in less than two hours, which nowadays takes
approximately two weeks. This improvement could increase the cost of this service for the clinic.
• Research question #4: What is the effect of the implementation of the redesigned ODT
process on the throughput time for other patient groups (SCC, melanoma, others),
considering that the doctor, nurses and operating rooms are shared by all BCC-patients?
The effect of implementing the redesigned ODT process for new patients also reduces the
average throughput time for control patients treated with Excision with approximately two
weeks. The effect for control patients treated with PDT is not affected by the actual admission
rule in which only 27.5 % of the appointment slots are held open for ODT-patients, but it is
significantly affected when this percentage is increased to 50%. The analysis is performed
independently for patients treated by Excision and PDT because their resources are independent.
The only resources shared are those between Excision and MOHs. The average throughput time
for patients treated with MOHs does not show a significant difference between the current
situation and the proposed scenario, measured in approximately 1.5 days. This difference is not
significant considering that the current throughput time is greater than two months.
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Preface
This report is a master thesis for the study of Operation Management and Logistics in the Faculty
of Industrial Engineering & Innovation Sciences at the Eindhoven University of Technology.
This master thesis has been conducted in the Dermatology oncology outpatient clinic of the
Catharina Hospital in Eindhoven. I would like to thank several people who have aided
significantly in making this master thesis possible.
I would like to thank Dr. Gertruud Krekels at the dermatology oncology outpatient clinic for her
support throughout the project. I would like to thank specialists, doctors, nurses and assistants
that helped me to get to know the process, for their openness and willingness to provide the
information.
Also, I am greatly indebted to my supervisors, Dr. Nico Dellaert and Dr. Monique Jansen-
Vullers, for their useful criticism and guidance throughout this project. Next, I would like to
thank Dr. Hajo Reijers for his noble contribution to improve this report.
Finally, I would like to thank God for all the blessings received through my family and friends. I
am thankful for the opportunity to share this journey with all of you. Finally, I would like to
dedicate this thesis to my dearly loved husband, Anthony, who has always supported my dreams.
Heidi Romero
December, 2009
vii
Table of Contents
1 INTRODUCTION ......................................................................................................................................... 1
1.1 Research Environment.......................................................................................................... 1
1.2 Problem Statement ............................................................................................................... 2
1.2.1 Current situation .................................................................................................................. 2
1.2.2 Redesigned One-day-treatment (ODT) process ..................................................................... 2
1.3 Research questions and project goals .................................................................................... 3
1.4 Report Outline ...................................................................................................................... 4
2 LITERATURE REVIEW .............................................................................................................................. 5
2.1 Introduction .......................................................................................................................... 5
2.2 Study Synthesis .................................................................................................................... 6
2.2.1 Admission Planning .............................................................................................................. 6
2.2.2 Capacity Planning ................................................................................................................ 8
2.2.3 Integrated Approach........................................................................................................... 12
2.3 Concluding from the literature review................................................................................. 14
3 CAPACITY ANALYSIS ............................................................................................................................ 16
3.1 Introduction ........................................................................................................................ 16
3.2 Demand-supply model for clinical processes ...................................................................... 16
3.2.1 Inflow of patients ................................................................................................................ 16
3.2.2 Treatment Profiles .............................................................................................................. 17
3.2.3 Process description and resources requirement per patient group ...................................... 17
3.2.4 Performance estimation for actual process ......................................................................... 20
3.3 Admission and capacity planning ....................................................................................... 23
3.3.1 Planning for PDT ............................................................................................................... 23
3.3.2 Planning for Excision ......................................................................................................... 25
3.4 Concluding from the process analysis ................................................................................. 27
4 MODEL DEVELOPMENT ........................................................................................................................ 29
4.1 Simulation model description ............................................................................................. 29
4.1.1 Input Data .......................................................................................................................... 29
4.1.2 Model flow logic ................................................................................................................. 32
4.1.3 Performance measures ....................................................................................................... 32
4.1.4 Verification and Validation ................................................................................................ 32
4.2 Modeling the redesigned one-day treatment (ODT) process ................................................ 33
4.2.1 Model flow logic ................................................................................................................. 33
4.2.2 Verification and Validation ................................................................................................ 33
4.3 Concluding from the modeling ........................................................................................... 34
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5 SCENARIOS ............................................................................................................................................... 35
5.1 Introduction ........................................................................................................................ 35
5.2 Selection of factors ............................................................................................................. 35
5.2.1 Admission rule ................................................................................................................... 35
5.2.2 Percentage of open slots available for PDT and Excision ................................................... 36
5.2.3 Resources allocation for Excision ....................................................................................... 36
5.3 Definition of scenarios ....................................................................................................... 37
5.3.1 Scenario # 1 ....................................................................................................................... 38
5.3.2 Scenario #2 ........................................................................................................................ 38
5.3.3 Scenario #3 ........................................................................................................................ 38
5.3.4 Scenario #4 ........................................................................................................................ 39
5.3.5 Scenario #5: ....................................................................................................................... 39
5.3.6 Scenario #6: ....................................................................................................................... 39
5.3.7 Scenario #7: ....................................................................................................................... 39
5.3.8 Scenario #8: ....................................................................................................................... 39
5.4 Concluding from scenarios ................................................................................................. 39
6 EXPERIMENTAL RESULTS .................................................................................................................... 41
6.1 Introduction ........................................................................................................................ 41
6.2 Results ............................................................................................................................... 41
6.2.1 Throughput time for patients treated by Excision ................................................................ 41
6.2.2 Throughput time for patients treated by PDT ...................................................................... 43
6.3 Analysis ............................................................................................................................. 44
6.3.1 Comparative analysis of scenarios for Excision .................................................................. 45
6.3.2 Comparative analysis of scenarios for PDT ........................................................................ 46
6.3.3 Sensitivity analysis ............................................................................................................. 46
6.4 Concluding from experiments ............................................................................................. 47
7 CONCLUSIONS AND RECOMMENDATIONS ..................................................................................... 47
7.1 Conclusions ........................................................................................................................ 48
7.2 Limitations and further research ......................................................................................... 49
REFERENCES ................................................................................................................................................... 51
LIST OF ABBREVIATIONS ............................................................................................................................ 53
APPENDICES .................................................................................................................................................... 54
Appendix A - Organizational Chart of Catharina Hospital.................................................................................. 54
Appendix B- Master Scheduling for doctors and Specialists ................................................................................ 55
Appendix C- Elaboration of the simulation model in Arena ................................................................................. 58
Appendix E- Modeling the redesigned ODT process ............................................................................................ 78
Appendix G- Defining the warm-up period .......................................................................................................... 80
Appendix H - Admission rule for actual and proposed ........................................................................................ 81
Appendix I – Resources allocation proposed by OpQuest for scenarios 2, 4, 6 and 8 ......................................... 83
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Table of Figures
Figure 1-Devil’s quadrangle for the redesigned ODT process ................................................................. 3
Figure 2-Overview of literature search and selection ............................................................................... 6
Figure 3-A three-phase hierarchical approach for operating theater schedules (Testi et al., 2007) ........ 12
Figure 4-A scheduling problem for the regional health center (Lee and Asllani, 2001) .......................... 13
Figure 5- Flow chart of activities followed by new patients diagnosed with BCC in the dermatology
oncology outpatient treatment ......................................................................................................... 17
Figure 6- Scenarios scheme, derived from the combination of three factors ........................................... 38
Figure 7- Confidence interval for the throughput time for new patients treated with Excision ................ 41
Figure 8- Throughput time for new and control patients treated with Excision ....................................... 42
Figure 9- Confidence interval for the throughput time for new patients treated with PDT ...................... 43
Figure 10- Throughput time for new and control patients treated with PDT ........................................... 44
Figure 11-Arena flow chart for patients diagnosed with BCC at the oncology clinic .............................. 59
Figure 12-Submodel for making an appointment for BCC patient’s treatment ........................................ 61
Figure 13-Submodel for the Photo Dynamic Therapy (PDT) .................................................................. 62
Figure 14-Submodel for the MOHs Procedure ....................................................................................... 63
Figure 15-Submodel for the Excision ..................................................................................................... 63
Figure 16- Process to make an appointment for the consultation of a new patient part 1 ........................ 69
Figure 17- Process to make an appointment for the consultation of a new patient part 2 ........................ 70
Figure 18- Process to make an appointment for the consultation of patients- part 3 ............................... 71
Figure 19- Process to make an appointment for the consultation of a control patient part 1 ................... 72
Figure 20- Process to make an appointment for the consultation of a control patient part 2 ................... 73
Figure 21- Process to make an appointment for the Photo Dynamic Therapy treatment part 1 ............... 74
Figure 22- Process to make an appointment for the Photo Dynamic Therapy treatment part 2 ............... 75
Figure 23-Changes in pathological test for the redesigned ODT process ............................................... 78
Figure 24- Changes in submodel for making an appointment for BCC patient’s treatment for the
redesigned ODT process ................................................................................................................. 78
Figure 25- Sensitivity analysis of the probability distribution for the arrival pattern .............................. 79
Figure 26- Average throughput time for BCC patients treated with Excision and PDT ........................... 80
x
Table of Tables
Table 1-Overview of the resources available at the clinic ....................................................................... 18
Table 2-Resource use per activity .......................................................................................................... 19
Table 3-Resource use per patient group in the actual process ................................................................ 20
Table 4-Match between weekly demand and supply per resource type in the clinic ................................. 20
Table 5- Daily resource use per patient group with the redesigned ODT process ................................... 22
Table 6- Expected daily demand of resources PDT-patients by the redesigned ODT process .................. 24
Table 7- Estimated percentage of appointment slots open for PDT-patients by the redesigned ODT
process ............................................................................................................................................ 24
Table 8- Estimated resources use by patients treated with MOHs and Excision ...................................... 26
Table 9-Match between daily demand and supply per resource type for MOHs and Excision ................. 27
Table 10-Parameter for the Poisson distribution .................................................................................... 30
Table 11 – Output generated in Excel for the model verification ............................................................ 33
Table 12 – Current allocation of resources for MOHs and Excision ....................................................... 36
Table 13- Weekly schedule of doctors for consultation ........................................................................... 55
Table 14- Weekly schedule of specialists for consultation ...................................................................... 55
Table 15 - Weekly schedule for MOHs and Excision .............................................................................. 56
Table 16- Weekly schedule of doctors for treatment ............................................................................... 56
Table 17- Weekly schedule of specialists for treatment ........................................................................... 57
Table 18-Description of variables .......................................................................................................... 64
Table 19-Description of Attributes ......................................................................................................... 65
Table 20 – Current allocation of appointment slots for consult meetings during the morning ................. 81
Table 21- Current allocation of appointment slots for consult meetings during the afternoon ................. 81
Table 22 – Proposed allocation of appointment slots for consult meetings during the morning ............... 82
Table 23 – Proposed allocation of appointment slots for consult meeting during the afternoon .............. 82
Table 24 – Optimal allocation of resources for MOHs and Excision for scenario 2 ................................ 83
Table 25 – Optimal allocation of resources for MOHs and Excision for scenario 4 ................................ 83
Table 26 – Optimal allocation of resources for MOHs and Excision for scenario 6 ................................ 83
Table 27 – Optimal allocation of resources for MOHs and Excision for scenario 8 ................................ 83
1
1 INTRODUCTION Hospitals and other health care institutions provide human and capital resources to
maintain and improve their patients’ life. However, there is a trade-off between the involved
service level and costs, which has motivated health care institutions to find creative ways to
reduce costs with a limited impact on their service level. Although hospitals are a special type of
service organization, they can borrow some managerial practices from other industries more
operationally effective with similar challenges.
This research will present the application of operations management practices in a
dermatology oncology outpatient clinic at the Catharina Hospital, which is a specialized center
for the treatment for skin cancer, located in Eindhoven. The operations management functions in
health organizations include the planning, coordination and control of their resources in order to
improve quality and reduce costs (Langabeer, 2008). This study will focus on the planning
function, specifically analyzing the admission and capacity planning. The admission planning
includes balancing the workload of admissions considering the resource requirements for
different patient categories. While the capacity planning, includes several decisions including
optimizing the utilization of a critical resource, balancing the capacities of different resources
required simultaneously and the allocation of shared resources.
1.1 Research Environment
This research is conducted in the dermatology oncology outpatient clinic at the Catharina
hospital, located in Eindhoven. This is one of the top specialized centers in the Netherlands for
skin cancer treatment. They receive patients with different types of skin cancer: malignant
melanoma, squamous cell carcinoma (SCC) and basal cell carcinoma (BCC). The basal cell
carcinoma is considered the most common form of non melanoma skin cancer around the world
and the most reported malignancies in Caucasian populations, with an incidence of
approximately 30,000 cases diagnosed per year in the Netherlands (Essers et al. 2006). These
tumors destroy the tissue extensively and account for a considerable healthcare expenditures
worldwide (Thissen et al. 1998).
There are four different treatment interventions for patients diagnosed with basal cell
carcinoma (BCC) offered in the dermatology oncology outpatient clinic in study, depending on
the type of cancer and location. The treatments offered are described as follows:
1) Self-treatment: for superficial basal cell carcinoma. Patients receive the instructions for
the application of a special cream at home.
2) Photodynamic therapy (PDT): is another option for the treatment of superficial basal
cell carcinoma. For this treatment is necessary to apply a special cream on the affected
area for a further exposure to infrared light to reduce the cancer spot.
3) Excision: used to remove solid spots at different locations other than the face. It is even
possible to perform excisions in the face only if the cancer spot is small or does not have
a significantly negative effect in the esthetic.
4) MOHs: is a revolutionary procedure used to excise cancer spots with minimum skin
damage and with the highest guarantee (almost 99%) at the end of the procedure that the
excise spot is cancer-free. It is recommended for spots located in the face or for larger
cancer areas with anesthesia (Mikhail, 1991).
2
1.2 Problem Statement
1.2.1 Current situation
During the last years, the arrival of patients diagnosed with basal cell carcinoma to the
dermatology oncology outpatient clinic has been growing in approximately 5% per year. This
situation supports worldwide statistics presented by Essers et al. (2006), indicating a growth in
the occurrence of this specific type of skin cancer.
However, the resources available at the clinic to provide the treatment have not increased
in the same proportion. Some critical resources, such as the specialists, doctors and nurses, are
shared by all the patients following different care paths inside the clinic. For instance, the doctors
and the specialists are scheduled to perform different activities during the week, including
consultation time or supervision in case of the specialists, time for excisions, for MOHs and even
some hours for research.
The clinic has an agreement with the hospital to receive a minimum amount of new
patients per year. This amount started with 6,500 new patients in 2005, and has increased by
1,000 new patients every year. The planner used this amounts to allocate the capacity required
every year to receive those new patients and continue treating the control ones. A “control
patient” as called during this report, is a patient who was diagnosed and treated for skin cancer
and requires further consultations in the clinic to evaluate the condition of the cancer. Basically
the doctors need to check the condition of the cancer. Those checks are performed approximately
every six months during the first two years after the treatment. If the patient is recurrent and
requires another treatment this cycle starts all over again.
Considering the current situation, with a growing demand, fixed capacity level and shared
resources, less capacity is available every year for patient’s treatment. This situation has affected
the waiting time required for a new patient to start the treatment after the diagnosis. Nowadays,
this time varies significantly among the different types of treatments. It is approximately two
weeks for the excision and the PDT, but up to three months for the MOHs procedure. The
administration of the clinic has the vision of offering the option to BCC-patients to have their
consultation and treatment during the same day. It suggests an improvement in the service level
from the patient perspective with a significant reduction on their average throughput time. This
situation encouraged the clinic to look for some alternative options to optimize their operations
in order to improve their service, reducing patient’s waiting time.
1.2.2 Redesigned One-day-treatment (ODT) process
A colleague student from the Information System Group at the Faculty of Industrial
Engineering & Innovation Sciences analyzed their treatment processes and developed some
redesign scenarios, one of them suggesting that the consult meeting, diagnosis and treatment
could all be performed in one day (Groot, 2009), named in this report as the redesigned one-day-
treatment (ODT) process. This redesign was considered very promising for the clinic because it
is aligned with their future vision of the clinic.
A qualitative evaluation of this redesign was performed using the devil’s quadrangle
(Reijers and Mansar, 2005). The devil’s quadrangle is used as a framework in which the effect of
redesigns is evaluated using four different dimensions: quality, time, cost and flexibility. The
idea is to describe the trade-off underlying every redesign measure, and to identify how each
3
criterion from the devil’s quadrangle can be made operational. It was considered that the quality,
flexibility and time performance dimensions are enhanced with the redesigned ODT process (See
Figure 1). Groot (2009) used a framework proposed by the Dutch Council of Public Health
(NRV,1990) to identify the quality aspects that could be improved in healthcare organizations
and a model developed by Asselman (2008) for the cost aspects. Using those frameworks, it is
possible to clearly define which aspects of each dimension could be enhanced by the
implementation of the redesigned ODT process.
Figure 1-Devil’s quadrangle for the redesigned ODT process
The quality of care is improved by offering a
process which is more patient-centered. With the
redesigned ODT process, patients do not need to wait
for weeks before been informed about their condition
and further treatment. The most obvious advantage of
this redesign is the improvement in the time
dimension. By definition, it implies that the actual
throughput time for patients is one day. The
throughput time is defined as the time between
patients’ arrival at the clinic for their consult meeting
until finish their treatment. In this definition is not
considered the time that patients need to wait
between their call for an appointment until their
consultation meeting.
The cost dimension could be negatively affected if the implementation of this redesign
requires extra capacity available for the treatment. However, to implement this redesign is
required to have the results from pathology on the same day, which could increase the provision
of this service. Finally, the redesigned ODT process provides a type of flexibility, called by
Schonenber et al. (2007) as flexibility by design. This type of flexibility is made operational in
this case offering to patients the option to decide if they want to be treated during the same day
or make an appointment in the further weeks. In the actual process, patients do not have the
option to choose.
1.3 Research questions and project goals
Besides the qualitative evaluation, the chief of the clinic is interested in evaluating the
feasibility and quantitative effect of the implementation of the proposed redesign. This situation
raised some interesting research questions:
• Research question #1: What changes should be made in the dermatology oncology
outpatient clinic to treat the new patients diagnosed with BCC on the same day of the
diagnosis? What conditions should be fulfilled?
• Research question #2: How could the conditions required to implement the redesigned
ODT process be fulfilled?
• Research question #3: What are the quantitative advantages or disadvantages gained
from the implementation of the redesigned ODT process?
Quality
Time
Flexibility
Cost
4
• Research question #4: What is the effect of the implementation of the redesigned ODT
process on the throughput time for other patient groups (SCC, melanoma, others),
considering that the doctor, nurses and operating rooms are shared by all BCC-patients?
The aim of this study is twofold, both qualitative and quantitative. The qualitative part
intends to answer the first research question that requests the identification of the factors
hindering the possibility to implement the new process. While the second until fourth research
questions have a quantitative nature. They are directed to propose an alternative setting that
supports the implementation of the redesigned one-day treatment (ODT) process, and to measure
the advantages of the new implementation in terms of resources utilization and costs. The mixed
nature of this project suggests the following goals:
1. Analyze the actual process from a logistic perspective and identify the factors that hinder
the possibilities of treatment on the same day of the diagnosis.
2. Propose alternative designs that allow the implementation of the new process.
3. Compare the performance of the actual process to the new alternatives in terms of the
resource utilization and total costs.
4. Identify how the implementation of the new alternatives affects the average waiting time
of non new BCC patients receiving services at the clinic.
The scope of this study is limited to the dermatology oncology outpatient clinic at the
Catharina Hospital. The conclusions will be specific to the hospital in study, with the possibility
to be extended to another outpatient clinic with similar characteristics. The analysis includes the
process followed by new patients arriving at the clinic for consultation and diagnosed and treated
with basal cell carcinoma. The effect of the implementation of one-day treatment approach will
include new and control patients. Therefore, the effect in the waiting time for control patients
will be analyzed as a side effect of our proposal, as indicated in the last goal stated.
1.4 Report Outline
The remainder of this report is organized as follows. Chapter 1 describes the organizational
context in which this research is developed and the problem statement, emphasizing the gaps that
can be closed by the current research and the specific project goals and scope. A literature review
is presented in chapter 2 to get some insights into the approaches commonly used by authors to
evaluate a process redesign and factors that must be consider for a successful implementation. A
performance analysis of the actual process is developed in Chapter 3, to discover the factors that
influence the implementation of the redesigned ODT process. An elaboration of the model
developed to represent the actual system and the redesigned ODT process is presented in Chapter
4. Moreover, Chapter 5 presents different alternative scenarios that could increase its successful
implementation. Those scenarios require to be evaluated to quantify the impact of their changes.
Chapter 6 shows the results gathered from implementing the changes from the scenarios
proposed and an analysis of these results. Finally, Chapter 7 presents the conclusions and
recommendations for future research.
2 LITERATURE REVIEW The aim of this literature review is twofold: First, to identify the different factors that needed
to be addressed to implement the redesigned ODT process; and secondly, to get insights into the
different approaches available to answer the research questions defined in the current study.
2.1 Introduction The logistic perspective for production management of processes in a healthcare
organization has to be based on the understanding of the characteristics of hospital care processes
and their interaction with resources (Vries et al., 1999). Nowadays some of the critical resources
are scarce, making their allocation to the different processes an important aspect of health care.
However, the allocation of the different resources is not a simple task because it should consider
the interaction between the different departments in the hospital, shared and critical resources. It
also requires a definition of priorities between the different tasks performed by them.
It is suggested that the same analysis needs to be followed before implementing any
process redesign. Villa et al. (2009) analyzed how the success of processes redesign to improve
the patients flow heavily depends on the presence of a well-designed capacity planning system.
Some important aspects considered in their study for the capacity planning are: (1) the
synchronization of the operating rooms scheduling with the other services; (2) centralization of
the scheduling process for shared resources; and (3) enhancement of the coordination between
different hospital settings, allowing a local and system-wide optimization.
Furthermore, the same problem has been approached by different researchers considering
the waiting lists instead of waiting time. For instance, Vissers et al. (2001) analyzed how waiting
lists cannot be simply approached as an efficiency problem and stated that “the waiting list is a
result of four mechanisms, i.e. need assessment, demand management, resources allocation and
production management”. The waiting lists should be approached as an effect of the mismatch
between demand and supply of care. At the hospital level, the development of waiting lists is
caused by an insufficient allocation of resources to match the flow of patients per specialty.
Those results emphasize that the capacity planning is an important factor to be analyzed for the
implementation of a process redesign.
With this information at hand, a literature review was conducted to investigate the decision
areas related to the admission and capacity planning that should be addressed if a reduction of
waiting time is to be achieved. The results are shown in Figure 2, including a total of 97 articles
fulfilling the relevance criterion from which only 44 approved the quality criterion. Finally, the
articles collected from the different search engines were placed together and after eliminating the
duplicates, 21 articles were selected to develop the literature review and synthesis. The selecting
procedure is summarized in Figure 2.
6
Figure 2-Overview of literature search and selection
2.2 Study Synthesis A critical review of the literature selected in the previous sub-section will help to develop a
thorough understanding of the different approaches presented to solve problems related to
admission and capacity planning in healthcare organizations. The total body of literature has
been organized in three different groups: capacity planning, admission planning and integrated
approaches. This section intends to highlight the different aspects considered in the literature
related to the topic at hand, and to provide fresh insights in the best approaches to solve them.
2.2.1 Admission Planning The admission planning consists in scheduling the admission of patients according to
medical priorities and their resources requirements. It mainly focused in a reduction of the
patients’ waiting time and resources overtime and idle time. However, the decisions in the
admission planning can impact different aspects of the patient waiting time. Basically, the total
patient waiting time can be decomposed in different parts: (1) the time between the patient call
and the scheduled date of the appointment; and (2) during the appointment date, there is a
difference between the scheduled moment of the appointment and the real moment that the
appointment starts. It is necessary to clearly distinguish between those types of waiting time
because they are approached differently depending on the type of admission system under study.
For instance, a scheduled admission system is more focused on reducing the time between the
moment of the appointment and the real time of the appointment, increasing the resources
utilization, but increasing the time that the patient needs to wait for the appointment. In
healthcare, this is a very common approach due to the scarcity of resources and the willingness
of patients to wait for the service. Nevertheless, this situation has been changing suggesting more
improvements in the area.
7
The admission planning also involves some important decisions like the number of
patients admitted for a specialty each day and the patient mix. Vissers and Beech (2005)
distinguished three different types of admissions: as an outpatient referred by the family doctor;
emergency patient, requiring immediate assistant by a specialist; and finally, as an inpatient,
which is subsequently subdivided in scheduled and unscheduled. A scheduled inpatient
admission includes an assignment of an appointment date for the procedure, while unscheduled
admissions correspond to emergency admission of patients after a medical decision by a
specialist at the outpatient department. For this study, the main interest is to focus on the
outpatient admissions, considering the characteristics of the clinic under study. It is important to
make that distinction because nowadays those patients are demanding shorter waiting times, the
competition is escalating between providers and it becomes a challenge especially for outpatient
service providers.
Other aspects of the admission planning have been previously analyzed in the literature in
order to identify their impact on the patients’ average waiting time. For instance, Conforti et al.
(2009) evaluate the impact of a non-block scheduling strategy for radiotherapy treatments. With
a block strategy, the workday is divided in a fixed number of slots with the same time duration,
while the non-block strategy assigned a different treatment time for each patient. The authors
confirmed in an experimental setting with six different scenarios that the implementation of a
non-block scheduling strategy provides a reduction in the average waiting time for patients and
increase the number of new patients scheduled.
The scheduling rule and placement of open or urgent appointment slots in a multi-period
environment were investigated by Klassen and Rohleder (2004). First, they analyzed four
different scheduling rules: (1) FCFA, First-call first-appointment used as the base case;
(2) LVBEG, low variance patient at the beginning of the session and high variance at the end;
(3) B2, place two patients in the first appointment slot and spread the rest evenly over the period;
and (4) B2LVBEG, which is a combination of the last two appointment rules. The LVBEG was
found as the best appointment rule in a multi-period environment and in a single period, in terms
of a reduction in the average patient waiting time. A patient is considered as “low variance”
when the expected time that they are likely to take is well known, compared to the “high
variance” with a quite unsure duration time. The authors assigned the first half of appointment
slots in any period (morning or afternoon) for low variance patients for the experiment. Optimal
outpatient schedules were developed by Kaandorp and Koole (2007) for a finite number of
possible arrival epochs. They demonstrate that the Bailey-Welch rule (same concept as B2 rule)
provides results near optimal.
The effect in patients’ waiting time due to the placement of open appointment slots for
emergencies is another decision explored by Klassen and Rohleder (2004). They found that
spreading the urgent slots during the day or at least during the afternoon provide better results,
even though it was found that this placement did not influence significantly the average waiting
time. This suggests that open appointment slots can be placed based on each provider’s
preference. However, not only the placement but also the percentage of open slots has been
evaluated by the researchers. Qu et al. (2007) developed a quantitative approach to define the
optimal percentage of open appointments available each day to match the demand with the
capacity. They analyzed how the open access scheduling or same-day scheduling significantly
8
improve the performance of outpatient clinics. In this schedule some appointments are
prescheduled and others are held open to be filled from 12 until 72 hours before. The results
illustrated that when the demand is much higher than the installed capacity, all appointments
should be held open if there is no medical need for pre-scheduling. This will improve the
resources utilization and patients’ satisfaction, reducing costs. Su and Shih (2003) explored
different registration strategies for the allocation of walk-in and scheduled patients in outpatient
clinics. They found that scheduling the appointments with flexible time interval provides the
least throughput time for scheduled patients, while the alternative sequence (odd numbers for
walk-in patients and even numbers for scheduled patients) provide the least throughput time for
walk-in patients.
The approaches identified in the literature for the problems in admission planning can be
divided in two groups: studies focus on the evaluation of schedules (Klassen and Rohleder,
2004) and others that develop algorithms to find good schedules (Kaandorp and Koole, 2007;
Conforti et al., 2009). Operations research methods, such as queuing theory, stochastic
optimization and simulation, are applied to the analysis and optimization of the appointment
scheduling systems. Vissers and Beech (2005) summarized the variety of approaches that have
been used to investigate the scheduling of appointments in outpatient clinics in four groups:
(1) bottleneck analysis, comparing service capacity and demand at the bottleneck; (2) steady-
state queuing models, to evaluate the effect of changes in the appointment; (3) time dependent
queuing models for simple systems; and finally (4) simulation models, to improve the
understanding of the impact of some changes in more complex systems.
To conclude, the literature presents a collection of studies in admission planning for
patients in healthcare organizations to reduce the patients’ average waiting time while
maintaining appropriate levels of resource utilization and costs. The admission planning involves
several decisions as shown in this section, including the selection of a scheduling strategy, the
appointment rule, the percentage of appointment slots held open, and their allocation. The next
section will summarize the main findings in the literature related to capacity planning in
healthcare organizations.
2.2.2 Capacity Planning
A large amount of work has already been done in this research area. The capacity
planning involves several decisions including optimizing the utilization of a critical resource,
balancing the capacities of different resources required simultaneously and the allocation of
shared resources. The type of decisions can vary from the assignment of a date for a specific
treatment, the time, the operating room were the procedure will be performed or simply the
allocation of capacity.
A literature review in operating room planning and scheduling was presented by Cardoen
et al. (2009). They evaluated 247 manuscripts including articles published in scientific journals,
proceedings and Ph.D. dissertations. They proposed a structured way to review the literature
selected using descriptive fields to facilitate the comparison in multiple facets between studies
and the link between research contributions. Therefore, this section will use this taxonomy to
identify the research contributions in capacity planning in healthcare organizations. The
9
descriptive fields included are: patient characteristics, performance measures, decision
delineation, research methodology, uncertainty and applicability of research.
- Patient characteristics: Patients are mostly classified in the literature related to capacity
planning in two major groups: elective and non-elective patients. Another way to refer to non-
elective patients is emergency patients. The emergency patients must be served immediately
while elective patients can be planned for future dates (Lamiri et al., 2006). This classification
helps in the prioritization between patients, considering their medical condition. Most of the
studies reviewed only consider the elective or planned patients and manage the non-elective
patients letting some open slots only available for emergencies. The definition of the amount of
slots open for emergencies was discussed previously in the admission planning section.
Another patient’s classification that can be distinguished in the studies is in inpatient and
outpatient. An inpatient is referred to a hospitalized patient that needs to stay overnight in the
hospital, while outpatients enter and leave the hospital on the same day. In some cases both
patient types: inpatient and outpatient are explicitly considered in their analysis, like in Pham and
Klinkert (2008). It is very important to define the types of patients for which the scheduling
procedure is developed because it provides some information on the uncertainty involved in the
arrival and duration of patients, and their further demand of resources (Cardoen et al., 2009).
- Performance measures: Some of the most important performance measures used in the
literature to define the objective function are the waiting time, throughput, resource utilization
and financial measures. Their selection describes the perspective used to treat the problem
approached. For instance, the average waiting time for a patient represents one of the most
commonly used performance measures identified by Cardoen et al. (2009) within the 247
manuscripts reviewed in their study. Nevertheless, when the resources involved in the decision
are very expensive or scarce, like the time of a specialist or operating room, the researches intend
to balance the decisions minimizing the waiting time for patients together with the waiting time
for these resources (Chern et al., 2008). Directly related to the waiting time reduction is the
throughput. The throughput indicates the number of patients treated. When the amount of
patients treated increases, it triggers a decrease in waiting time assuming that the amount of
resources available and the demand remain the same.
Another widely used performance measure is the resource utilization. The resources
utilization is focused in the resources workload. The maximization of the resource utilization
should be selected when the coordination of several resources is required for the patient’s
treatment. This coordination could lead to the underutilization of some of those resources. In this
case the optimization should take place maximizing the utilization of the most critical resource in
the process, which is typically the operating room. One example of this application is presented
by Fei et al. (2009) who developed a mathematical model to maximize the utilization of the
operating rooms and to minimize overtime. It is important to emphasize that the maximization of
the resource utilization does not necessarily imply a reduction in overtime. Some studies assume
a utilization of 100% while others define target utilization, and intend to reduce the difference
between the utilization reached and this target.
The financial aspect is implicit in almost all the studies, but rarely discussed in practical
applications, considering the confidentiality of information related to costs for any organization.
The maximization of the resource utilization implies a cost reduction due to the fact that there are
10
some fixed costs involved in the process, while overutilization can lead to detrimental results in
terms of costs. Lamiri et al. (2008) developed a model for elective surgery planning in operating
rooms minimizing the costs related to the overutilization of operating rooms and the costs related
to perform the elective surgery.
- Decision delineation: A wide variety of decisions are involved in the capacity planning and
scheduling of resources, such as the assignment of a date, a room , a time or the allocation of
resources. Cardoen et al. (2009) categorized their studies based on three different decision levels
considering whether the decision applies to a medical discipline, a surgeon or a specific patient
type.
The discipline level considers decisions that are taken for a department or a specific
specialty, while at the surgeon level the decision should be focused on planning an agenda for
each surgeon indicating the date, room and time that the surgery or treatment in general have to
be performed. An example of the discipline level is the adaptive scheduling approach for
resources allocation for tomography scans at the radiology department, presented by Vermeulen
et al. (2009). In this case the decisions are made specifically for the resources at the radiology
department. Finally, at the patient level decisions are made for specific patients or patient types.
Most of the contributions in this research area apply to the patient level. The main reason is the
lack of flexibility from the specialists to accept changes in their rosters. It is expected an increase
in the contribution at the other levels in the near future due to the introduction of more operation
research scheduling techniques in healthcare organizations (Cardoen et al., 2009).
Moreover, a framework presented by Vissers and Beech (2005) presents five different
levels of planning, each one with a different decision focus. The strategic planning evaluates the
long-term resource requirements, level the annual patient’s volume and define a target service
and efficiency levels. The second level is the patient volume planning and control. In this level
the decisions are focused on the amount of resources available on the annual level to specialties
and patient groups. The “resource planning and control” is the third level, in which decisions
involved specialists’ time and detailed number of patients per period together with a time-phased
allocation of resources. The next level is the patient groups planning and control, which
considers the guidelines to plan patients based on patient’s group. And finally, the lowest level is
the patient planning and control, in which individual patients are assigned to resources on a daily
basis. This conceptual framework can be used to position contributions to different aspects of
capacity planning in healthcare organizations.
- Research methodology: Operational research and management techniques have been
applied to the capacity planning in healthcare organizations, combining each type of analysis
with the most appropriated evaluation technique. The most common types of analysis found in
the literature were the optimization and scenarios comparison. In mathematical programming
approaches, scheduling problems are formulated using linear programs, linear integer programs
or just general mathematical programs. An example of the optimization approach is presented by
Pham and Klinkert (2008). They developed a surgical case scheduling approach called multi-
mode blocking job shop (MMBJS) as an extension of the job shop scheduling problem, using a
mixed integer linear programming problem. The MMBJS allocates resources to each individual
case and define the time to perform the surgery. The optimal solution was pursued using a
practical-sized instance. Moreover, Vissers et al. (2005) optimized the scheduling of operating
rooms for cardiothoracic surgeries considering a patient mix. The problem was modeled using a
11
mixed integer linear programming and solved using the branch and bound algorithm. The
branch and bound method is the best known exact algorithm for linear integer programs, but
exploring all the trees can be very time consuming and heuristics can help to finish the search.
Nevertheless, when the number of variables and constraints increases it is more difficult
and sometimes impossible to find a feasible solution for mixed integer programming or binary
integer programming problems. Also, search algorithms become very inefficient requiring an
excessive computational time. Hence, heuristics are the method of choice to deal with complex
real world objectives and constraints that do not solve easily with a mathematical programming
formulation (Ernst et al., 2004). For instance, a heuristic algorithm HESA was designed to solve
the health examination scheduling problem effectively and efficiently. This problem was
formulated using a binary integer programming which is commonly used for those scheduling
problems, but with the disadvantage that become unsolvable for large problems. Another
heuristic for a scheduling problem was developed by Chien et al. (2008). They presented one
case in which a genetic algorithm was designed to solve the problem of scheduling therapies for
patient’s rehabilitation. The problem was structured as a mixed integer programming model
pursuing a reduction in the patients’ waiting time and maximization of resource utilization. Since
the problem is NP-hard, they proposed a heuristic method (genetic algorithm) which has
demonstrated to provide satisfactory results for hard combinatorial optimization problems.
Simulation approaches seem to be very suitable for applying a scenario analysis,
specifically when the problem involves a lot of stochastic variables and requires some modeling
flexibility to allow a sufficient degree of detail. Some approaches included a mix of heuristics
and simulation in an attempt to deal with complex problems. An example of this case was
presented by Oddoye et al. (2009). They combine goal programming and simulation to explore
different scenarios for an efficient planning of resources. Their approach offers the strengths of
simulation (flexibility in capturing and modeling the patients flow) and goal programming
(meeting several targets over a range of conflicting criteria) to facilitate the decision making to
the hospital management. Finally, this section described how the problems related to capacity
planning in healthcare organizations can be translated using mathematical programming or
simulation techniques based on the type of analysis required. The mathematical modeling has
demonstrated to be more suitable for optimization while simulation suits better for scenario
analysis.
- Uncertainty: This section analyzes what aspects of the uncertainty involved in the processes
are incorporated in the analysis and modeling of the problems related to capacity planning. Two
types of uncertainty are mainly addressed in the literature, one related to the arrival pattern and
another to the duration of the different activities. Lamiri et al. (2008) described a stochastic
model for operating room planning with elective and emergency demand for surgery. They
incorporated the uncertainty due to the emergency demand using a stochastic arrival of
emergency cases for surgery. However, several studies analyzed ignore the uncertainty in
activities duration and assume deterministic values (Vissers and Beech, 2005). The main reason
to ignore this variability is due to lack of information available, demanding a lot of time and
expertise for an appropriate data collection.
- Applicability of research: An important characteristic of the studies found in the literature is
to illustrate the applicability of their research. They could be tested using real data or generating
some data for experimental setting. Cardoen et al. (2009) emphasize how the lack of
12
implementation in healthcare seems to have improved considerably. But the implementation
process is hardly described in detail by the authors.
2.2.3 Integrated Approach
In the previous sections, research from several authors has been discussed and analyzed
indicating its main characteristics and contributions. Authors evaluate a problem and capture the
most significant aspects of it in order to define the best approach. In some cases they need to take
into account more than one decision level at a time to provide a solution that involves different
perspectives of the problem.
For instance, Testi et al., (2007) developed a three phase hierarchical approach for the
weekly scheduling of operating rooms presented in Figure 3. In the first phase, called the session
planning (SP) is determined the number of sessions to be scheduled weekly for each ward. Phase
two is the master surgical schedule (MSS). This phase defines the assignment between ward,
surgery room and day of the week, using the solution from the first phase as constraints in the
second model. The third phase used a discrete-event simulation model to assign patients into the
assigned operating room theaters. The first two phases were solved by integer programming and
are situated in the discipline level, while the third phase was formulated in terms of individual
patients. The aim of their study is to provide an integrated way of planning surgical activities to
improve the efficiency of the operating room and reduce the waiting list, while improving the
department organization.
Figure 3-A three-phase hierarchical approach for operating theater schedules (Testi et al., 2007)
Furthermore, another way used by authors to integrate different decisions is providing a
decision support tools for managers. Those tools allow them to evaluate the impact of their
decisions in terms of capacity planning. They provide the advantages of empowering decision
makers at the operational level and add flexibility to system designs and implementation. One
decision support tool was developed by Bowers et al. (2005). They provided a simulation model
for a diagnosis and treatment center to managers. This decision support tool allows managers to
appreciate the consequences of their proposals and the impact of their requirements in terms of
the demand of resources involved in the provision of service. This tool provides a significant
input for the capacity planning for a diagnosis and treatment center.
13
Lee and Asllani (2001) provided guidelines to design decision support systems. They
distinguished three different dimensions to analyze the scheduling problem: entity type
(outpatient, inpatient), business unit (department with or without appointment) and scheduling
environment (stochastic or deterministic). Their approach provides the necessary interface in a
dynamic environment and finds the best scheduling technique in a given point in time. The idea
is to reduce the problem’s complexity, structuring the problem in different layers or classes. The
first layer provides input to the next one and the later solves the problem in a static environment.
Different healthcare organizations may have different classes, but the first step is to
define them for the problem at hand and then find the most appropriate solution methodologies
to be applied. For instance, Figure 4 suggests scheduling system for the regional health care
center described in Lee and Asllani (2001). It shows that the set of scheduling problems can be
grouped in two main classes: stochastic and deterministic, leading for each one of them to
different methodologies to be followed. Basically, they provided a framework for the
development of decision support systems for the scheduling of resources in healthcare
organizations.
Figure 4-A scheduling problem for the regional health center (Lee and Asllani, 2001)
Another framework for modeling hospital resources was developed by Harper (2002).
Similar to the previously described by Lee and Asllani (2001), he proposed a simulation
technique for managing complex stochastic systems. The idea is that the common deterministic
approaches for planning and managing the system are expected to be inadequate in those cases.
One advantage of this framework is the inclusion of a patient classification to capture variability
within patients.
14
Finally, a better integration of different decision levels enhances the understanding of the
systems interactions and considers the complexity of the problems at hand. In this subsection
different types of approaches were included: (1) a hierarchical approach in which different
decision levels were consider integrating the decisions for the planning of the resources involved
in surgical activities, and (2) decision support tools, helping managers to evaluate the impact of
their decisions changing different factors. In some cases, the decision support tools were
described as general frameworks to provide guidelines for a flexible application to different
problem settings.
2.3 Concluding from the literature review
This literature review started analyzing from a logistic perspective, the factors that
influence the success of implementing a process redesign. The most significant factors that
needed to be addressed are the admission and capacity planning. Basically, to apply the
redesigned ODT process it is necessary to reduce the actual patient waiting time maintaining the
current capacity level. This redesigned process will be offered to a specific type of patients, but
the resources are shared by all the patients at the clinic. Therefore, it is necessary to analyze the
best allocation of capacity to the different patient types to be able to implement the redesigned
ODT process. With this information, a research synthesis was conducted classifying the literature
in three different areas: admission planning, capacity planning and integrated approaches.
The admission planning included several decisions considering the selection of a
scheduling strategy, the appointment rule, the percentage of appointment slots held open and
their allocation. This literature presents a collection of studies in admission planning for patients
in healthcare organizations to reduce the patients’ average waiting time while maintaining
appropriate levels of resource utilization and costs. Furthermore, the researches in capacity
planning were analyzed using the taxonomy proposed by Cardoen et al. (2009). They proposed a
structured way to review the literature selected using descriptive fields to facilitate the
comparison in multiple facets between studies and the link between research contributions. The
descriptive fields included are: patient characteristics, performance measures, decision
delineation, research methodology, uncertainty and applicability of research.
The integrated approaches included the following: (1) a hierarchical approach in which
different decision levels considering the decisions for the planning of the resources involved in
surgical activities, and (2) decision support tools, helping managers to evaluate the impact of
their decisions changing different factors. In some cases presented as general frameworks to
provide guidelines for a flexible application to different problem settings. It was analyzed how
those integrated approaches improves the understanding of the systems interactions and the
problem complexity.
The goal of the current research is to evaluate different scenarios to quantify the effect of
implementing the redesigned ODT process for new patients with basal cell carcinoma. The most
common approach to analyze different scenarios is simulation based on the literature, in order to
understand the impact of each decision in complex systems specially when managing stochastic
processing times and demand (Lee and Asllani, 2001). Simulation is a cost-effective way to
evaluate different scenarios without requiring any changes in the current system, which would
require a higher investment in time and money and even sometimes discomfort for the patients.
15
The complexity found in the actual process, such as a stochastic arrival pattern, different
patients routing and scheduling, makes simulation an attractive tool to be used (Vissers and
Beech, 2005). In this case it is very critical for the analysis to incorporate the variability in the
patients’ arrival to identify the impact in terms of resources utilization in case of implementing
the redesigned ODT process. Also the variability in the activities duration can influence our
conclusions related to the feasibility of this implementation.
To conclude, the literature review provides some insights into different factors considered
in the analysis of processes from a logistic perspective. Using this information, next chapter
analyzes the current situation using an approach proposed in the literature to identify the
feasibility of the implementation of the redesigned ODT process, and to evaluate the impact of
the factors suggested to build different scenarios.
16
3 CAPACITY ANALYSIS
3.1 Introduction
The literature review presented in the previous chapter contributed with the identification of
significant factors when performing an improvement or redesign in hospital processes. The
logistic approaches presented consider the different activities linked to the use of resources in the
process. This chapter implements the approach described by Vissers and Beech (2005) using the
demand-supply model for the analysis of hospital processes, to understand the process chain
followed by patients arriving at the dermatology oncology outpatient clinic and their interaction
with the critical resources.
This approach intends to identify the match between demand and supply in the clinic,
allowing the estimation of the resources utilization. The methodology proposed by Vissers and
Beech (2005) includes the following steps:
• First, describing the inflow of patients over the different patient types distinguished
• Secondly, identifying the different treatment profiles or types of treatments available for
each patient group
• Third, describe the process relating the different patient groups (a combination of the
patient types and the types of treatments) with their resources use.
• Finally, evaluate the performance of the process in terms of the resources utilization.
Using this approach it is possible to evaluate the feasibility of implementing the redesigned
ODT process in terms of the current capacity level and even propose the scenarios to improve the
chances of success for the redesigned ODT process.
3.2 Demand-supply model for clinical processes
3.2.1 Inflow of patients
The current inflow of new patients arriving at the clinic is on average 10,500 patients per
year, which is estimated to be approximately 250 patients every week. The clinic has been
operating during five years starting with an estimated inflow of patients of 6,500 patients during
the first year until 10,500 in the last year (2009) with an estimated increase of 1,000 patients
every year. These numbers were provided by the clinic considering the agreements between the
hospital and the clinic with respect to the expected amount of new patients that they should
receive every year.
Moreover, the total inflow of outpatients to the clinic is not only composed by new patients
but also by control patients. The control patients are those patients that have been treated at least
one time in the clinic and continue to make follow up visits every 6 months during the next two
years after their treatment. However, it is very plausible that patients treated for skin cancer will
be recurrent, which means that the probability to have a new tumor is very high. This will
influence our patient’s inflow because most of the patients will continue in the process for
longer. Considering this information and the fact that almost 48% of the total amounts of patients
evaluated are diagnosed with some type of skin cancer, the amount of control patients arriving to
the process nowadays can be estimated as 516 every week.
17
3.2.2 Treatment Profiles
The treatment profiles are the different types of treatments available for the new and
control patients in the clinic. They define the different paths followed by patients in the clinic. In
this particular case approximately 40% of the patients after their consultation are diagnosed
cancer free. The next 60% is referred for further medical tests. The type of diagnosis expected
for a patient at the clinic includes: (1) cancer-free, (2) basal cell carcinoma, (3) melanoma or (4)
squamous cell carcinoma. After the biopsy, almost 19% of the patients referred for medical tests
are included in the category of non BCC patients: cancer-free, melanoma or SCC.
The current study only includes the analysis of patients diagnosed with basal cell
carcinoma (BCC) as defined in the project scope. Therefore, the treatment profiles considered in
this analysis involve: self-treatment, PDT, MOHs and Excision. After the biopsy, approximately
44% of the patients are referred for self-treatment, 14% for PDT, 9% for MOHs and the
remaining 14% for Excision. These values were gathered from a database provided by the
hospital containing a collection of all the cases treated since 2005 until 2009 in the clinic.
Finally, there are five different paths that could be followed by a patient (new and control) after
their consultation in the clinic: (1) self-treatment; (2) PDT; (3) MOHs; (4) Excision; (5) Others:
melanoma, SCC or cancer free patients.
3.2.3 Process description and resources requirement per patient group
The general process followed by a patient at the dermatology oncology outpatient clinic,
looking from an aggregate level of patient flows and resources, starts when a patient calls for an
appointment. The secretary assigns the patient to the first available slot for the consultation.
Patients are referred by their general doctor, dermatologist or also self-referring. During the
appointment, the doctor makes a general check and gives a first diagnosis. The expected
diagnosis for a patient is one of the followings: (1) cancer-free, (2) basal cell carcinoma, (3)
melanoma or (4) squamous cell carcinoma, described in Figure 5.
Figure 5- Flow chart of activities followed by new patients diagnosed with BCC in the dermatology
oncology outpatient treatment
Patient arrival:
Call or referal
Expected skin
cancer patient
End process
Receive info about
definitive
diagnosis and
further treatment
Confirm
Diagnosis?
Melanoma
Squamous Cell
carcinoma
Basal Cell
carcinomaConsult Meeting
Take photo and
biopsy for
pathological check
Further Treatment
Self-treatment
Type of
Treatment?
Excision
Mohs procedure
Photo Dynamic
Therapy (PDT)
Post-treatment
care and control
checks
Some additional tests are required to confirm the diagnosis and to define the appropriate
treatment. The doctor asks the patient to make a photo of the cancer spot (in another area inside
of the hospital) and afterwards to go back to the dermatology oncology area to take a biopsy. A
18
nurse takes the sample from the biopsy and sends it to the pathology department, which is in
charge of the sample analysis to confirm or rejected the diagnosis. The doctor receives the
patient file again with the photo and results from pathology. With this information at hand, the
doctor decides the appropriate type of treatment for the patient and calls the patient to inform
about the final diagnosis and recommended treatment. Furthermore, the secretary calls the
patient and arranges an appointment for the treatment. The patient receives the treatment which
is followed by further control checks in the clinic to verify the condition of the cancer.
Different resources are involved in the process of diagnosis and treatment for patients
with BCC, as described in Table 1. The table presents the main resources directly responsible for
specific activities in the process. The second column classifies those resources considering the
kind of activities that they can perform. For instance, the assistants include personnel who can
perform different functions to support or assist doctors in their activities. They are integrated by:
(1) the secretary who plan the appointment; (2) receive the patient at the front desk; (3) the nurse
who assists the doctor during the excision or MOHs; (4) others who take the biopsy; (5) treat the
patient using the PDT. Those resources are shared by all the processes in the clinic, so to
estimate the amount of time available is necessary to consider the time that they are actually
scheduled for the specific activities involved in this process.
Table 1-Overview of the resources available at the clinic
Resource
Description
Classification Amount
available
Activities performed Time available per week
Specialists • 3 oncologists
• 4 dermatologists
7 • Supervision
• Consultation
• MOHs
• Excision
3 days a week per specialist,
including one day for
research
Doctors • AIO*
• ANIO**
8 • Consultation
• Excision
• MOHs
32 to 36 hours a week
plus 4 to 8 hours for
research
Assistants
• Secretaries
• Nurses Biopsy
• Nurse PDT
• Nurses Excision
25
(only part
time)
• Plan appointment
• Make appointments
• Receive patients at
front desk
• Biopsy
• Perform PDT
• Assist in MOHs
and Excisions
They work part time and
can be classified in three
main functions:
1. NP: nurse for MOHs,
PDT, excision, plan
MOHs
2. NU: biopsy and regular
nurse assist.
3. ST: secretarial
functions, front desk,
telephone, plan
appointments and
organize files.
Operating
Rooms • OK, internal
• KCI, external
2
3 • MOHs
• Excisions
OK are 7 days a week,
while KCI is 12 hours a
week
* AIO is “arts in opleiding” doctors studying for a specialization, requiring 8 hours a week for research
** ANIOS is “arts niet in opleiding specialisme” doctors studying for a specialization, with 4 hours for research
19
The analysis of resource usage in the process for new patient groups is shown in Table 2. It
includes a list of the different activities that should be performed in the process, the expected
duration of those activities and the time demanded per resource type. The resources considered
in the analysis are operating rooms, specialist, doctors and nurses. In some cases, the duration of
the activities differs between new and control patients. The distinction between a new and a
control patient is only made for the activities related to the diagnosis, because for the treatment
they demand the same amount of time from the different resources.
Table 2-Resource use per activity
Activity description
Estimated duration
(minutes) Resource
Resource use
(minutes)
Consult
Consultation meeting for new patient 15 Doctor 15
Specialist 5
Consultation meeting for control patient 5 Doctor 5
Take sample (Biopsy) 10 Biopsy nurse 10
Inform patient diagnosis and future
treatment 5 Doctor 5
Treatment: PDT treatment
Check file and ointment application 10 Nurse, PDT 10
Infrared light exposition
10 (after 3 hours) or
30 (after 2 hours) Nurse, PDT 20
Treatment: MOHs surgery
Prepare patient and perform surgery 35 Operation Room (OR) 35
Doctor 35
Nurse, Excision 35
Specialist 20
Analyze samples 7.5 Doctor 7.5
Specialist 7.5
Close wound and prepare report 15 Operation Room (OR) 15
Doctor 15
Nurse, Excision 15
Specialist 10
Treatment: Excision
Perform surgery and close wound 30 Operation Room (OR) 30
(the time change between patients: 15, 20, 30,40 minutes until 1
hour) Doctor 30
Nurse, Excision 30
Specialist 10
It is important to explain that for the PDT treatment, the time spent on the application of
ointment is on average 10 minutes and then patients need to wait during 2 or 3 hours for the
20
application of the infrared light which requires 30 or 10 minutes, respectively. Finally, the nurse
schedules the next appointment for a follow up visit.
3.2.4 Performance estimation for actual process
Having defined each step in the clinical process, it is possible to summarize the resource
usage in the process for patients looking for: (1) an appointment for consultation, (2) a PDT
treatment, (3) Excision or (4) MOHs, as shown in Table 3. It also shows the estimated weekly
demand or arrival of patients per group type.
Table 3-Resource use per patient group in the actual process
The information regarding the demand of each type of resources per patient group and the
weekly demand is used to estimate the resources needed during the week and to compare it with
the level of resources available for this process. Using the data from Table 3 and gathering
information from the clinic about the current capacity level, it is possible to link the demand and
supply of the most critical resources involved in the process, as shown in Table 4.
Table 4-Match between weekly demand and supply per resource type in the clinic
Resource
Weekly Demand
(per hour)
Weekly Supply
(per hour) Utilization (%)
1. Operating Room 67.0 120 55.83%
2. Specialists 62.6 104 60.19%
3. Doctors 199.9 216 92.55%
4. Nurse Excision 67.0 112 59.82%
5. Nurse PDT 32.0 40 80.00%
6. Nurse Biopsy 76.7 80 95.84%
The availability of resources per week is estimated using the current allocation of resources for
consultation and treatment during the week. The master schedule of doctors and specialists for
consult meeting and treatment are shown in Appendix B. It can be derived from Table 4, that the
current capacity level is sufficient to respond to the demand on an aggregated level. However, in
Patient's group per
unit
per
week
per
unit
per
week
per
unit
per
week
per
unit
per
week
per
unit
per
week
per
unit
per
week1. New patient cancer free 100 0 0 5 500 20 2000 0 0 0 0 0 0
2. New patient self-treatment and
non BCC 94 0 0 5 470 20 1880 0 0 0 0 10 940
3. New patient for PDT 21 0 0 5 105 20 420 30 630 0 0 10 210
4. New patient BCC refered for
MOHs14 50 700 32.5 455 67.5 945 0 0 50 700 10 140
5. New patient BCC refered for
Excision 21 30 630 15 315 0 0 0 0 30 630 10 210
6. Control patient cancer free 206 0 0 0 0 5 1030 0 0 0 0 0 0
7. Control patient self-treatment
and non BCC 196 0 0 0 0 10 1960 0 0 0 0 10 1960
8. Control patient for PDT 43 0 0 5 215 10 430 30 1290 0 0 10 430
9. Control patient BCC refered for
MOHs 28 50 1400 37.5 1050 57.5 1610 0 0 50 1400 10 280
10. Control patient BCC refered
for Excision 43 30 1290 15 645 40 1720 0 0 30 1290 10 430
Total (in minutes): 4020 3755 11995 1920 4020 4600
Total (in hours): 67.0 62.6 199.9 32.0 67.0 76.7
Estimated
weekly
demand
Nurse, PDT Nurse Excision Nurse BiopsyOperating
Room (OR)Specialists Doctors
21
order to implement the redesigned ODT process, it is necessary to evaluate the level of matching
between demand and supply on a daily basis. This evaluation is described in the next subsection
and provides insights into the amount of capacity expected to be reserved for the patients flow
and the areas of improvement for the definition of different scenarios.
- Performance estimation with the redesigned ODT process:
The implementation of the redesigned ODT process requires an analysis of the capacity
available compared to the demand on a daily basis. Therefore, it is necessary to identify the
difference in the demand imposed by the implementation of the redesigned ODT process. This
difference has roots in the demand of resources for treatment combined with the consultation of
patients. Until now, the demand of appointment slots for consultation has been managed
independently from the demand of appointment slots for treatment. They use independent
waiting lists for the consultation of patients and for the different treatments. Nevertheless, the
demand of resources for treatment for patients following the redesigned ODT process is guided
by the amount of patients arriving for consultation.
The redesigned ODT process imposes the need to align both services: consultation and
treatment, to be offered on the same day. This alignment guarantees that every new patient
arriving at the clinic for consultation following the redesigned ODT process will have the
resources available for treatment during the same day. Nowadays, a master schedule is prepared
in the clinic to present a weekly plan of activities for the specialists, doctors and nurses. This
schedule intends to coordinate the different activities at the clinic and at the same time reserve a
specific amount of capacity every day for the different patient groups. This master schedule is
revised every six months with small changes based on the availability of resources at that time.
Using these schedules-- one for operating rooms, specialists, doctors and another for nurses-- we
defined the current capacity level available every day (each day-part: morning or afternoon) for
treatment. This information is used to compare it with the current demand of resources per
patient group on a daily basis for the different patient groups. The patient groups need to be
defined, following the same steps proposed by Vissers and Beech (2005) using the demand-
supply model for the analysis of hospital processes.
The first step is to distinguish patient types: regular or ODT patients. For the treatment
there is no need to differentiate between new and control patients because they follow the same
path in the process and demand the same amount of resources.
The second step is to identify the treatment profiles, which are the same as in the actual
process: Self-treatment, PDT, MOHs or Excision. In this study only the evaluation is included of
patients referred for MOHs surgery following the actual process and not the redesigned ODT
process. This will guide to the definition of the patient’s groups available for treatment:
[1] Patient PDT-regular flow
[2] Patient PDT - ODT
[3] Patient MOHS
[4] Patient Excision-regular flow
[5] Patient Excision-ODT
22
The estimation of the demand requirements per patient group is the next step needed to
define the total amount of resources demanded each day to estimate the resources utilization. The
daily resource use for patient groups is shown in Table 5, considering the arrival of patients
following the regular and the redesigned ODT process.
Table 5- Daily resource use per patient group with the redesigned ODT process
Patient's group Resource use
Average time
(in minutes)
Estimated
daily demand
Estimated
weekly demand
1. Patient PDT - regular flow Nurse, PDT 30 13 64
2. Patient PDT-ODT Nurse, PDT 30
3. Patient MOHs Operation Room (OR) 50
8 41 Specialist 37.5
Doctor 57.5
Nurse, Excision 50
4. Patient Excision-regular
flow Operation Room (OR) 30
13 64
Specialist 10
Doctor 30
Nurse, Excision 30
5. Patient Excision-ODT Operation Room (OR) 30
Specialist 10
Doctor 30
Nurse, Excision 30
*Values estimated multiplying the total amount of new and control patients expected per week, to the %
corresponding to each treatment type (8.4% for PDT, 5.4% for MOHs and 8.4% for Excision). This data was
gathered from data base collecting all cases including 2005 until 2009
The step that follows is the estimation of the amount of resources needed to fulfill the
daily demand of patients arriving at the clinic. However, to estimate the daily demand of
resources we need to identify the percentage of patients expected to be treated using PDT
following the regular flow and the percentage following the redesigned ODT process. The same
needs to take place for Excision. For instance, every day it is estimated that an average of 13
patients demand treatment using PDT as shown in Table 5, but how many of them should be
treated in one day and how many will follow the regular process? Even though the resources use
is the same for all the patients treated using PDT (regular or ODT), their daily demand differs
and is affected by different factors.
Patients treated with PDT following the regular process have a previous assignment of an
appointment date for their procedure. Those patients are assigned to one of the appointment slots
available during the week based on the master schedule, so they have a scheduled demand.
However, the demand of patients for PDT following the redesigned ODT process cannot be
scheduled or well known in advanced because it depends on the amount of patients arriving for
consult during this day and diagnosed with BCC refereed for treatment. The unscheduled
admission of patients requires the placement of open appointment slots for their treatment every
day. Then the question arises: how much capacity should be held open for ODT patients? This
23
decision will affect the demand of resources during the week. This question suggests that one
factor to be considered in the analysis for the implementation of the redesigned ODT process is
the percentage of capacity that should be reserved for patients following the redesigned ODT
process refereed for PDT and Excision. The next subsection will analyze the effect of the
admission planning in the implementation of this redesign.
3.3 Admission and capacity planning
The admission planning has been studied extensively in the literature as shown in the
previous chapter. It was analyzed how different decisions in the admission planning impact the
performance of the system in terms of waiting time of patients and resources utilization. Some of
the most important decisions identified were the selection of a scheduling strategy, the definition
of an appropriate appointment rule, the percentage of appointment slots held open and their
allocation. In the previous section, the question was raised on the percentage of appointment
slots that should be held open for patients treated by the redesigned ODT process. This section
intends to evaluate the feasibility of implementing the redesigned ODT process at the clinic
using the current admission planning and to identify alternative options to be used for the
definition of the scenarios.
The resource use per patient group shows that the resources needed for the PDT and
Excision are independent. A specialist, a doctor and a nurse Excision is required for the Excision
while only the nurse PDT is required for the PDT. Therefore, the analysis of their capacity for
PDT is presented independently from the analysis for Excision and MOHs.
3.3.1 Planning for PDT
The current admissions for PDT are scheduled in advance. The average waiting time for
PDT treatment is approximately 2 weeks. There is one nurse specifically assigned for PDT every
day in the clinic, and the maximum amount of patients planned per day is 8 patients. With this
information at hand, it is clear that implementing the redesigned ODT process could lead to a
capacity loss due to appointment slots held open. Therefore, it is necessary to estimate the
expected capacity loss due to the implementation of the redesigned ODT process.
The first step is to estimate the daily demand of resources (PDT nurse) for patients using PDT
and following the redesigned ODT process. This demand is defined by new patients arriving to
consultation every day. It is estimated that approximately 8.4% of the patients belongs to the
patient group diagnosed with BCC and refereed to be treated using PDT. Therefore, with the
information about the amount of new patients arriving per day we can estimate their daily
demand. In this analysis is required to consider one restriction imposed in the system, which is
the fact that only patients arriving at the clinic for diagnosis during the morning can receive the
results from the biopsy and are able to be treated during the same day. Due to this restriction we
can only include new patients arriving during the morning in the estimated demand. The
expected daily demand for PDT- ODT patients is shown in Table 6, expressed in amount of
patients and in minutes demanded of PDT nurse.
24
Table 6- Expected daily demand of resources PDT-patients by the redesigned ODT process
Day Admission new
patients
Number of slots
open for PDT
Number of slots open
for PDT (rounded)
Resource use
(in minutes)
Monday 25 2.1 2 60
Tuesday 25 2.1 2 60
Wednesday 25 2.1 2 60
Thursday 15 1.26 1 30
Friday 40 3.36 4 120
Saturday 0 0 0 0
Sunday 0 0 0 0
Total 10.92 11 330
The next step consists of estimating the current capacity level available for the PDT every
day. There is one nurse every day available for treatment, but they only schedule a maximum of
8 patients every day. This amount of patients will be used to define the target utilization level for
the nurse PDT. Using this information it is possible to identify the percentage of time demanded
for ODT-patients every day and to define the percentage of appointment slots that must be held
open every day for this implementation as shown in Table 7.
Table 7- Estimated percentage of appointment slots open for PDT-patients by the redesigned ODT
process
Day Resource use
(in minutes)
Current
availability
Demanded open
slots (%)
Monday 60 240 0.25
Tuesday 60 240 0.25
Wednesday 60 240 0.25
Thursday 30 240 0.125
Friday 120 240 0.5
Saturday 0 0 0
Sunday 0 0 0
From Table 7 we can conclude that the maximum percentage of appointments held open
in the current situation should not exceed 50%, because it will represent a loss in capacity that
will not be utilized. Another insight provided by this analysis is that the expected percentage of
appointments that must be held open per day is 27.5% which is the average of the % of open
slots demanded per day shown in Table 7. This percentage represents 2 appointment slots held
open every day (0.275*8=2.2). However, it is important to consider that the percentage of
appointment slots held open depends on the daily demand. The demand used for the previous
analysis does not include the total amount of patients arriving to the clinic during the week, but
only patients scheduled for a consultation during the morning.
Therefore, how can we extend the redesigned ODT process to all new patients treated by
PDT? One option is to allocate all the appointment slots for new patients during the morning.
25
This requires a modification in the current admission rule in which every doctor receives five
new patients per block. However, this change will duplicate the amount of patients demanding
the redesigned ODT process for treatment every day, maintaining the same amount of
appointment slots available. Therefore, four appointment slots must be held open instead of two
considering the new demand. The same analysis is exposed as follows for the patients referred
for Excision by the redesigned ODT process.
3.3.2 Planning for Excision
The admissions planning for the Excision is also scheduled in advanced and the recent
average waiting time for Excision is approximately 40 days. The resources assigned for the
Excision are shared with the MOHs, and includ a specialist, doctor and a Excision-nurse as
shown in Table 5. Similar to the previous analysis, the current capacity level should be compared
to the demand. In this case the daily demand is calculated adding the resource use for the MOHs,
for the scheduled patients for Excision and the expected demand for patients following the
redesigned ODT process, as shown in Table 8. The expected time demand of patients for ODT is
calculated in the same way as the estimation for PDT patients by the redesigned ODT process,
using the new patient’s arrival based on their planned admission for consultation. The percentage
of patients estimated to be diagnosed with BCC and referred to be treated using Excision is
approximately 8.4% from the total population arriving. This percentage was gathered from a
database provided by the clinic collecting all the cases treated from 2005 until 2009.
Nevertheless, it could be argued that by adding the demand of scheduled patients with all
the expected patients for Excision we are duplicating the population of patients looking for the
Excision. Actually, the approach here is to evaluate if with the current demand, the clinic could
add the new patients arriving for treatment (ODT-patients) to the original flow of patients. If not,
then we need to follow the same approach used for the PDT, in which it is estimated the
percentage of appointment slots that must be held open for the patients by ODT.
The demand shown in Table 8 is estimated per resource type. The demand of the
scheduled patients was defined using the master schedule for treatment prepared at the clinic
every six months. This schedule includes the operating rooms, specialists and doctors and the
treatment type (MOHs or Excision). The estimation of the resource use per patient (from Table 5)
is multiplied by the daily demand to define the resource use in minutes every day for operating
rooms, doctors, specialists and nurses. Nowadays, the clinic has some restrictions in terms of the
maximum amount of MOHs procedures that they can perform per day, limited to 4. The capacity
reserved for the treatment exceeds the time demanded by these patients, suggesting the
possibility to improve the resources utilization including the new patients treated by Excision
with the redesigned ODT process. The next step is to compare the daily demand with the supply
per resource type (See Table 9 ).
26
Table 8- Estimated resources use by patients treated with MOHs and Excision
MOHs
Day per pat per day per pat per day per pat per day per pat per day
Monday 4 50 200 37.5 150 57.5 230 50 200
Tuesday 4 50 200 37.5 150 57.5 230 50 200
Wednesday 0 50 0 37.5 0 57.5 0 50 0
Thursday 4 50 200 37.5 150 57.5 230 50 200
Friday 0 50 0 37.5 0 57.5 0 50 0
Saturday 0 0 0 0 0 0 0 0 0
Sunday 0 0 0 0 0 0 0 0 0
Total (in minutes): 600 450 690 600
Total (in hours): 10.0 7.5 11.5 10.0
Scheduled Excision
Day per pat per day per pat per day per pat per day per pat per day
Monday 0 30 0 10 0 30 0 30 0
Tuesday 36 30 1080 10 360 30 1080 30 1080
Wednesday 0 30 0 10 0 30 0 30 0
Thursday 0 30 0 10 0 30 0 30 0
Friday 12 30 360 10 120 30 360 30 360
Saturday 0 0 0 0 0 0 0 0 0
Sunday 0 0 0 0 0 0 0 0 0
Total (in minutes): 1440 480 1440 1440
Total (in hours): 24.0 8.0 24.0 24.0
ODT-Excision
Day per pat per day per pat per day per pat per day per pat per day
Monday 4 30 120 10 40 30 120 30 120
Tuesday 4 30 120 10 40 30 120 30 120
Wednesday 4 30 120 10 40 30 120 30 120
Thursday 3 30 90 10 30 30 90 30 90
Friday 7 30 210 10 70 30 210 30 210
Saturday 0 0 0 0 0 0 0 0 0
Sunday 0 0 0 0 0 0 0 0 0
Total (in minutes): 660 220 660 660
Total (in hours): 11.0 3.7 11.0 11.0
Total demand
Day
Monday
Tuesday
Wednesday
Thursday
Friday
Saturday
Sunday
Total (in minutes):
0 0 0 0
2700 1150 2790 2700
570 190 570 570
0 0 0 0
120 40 120 120
290 180 320 290
320 190 350 320
1400 550 1430 1400
Patient's
arrival
Operating Room
(OR)
Specialists Doctors Nurse Excision
Operating Room Specialists Doctors Nurse Excision
Specialists Doctors Nurse Excision
Patient's
arrival
Operating Room
(OR)
Specialists Doctors Nurse Excision
Patient's
arrival
Operating Room
(OR)
27
Table 9-Match between daily demand and supply per resource type for MOHs and Excision
The comparison between the demand of resources per day and their availability provides
some insights into the factors that could diminish the implementation of the redesigned ODT
process. It can be observed in the bottom of Table 9, that the total amount of resources per week
is sufficient to fulfill the current demand and the demand of new patients for Excision by the
redesigned ODT process. However, when the comparison is done on a daily basis it can be
observed a very variable level of utilization for all the different resources, even in some cases
unable to fulfill the expected demand. This analysis is only performed using the current capacity
level at the clinic. The variability due to some peak demand during a day in the weeks is
assumed to be managed by treating the patient during the next day available without considering
overtime or additional capacity. Under this assumption, results suggest that in order to
implement the redesigned ODT process it is necessary to change the allocation of resources
within the different days of the week. Also, the availability of two internal operating rooms
increases the flexibility and provides room for improvements.
3.4 Concluding from the process analysis
The analysis of the actual process for patients diagnosed with BCC at the dermatology
oncology outpatient clinic in the Catharina hospital provided some insights into the feasibility of
implementing the redesigned ODT process for patients referred for PDT and Excision. The
approach followed in this chapter used the demand-supply model for the analysis of hospital
processes described in Vissers and Beech (2005). This approach proposed to evaluate the match
between demand and supply in the clinic.
The idea is to identify different patient groups combining the patient’s types and
treatments profiles to estimate their individual demand of resources. Using this information and
the inflow of patients for the different groups, it is possible to estimate the total demand of
resources for a specific period, starting from one week until one day. This demand is compared
with the current capacity level at the clinic. Using this information we can estimate the
percentage of resources utilization and evaluate the feasibility of this implementation.
It was identified that the feasibility of the implementation is different for patients treated
with Excision and patients with PDT. For the patients treated with PDT, it is necessary to define
a percentage of open appointment slots available every day for the treatment of new patients with
the redesigned ODT process, because nowadays the resources available for PDT is limited to one
nurse per day, which is sufficient to fulfill the current demand but leave no room for the new
arrivals. The percentage of appointment slots that must be held open every day is on average
27.5% to fulfill the arrival of patients for PDT by the redesigned ODT process.
Day demand supply % util. demand supply % util. demand supply % util. demand supply % util.
Monday 320 960 0.333 190 960 0.198 350 960 0.365 320 960 0.333
Tuesday 1400 2400 0.583 550 1440 0.382 1430 1920 0.745 1400 1440 0.972
Wednesday 120 960 0.125 40 480 0.083 120 0 120 480 0.250
Thursday 290 960 0.302 180 960 0.188 320 480 0.667 290 480 0.604
Friday 570 1440 0.396 190 960 0.198 570 480 1.188 570 720 0.792
Saturday 0 0 0 0 0 0 0 0 0 0 0
Sunday 0 0 0 0 0 0 0 0 0 0 0
Total (in minutes): 2700 6720 0.4018 1150 4800 0.240 2790 3840 0.7266 2700 4080 0.662
Operating Room (OR) Specialists Doctors Nurse Excision
28
Nevertheless, the situation for patients treated with Excision is different. They have
plenty capacity available to fulfill the weekly demand of patients arriving for Excision by the
redesigned ODT process, but this capacity needs to be allocated differently among days, because
now there is a significant variability between the resources utilization between days in the week
and even in some cases the resources are not sufficient to fulfill the daily demand. Doctors seem
to be the most critical resource for this reallocation.
One conclusion is that it is feasible to implement the redesigned ODT process in the
clinic for patients referred for PDT and Excision, considering that the current capacity level is
sufficient to fulfill the current demand. Also, another conclusion is that significant factors for this
implementation are: the admission rule, the percentage of appointment slots held open for the
PDT - ODT patients, and the allocation of capacity throughout the week for Excision-ODT
patients.
The analysis performed in this section is considered as a first step to get some insights
into the problem and the alternative ways to improve the current situation. However, in this
analysis the inflow of patients and the time durations for each activity were assumed to be
deterministic which does not correspond to the real situation in the clinic. It is well known that
the time of a surgery or consultation changes significantly among patients. Even more important
is it that the arrival of patients with a specific type of diagnosis also changes from one day to
another and this impacts the utilization of the resources at the clinic, assuming that we are
proposing to let some appointment slots open for patients that could arrive every day. In order to
improve the effect of changes in the actual system it is proposed to use a simulation model (Lee
and Asllani, 2001), which allows to introduce the variability expected in the patient’s arrival and
the processing times duration.
The next chapter presents a development of a simulation model for the actual process and
for the redesigned ODT process. The simulation model described in Chapter 4 will be used for a
quantitative evaluation of the scenarios proposed in Chapter 5.
29
4 MODEL DEVELOPMENT This section is devoted to the development of the model to simulate the current and the
redesigned ODT process followed by patients diagnosed with BCC within the dermatology
oncology outpatient clinic at the Catharina hospital.
4.1 Simulation model description
A simulation package called Arena 7.0 from Rockwell Software is used for the
development of this model, considering that it provides tools to support the analysis needed. This
section includes the main characteristics related to the data collection, a detailed description of
the processes characteristics and how they were translated in the model. Details about the model
elaboration are included in Appendix C.
4.1.1 Input Data
The absence of stored event logs to discover the process flow, suggested the need to
collect the data manually from the people involved in the process (Sharp and McDermott, 2001).
The first step was to interview experts to identify critical resources in the process, including the
most experienced personnel for each activity. The objective of those interviews was to identify
the main characteristics of the process, their activities and all resources required.
The data regarding the duration of process activities was not available and neither the
arrival pattern of patients per day. Therefore, an estimation of those durations was provided by
experts, to define the input probability functions. For the arrival pattern, it was considered the
expected amount of patients to be treated every year, as discussed in more detail in this section.
Moreover, stored information related to the patients treated in the clinic between 2005 and 2009
was used to define the percentage of patients per type of treatment. The main input data required
to build the model can be grouped as follows:
- Arrivals:
Every year the clinic agrees with the hospital to receive a minimum amount of new
patients during the year. For their planning, they consider this amount of patients and assume 40
weeks per year, subtracting the different holidays of their personnel during the year. The amount
of new patients arriving every year has been increasing from approximately 6,500 patients during
the first year (2005) until an actual expected amount of 10,500 for the current year. Nowadays,
the number of patients calling for an appointment every day is not known because the hospital
always keep a waiting list that acts as a buffer reducing the variability present in this arrival
process. However, it is very important to consider the variability inherent in the daily arrival of
patients, especially to measure the system performance with the implementation of the
redesigned ODT process.
The exponential distribution seems to be appropriate to model the inter-arrival time of
calls from new patients, considering that it is suitable to describe the times between events that
occurs independently and continuously. In this case the arrival of a call does not depend on the
time of the previous call showing the independence of those events, and the variable time is
continuous. This distribution also has the advantage that it introduces a significant variability in
the arrival process. It is also specified in the model that patients only call during weekdays from
8:30 AM-5:00 PM. Therefore, with this schedule it is defined that arrivals occurred only one
30
time every day and the amount of calls arriving follows a Poisson distribution with a parameter
lambda equal to 53. The parameter used for the Poisson distribution is the average daily arrival
of patients in the current year in which the simulation begins, as shown in Table 10.
Table 10-Parameter for the Poisson distribution
Year Expected patients
arrival per year
average weekly
arrivals
average daily
arrivals Increment
2005 6,500 163 33
2006 7,500 188 38 5
2007 8,500 213 43 5
2008 9,500 238 48 5
2009 10,500 263 53 5
A sensitivity analysis was conducted to identify the impact of the selected distribution in
the performance. The results are shown in Appendix F and present a bias in the average
throughput time for patients treated by Excision when the distribution used to simulate the
number of new patients arriving every day is Poisson instead of deterministic. The difference is
approximately 5 days on average.
In the current situation, there is no data available about the current arrival pattern of new
patients to the clinic, only historic data of patients scheduled for treatment. With this lack of
information and the knowledge about the influence of the selection of the distribution for the
arrival of new patients in the system performance, it was chosen the distribution that introduces a
higher variability to the system. This distribution provides results for a worst case scenario.
- Service Time Distributions:
The service time for all the activities in the process were provided by the resources
directly involved in the process, since no historical data was available. For cases were no data is
available, Law and Kelton (2000) suggested assuming a triangular or beta distribution, and
estimating the parameters. In this case the triangular distribution was selected, since the
parameters could be easily estimated by the personnel from the clinic which are not familiar with
statistics. The triangular distribution is defined by the minimum, most likely (modal) and
maximum value which is a natural way to estimate the time required to perform a task (Kelton,
2004).
Even though the personnel used for the estimation of those times is very experienced,
they may not provide perfect estimates of the parameters for the distributions. The appropriate
approach as suggested by Wilson (1990) would be to collect sample data and hypothesize a
standard distribution. Then, the parameters of the corresponding distribution could be estimated
using the data collected to assess the adequacy of the fit with a goodness-of-fit test. With this
approach it is possible to identify if the hypothesis that the data followed the corresponding
distribution cannot be rejected. Sample data was collected observing the activities in the process,
but the amount of observations was not sufficient to perform goodness-of-fit tests. Therefore, we
rely on the opinion of personnel involved in the process and small samples were taken to identify
if they lay between the parameters described for the distribution. The results from the activities
evaluated are shown in Appendix D, and were used as input for the model.
31
- Patients classification:
Patients are classified in two groups: new and control patients, using an attribute called
PatientType equal to 1 and 2, respectively. Those patients are also classified in: regular patients
or ODT. The regular patients follow the actual process flow at the clinic, while the second group
are diagnosed and treated during one day, following the redesigned ODT process.
From the total amount of patients in consultation, approximately 40% are diagnosed
cancer free and the rest requires further clinical tests. The results from those tests also define
different routings for the patients in the process. Data obtained from the clinic records included
the percentage of patients that are sent to diagnostic testing, as well as the percentage that are
referred for treatment and the type of treatment. Using these percentages, patients are also
categorized based on their treatment as: (1) 19%, non BCC patients; (2) 44%, self-treatment;
(3)14%, PDT; (4) 9% for MOHs, and (5) 14% for Excision.
- Resources:
The resources considered in the model were grouped in four different sets of resources,
each one with a specific scheduled availability. Those resources were the same described in
Table 1. This section will describe how they were modeled. First, the Operating Room which
includes 5 different resources: OR1, OR2, KCI1, KCI2 and KCI3. Internal operating rooms
(OR’s) are available five days a week, in two shifts from 8:30AM- 12:30 and 1:30-5:00 PM with
a one hour break for lunch, while the external ones (KCI) are only scheduled to operate on
Tuesday and one block during Friday.
Secondly, the Specialists which include two types of resources in a set called specialist:
(1) the specialists for supervising the consultation and (2) specialists assigned for treatment. To
schedule their availability the time was ignored in which they are assigned for research or
another activity not included in this model. The amount of specialists for supervision available
per day is obtained from the weekly schedule shown in Table 14, and available for treatment in
Table 17.
Thirdly, the Doctors which include two types of resources in a set called doctors: (1)
doctors assigned for consultation and (2) doctors assigned for treatment. To schedule their
availability it was ignored the time in which they are assigned for research. The amount of
doctors available per day is obtained from the weekly schedule shown in Table 13, and available
for treatment in Table 16.
Finally, the Assistants which group the secretaries and nurses based on their main
functions in the process. The resources included in this model were: (1) front desk, with a
scheduled capacity of 2 available every working day; (2) secretary, with a scheduled capacity of
3; (3) biopsy, including 2 planned resources per day; (4) PDTnurse, following a regular Work
week schedule because it has a scheduled capacity of 1 nurse per day; and finally (5) Excision
nurse, including the nurses available to assist during the MOHs and Excision with a variable
availability of resources during the week from one until three nurses per days. These values are
assigned based on the current schedule for the nurses.
32
4.1.2 Model flow logic
The model developed includes two significant processes that interact to provide the service
for patients with basal cell-carcinoma arriving at the clinic. First, the patients flow logic,
including the activities followed by a patient since they contact the clinic for an appointment,
receives the diagnosis by a doctor until finish the recommended treatment. Secondly, it includes
the appointment planning, which includes the internal process or group of decisions involved in
the assignment of an appointment date and time with a specific doctor for consultancy and for
treatment.
The model was built integrating: (1) the simulation model in Arena to build the patients
flow logic described previously; (2) a code using Visual Basic for Applications (VBA) for the
appointment planning; And finally (3) an integrated Excel user interface with the Arena
simulation model to simplify the review of specific output values and the model verification. All
explained in detail in Appendix C.
4.1.3 Performance measures
The statistics collected in the model includes the throughput time per patient group and
the amount of patients treated. The statistics are collected independently between patient’s
groups and included the following: BCC patients referred to self-treatment, regular patients for
PDT, patients for PDT- following the redesigned ODT process, patients referred for MOHs,
regular patients referred for Excision, and patients for Excision by the redesigned ODT process.
The throughput time is defined as the time since patients arrive to the consult meeting,
until the first treatment is completed. This information is important to identify how the
implementation of the redesigned ODT process does not only affect the throughput time of the
patients using the redesigned ODT process, but also the average throughput time including all
the patients treated. The resources utilization and average waiting time in all the queues
throughout the process are also collected with the Arena simulation tool.
4.1.4 Verification and Validation
The verification consists evaluating if the computer model represents the conceptual
model authentically. This verification was performed while building the model isolating the
different parts of the model and identifying if they provide the expected values. The interface
between the model built using the VBA code and Excel was mostly developed to be able for this
verification. A sample of the output generated in Excel is shown in Table 11. This output
corresponds to the planning of appointments for Excision. For instance, it shows that the
appointment day is never set before the day when patients contact the clinic, as expected.
Additionally, the position is never greater than 6 per block in one day using the same room. It
can be observed that in line 7, the position restart to one, but nextcol (representing the operating
room) change from 3 to 4. In general, the model was verified dividing it in different parts
manageable to identify that changes in input parameters produce the expected change in the
output (Kelton et al, 2004).
33
Table 11 – Output generated in Excel for the model verification
Once the model is verified, the next step is to validate if it behaves according to the actual
system. There are several methods to validate a simulation model. In this case, the statistic of
interest for the validation of the model is the throughput time for patients per treatment type. To
calculate those statistics the run length was set to one year, represented by 280 days (40 weeks*7
days a week), using 50 replications with a warm-up period of 160 days. The procedure to
estimate the warm up period is described in detail in Appendix G. The results obtained were an
average throughput time for new and control patients treated by PDT is 14.35 days comparable
to the current expected waiting time of 12-21 days approximately. For the Excision, the 95%
confidence interval for the average throughput time for new and control patients is from 35.0 to
35.7 days. This value lies between the current expected waiting time, which varies between 21
and 45 days.
The main interest of this study is to evaluate different scenarios for the redesigned ODT
process that is not in operation at the moment at the clinic. Therefore, the next section will
explain the changes required for the redesigned ODT process.
4.2 Modeling the redesigned one-day treatment (ODT) process
4.2.1 Model flow logic
The main differences introduced with the ODT-redesigned process are related to the
reduction in the time spent by the pathology department to provide the results from the biopsy.
Nowadays, the results provided from pathology are sent to the secretary approximately two
weeks after the samples are taken. For the redesigned ODT process, samples from the biopsy
taken in the morning before 11:00 AM are sent to the laboratory and the results are available in
approximately 2 hours. There is also a reduction in the assistant’s utilization regarding
administrative tasks. Details related to the changes required in the model to implement the
redesign are explained in detail in Appendix E.
4.2.2 Verification and Validation
The verification was performed in the same way as described for the regular process.
However, for the validation, a sample data of 20 patients was used. This data consists on the
results gathered from a pilot study in which 20 patients were invited to receive their treatment on
the same day of diagnosis. This pilot test intended to evaluate the feasibility to implement this
new process and the willingness of patients to be treated on the same day. The test consisted on
Patient_ID PatientType call-day week-dayAppointment
daynextrow_treat4 nextcol_treat4 position
94 1 18 6 21 12 3 1
26 1 18 6 21 12 3 2
92 1 19 6 21 12 3 3
119 1 19 6 21 12 3 4
118 1 19 6 21 12 3 5
36 1 19 6 21 12 3 6
3 1 20 6 21 12 4 1
187 1 21 2 24 4 1 1
154 1 24 3 25 5 3 1
34
the identification of patients with solid or superficial basal cell carcinoma and their referral to
receive Excision or the PDT during the same day of diagnosis.
The validation consisted on identifying the average throughput time for patients. The
results gathered varied between 3 to 25 hours, with one patient treated in the next day available.
The number of observations was not enough to create an accurate confidence interval. Therefore,
the results gathered from the simulation were varied between 3 to 52 hours for PDT and from 3
to 17 hours for Excision.
4.3 Concluding from the modeling An elaboration of the simulation model is described in this chapter, to represent the
current situation followed by a description of the changes incorporated to model the redesigned
ODT process. The model was constructed using a simulation tool called Arena 7 for the flow
logic, supported by a visual basic code to model the planning of the different appointments for
consultation and treatment. Also, an interface with Excel was used to facilitate the verification of
the model.
During the model development, it was validated using data from the actual system and
comparing with the statistics gathered from the model. The main performance measure used for
the validation was the patient’s throughput time per type of treatment. The results obtained were
an average throughput time for new and control patients treated by PDT is 14.35 days
comparable to the current expected waiting time of 12-21 days approximately. For the Excision,
the average throughput time for new and control patients is 34.25 days. This value lies between
the actual expected waiting time, which varies between 21 and 45 days.
Moreover, the model was modified to incorporate the necessary changes to implement
the redesigned ODT process. Those changes included a new classification for the patients (using
an attribute) in regular or ODT patients. This classification determines a difference in the steps
that they should follow for their treatment. The most significant change in their path is that
pathology provides the results of the biopsy in approximately less than two hours, while in the
actual system the results are provided almost two weeks after the biopsy. The reduction of time
for this activity is critical for the success of the implementation of the redesigned ODT process.
Therefore, the further analysis is performed assuming the reduction in the waiting time of this
activity. Using the model developed, the next chapter presents alternative scenarios to evaluate
the effect of changing some parameters in the model, in case of implementing the redesigned
ODT process.
35
5 SCENARIOS
5.1 Introduction The previous chapter described a simulation model used to represent the actual process
and the redesigned ODT process followed by patients diagnosed with BCC at the Catharina
hospital. Simulation has shown to be a good approach to analyze different scenarios as explained
previously in the literature review. Therefore, the factors identified in the process analysis are
used in this chapter to define different settings to build the scenarios most promising to improve
the actual system performance with the implementation of the redesigned ODT process.
5.2 Selection of factors Using the results gathered from the capacity analysis in Chapter 3, some factors were
identified as critical for a successful implementation of the redesigned ODT process. They are
described as follows:
5.2.1 Admission rule The admission planning consists in scheduling the admission of patients according to
medical priorities and their resources requirements. It involves important decisions, including:
(1) the number of patients admitted for a specialty each day; (2) the priority between patients,
studied by Klassen and Rohleder (2004); (3) the placement of appointment slots per patient type;
(4) the duration of each appointment slot. The current admission planning divide every day in
two blocks, in which the maximum number of patients admitted for consult meetings per doctor
is 17, a maximum of 5 new patients per block per doctor and 12 control patients (See Appendix
H ). The first two appointment slots are reserved for control patients followed by one new
patient. The amount of time reserved for each consult meeting varied between patient types, 5
minutes assigned for control patients and 15 minutes for new patients. After two control patients
there are 5 minutes blocked to manage the variability present in the process.
Nowadays, the admission of patients for consult meeting is independent from the
admission of patients for treatment. However, for the implementation of the redesigned ODT
process this situation change, as shown in Chapter 3. The admission of new patients for consult-
meeting influences the inflow of patients to be treated following the redesigned ODT process
every day. Therefore, it is important to identify how the admission rule could be modified to
increase the number of new patients treated following the redesigned ODT process. It is also
important to consider that the patients should complete their diagnosis, picture and biopsy during
the morning to receive the results from pathology during the same day. Under those restrictions,
it is proposed to evaluate the feasibility of implementing the redesigned ODT process for all the
new patients arriving at the clinic who are interested to be treated on the same day. It implies that
the patient has the option to choose between been included in the waiting list for a scheduled
appointment, or been treated during the same day of diagnosis. In this study it is evaluated a
proposed alternative in which the amount of new patients assigned for each doctor per block is
changed from 5 to 10 every day. The proposed allocation of appointment slots is shown in
Appendix H. It includes 10 new patients per doctor per block during the morning and 7 control
patients. Therefore, all the appointment slots during the afternoon are held for control patients.
36
It was suggested by some doctors that 5 minutes for appointment slot for control patients
was not sufficient. This was approached before by the clinic blocking 5 minutes after two slots
for control patients. The duration of the appointment slots for control patients is set to 10 minutes
for the proposed plan, removing the 5 minutes block in the current plan. Finally, the admission
rule will be explored in two different levels: actual and proposed as described before.
5.2.2 Percentage of open slots available for PDT and Excision The analysis in section 3.3.1 concluded that for the current demand, the average amount of
appointment slots that should be held open is 27.5% for ODT-patients referred for PDT. The
amount of appointment slots available for PDT every day is 8, indicating that on average 2.2
rounded to 2 appointment slots should be held open every day. However when the inflow of new
patients increase, this percentage also increases considering that the resources available remain
the same. Considering the interest of the clinic to offer the opportunity to be treated during the
same day of diagnosis to all the new patients, it is necessary to evaluate the amount of
appointment slots that should be held open and the effect on the performance for other patient
groups, for instance control patients. For the PDT, 4 appointment slots should be held open as
estimated in Chapter 3.
For the Excision, it was found in the analysis that the resources available are underutilized,
allowing the inclusion of extra patients for treatment. This analysis was performed considering
the worst case scenario, in which all the new patients referred for Excision can be treated during
the same day. In this case, 5 appointments slots can be held open for Excision every day. While
for the actual admission rule with only half of the new patients arriving for treatment during the
same day, only 3 appointment slots should be reserved for those patients. Finally, two different
levels will be evaluated for this factor: (1) Appointment slots open for PDT equal to 2 and 3 for
Excision; and (2) Appointment slots open for PDT equal to 4 and 5 for Excision.
5.2.3 Resources allocation for Excision The analysis identifies that the amount of resources available for the Excision and MOHs
are sufficient to fulfill the current demand and additionally to treat the patients arriving every day
to follow the redesigned ODT process. However, it was also discovered that the current
allocation of resources shown in Table 12 requires improvement to support this implementation.
Table 12 – Current allocation of resources for MOHs and Excision
Block
Doctors -
consult meeting
Doctors -
treatment
Specialists -
superv. consult
Specialists -
Excision and MOHs
Nurses -
Excision
Monday morning 5 2 1 2 2
Monday afternoon 5 2 1 2 2
Tuesday morning 5 4 1 3 3
Tuesday afternoon 2 4 1 3 3
Wednesday morning 5 0 2 1 1
Wednesday afternoon 5 0 2 1 1
Thursday morning 3 1 2 2 2
Thursday afternoon 4 1 2 2 2
Friday morning 8 0 2 1 1
Friday afternoon 6 2 2 2 1
37
In order to improve the resources allocation, a mathematical model was constructed to
translate this planning problem. This problem is formulated using integer linear programming
and solved using a heuristic method proposed by OpQuest, which is capable of finding optimal
or near optimal solutions to complex problems involving elements of uncertainty. This method
evaluates the responses from the current simulation run and compares it with previous runs, to
define a new set of values for the control variables which are evaluated by running the model
built in Arena. The heuristic technique used by OpQuest has proven to be very efficient finding
optimal or near optimal solutions.
The objective function defined in the model is to minimize the average throughput time
for BCC patients treated with Excision. The decision variables are the amount of doctors and
specialists, allocated every day for consultation and for treatment (Excision and MOHs); and
nurses available for treatment: PDT or Excision every day at the clinic. All the variables were
defined as integers.
The constraints defined are:
o Amount of doctors available <= 8 per day
o Amount of appointment blocks for consult-meeting available >= 48 per week
o Amount of appointment blocks for consult-meeting available <= 64 per week
o Amount of specialists available <= 7 per day:
o Amount of appointment blocks to supervise consult-meeting available <= 36 per week
o Amount of nurses (expressed in working blocks) available per week <= 18
The optimization was performed running 500 simulations, each replicated 3 times. This
optimization is applied to every combination of the admission rule and appointment slots held
open, to guarantee an optimization for each individual setting. Therefore, four different
combinations were optimized: (1) actual admission rule without open appointment slots; (2)
actual admission rule with open appointment slots in the amount described before per treatment
type; (3) proposed admission rule without open appointment slots; and (4) proposed admission
rule with open appointment slots. Using the factors analyzed in this section, it is possible to
propose some alternative scenarios that could guide to a successful implementation of the
redesigned ODT process.
5.3 Definition of scenarios
In this section some scenarios will be proposed using a combination of the factors previously
described: (1) admission rule, (2) appointment slots held open for PDT; and (2) the allocation of
resources shared for Excision and MOHs, actual or optimal. A scheme to define how those
factors were combined to develop scenarios is shown in Figure 6.
Figure 6- Scenarios scheme, derived from the combination of three factors
Each scenario is defined to
the different combination of factors. A
advantages or disadvantages of each scenario is described
5.3.1 Scenario # 1
This scenario represents
advance, without appointment slots open for ODT
for patients arriving to the consult meeting, and
offered by this scenario is that it tries to maximize the use of resources with the drawback that is
not considering the impact for patients. All patients are expected to stay in a waiting list for
several weeks before treatment.
5.3.2 Scenario #2
The difference between this scenario and the previous one is that it uses an optimal
allocation of resources for Excision and MOHs
evaluation of how the throughput time for patients referred for Excision
reallocating available resources. The advantage expected from this scenario is an improvement in
the throughput time of new patients treated by Excision. However,
any alternative of improvements for PDT patients.
5.3.3 Scenario #3 This scenario evaluated how the actual admission rule and resource allocation could be
improved including the option for new patients diagnosed during the morning to be tre
the same day. Two appointment slots are held open every day for patients referred for PDT
following the redesigned ODT
For patients treated by Excision, 3 appointment slots are open
advantage of this scenario is
38
Scenarios scheme, derived from the combination of three factors
is defined to provide some insights into the impact in the performance of
the different combination of factors. A brief description and explanation about the expected
advantages or disadvantages of each scenario is described below.
scenario represents the current situation, in which all the patients are scheduled in
advance, without appointment slots open for ODT-patients. It considers the actual admission rule
for patients arriving to the consult meeting, and current resources’ allocation.
offered by this scenario is that it tries to maximize the use of resources with the drawback that is
not considering the impact for patients. All patients are expected to stay in a waiting list for
several weeks before treatment.
The difference between this scenario and the previous one is that it uses an optimal
allocation of resources for Excision and MOHs (See Table 24 in Appendix
the throughput time for patients referred for Excision
resources. The advantage expected from this scenario is an improvement in
the throughput time of new patients treated by Excision. However, this sce
any alternative of improvements for PDT patients.
evaluated how the actual admission rule and resource allocation could be
improved including the option for new patients diagnosed during the morning to be tre
. Two appointment slots are held open every day for patients referred for PDT
redesigned ODT process, and 6 appointment slots available for scheduled patients.
For patients treated by Excision, 3 appointment slots are open every day.
advantage of this scenario is the flexibility that it incorporates to the process, allowing some
the impact in the performance of
explanation about the expected
situation, in which all the patients are scheduled in
patients. It considers the actual admission rule
allocation. The advantage
offered by this scenario is that it tries to maximize the use of resources with the drawback that is
not considering the impact for patients. All patients are expected to stay in a waiting list for
The difference between this scenario and the previous one is that it uses an optimal
Appendix I). It allows for the
could be improved by
resources. The advantage expected from this scenario is an improvement in
this scenario does not offer
evaluated how the actual admission rule and resource allocation could be
improved including the option for new patients diagnosed during the morning to be treated on
. Two appointment slots are held open every day for patients referred for PDT
process, and 6 appointment slots available for scheduled patients.
every day. The expected
incorporates to the process, allowing some
39
patients to be treated during one day. The consequence is an expected reduction in the average
throughput time for new patients. The disadvantage is that the utilization of the nurse for PDT
will change based on the variability in the arrivals.
5.3.4 Scenario #4 This scenario is similar to the scenario 3, but with a reallocation of resources required for
the Excision and MOHs. The advantage offered by this scenario is the alignment of the demand
and the supply of resources, considering the new requirements imposed by the arrival of patients
every day for treatment. The disadvantage is that it does not offer any chances of improvement
for ODT-patients treated by PDT.
5.3.5 Scenario #5: This scenario evaluates the behavior of the current situation (resources allocation and all
appointments scheduled), assuming a different admission rule. This scenario brings insights into
the isolated effect of the new admission rule, comparing its results with scenario 1. Also, the
isolated effect of the appointment slots open compared to scenario 7.
5.3.6 Scenario #6: This scenario is similar to scenario 5, but considers a resource reallocation to reduce the
throughput time for patients treated by Excision. This scenario provides insights into the isolated
effect of the resources allocation compared to scenario 5.
5.3.7 Scenario #7: This scenario proposes a reduction in the average throughput time for new patients
following the redesigned ODT process, both treated by PDT and Excision. It evaluates how an
increase in the demand from new patients for the redesigned ODT process could be handled with
the current allocation of resources. This scenario could reduce the average throughput time for
new patients treated by PDT and Excision. The disadvantage is that the current allocation of
resources does not necessarily provide support for the unscheduled demand.
5.3.8 Scenario #8: This scenario is similar to scenario 7, but with an optimal reallocation of the resources
available for Excision and MOHs. This scenario is very promising because it includes all new
patients and provides a better alignment between the new daily demand of resources and their
current availability.
5.4 Concluding from scenarios
Three different factors were identified as important for the implementation of the
redesigned ODT process in the clinic: (1) the admission rule, (2) the percentage of open
appointment slots available for PDT and Excision, and (3) the allocation of resources for
Excision. The admission rule includes several decisions, such as: the number of patients admitted
for a specialty each day, the priority between patients, the placement of appointment slots per
patient type and the duration of each appointment slot. Two different alternatives are evaluated
in this chapter. The first alternative is the current admission rule, which only allows half of the
new patients to decide whether they want to be treated on the same day of their diagnosis. This
option assigns 5 new patients per doctor for consult meeting during the morning and 10 control
40
patients. Appointment slots for each patient type are allocated to balance the workload of doctors
and specialists. However, the second option is called the proposed admission rule in which all
the appointment slots for new patients are assigned during the morning. This appointment rule
allocates 10 new patients and 5 for control patients per doctor during the morning, and the other
appointment slots for control patients are assigned during the afternoon. This option assigns a
higher priority to new patients increasing their probability to be treated on the same day.
The second factor is the percentage of open appointment slots available for PDT and
Excision. This percentage varied based on the demand, and it was estimated for the current
admission equal to 2 for PDT and 3 for Excision. The amount of appointment slots held open
with the proposed admission rule which duplicates the demand from new patients is estimated as
4 appointment slots for PDT and 5 for Excision.
The last factor evaluated was the resource allocation. This factor provides a better
alignment between the daily demand and supply from a different patient’s group, like the ODT-
patients for Excision. An integer linear model was developed to reduce the throughput time of
patients treated by Excision, by changing the allocation of resources throughout the week. The
resources included in this optimization were: the amount of doctors for consult-meetings every
day, doctors for treatment, specialists to supervise consult-meetings, specialists for treatment and
nurses for Excision.
Those factors were combined in two different levels each to define eight different scenarios
summarized in Figure 6. Every scenario provides a different insight into the impact of those
factors in the performance which are evaluated showing the results in the next chapter.
41
6 EXPERIMENTAL RESULTS 6.1 Introduction
This section presents the results gathered after running 50 replicates of each scenario
described previously. The performance measure of interest is the average throughput time for
patients diagnosed with BCC treated by Excision and PDT, and the amount of patients treated
following the redesigned ODT process. The results are compared among scenarios to identify the
most significant factors from the three evaluated, and their best combination.
The comparison among scenarios is performed using a paired t-test. The paired t-test
calculates the difference between each pair of scenarios. A null hypothesis is tested to identify if
this difference is significant or not. The second part of this chapter includes an analysis of the
results.
6.2 Results
6.2.1 Throughput time for patients treated by Excision The throughput time for new patients diagnosed with BCC and referred for Excision
differs among scenarios as shown in Figure 7 (values in the figure are expressed in hours). The
average throughput time for new patients, expressed in days are: 35.4, 38.3, 6.9, 3.6, 36.5, 36.8,
4.5 and 0.7 for scenarios from 1 to 8 respectively. From these results, it is very simple to identify
a difference between scenarios 1 and 4. However, it is not the case when comparing 35.4 and
38.3 days gathered from scenarios 1 and 2.
Figure 7- Confidence interval for the throughput time for new patients treated with Excision
42
A paired t-test for the means is performed to identify if the difference identified is a
significant difference between means for each pair of scenarios. Results show that the difference
between all the pair of means resulted from the evaluation of the different scenarios is
statistically significant at a 95% level of confidence, except for scenarios 4 and 7 and scenarios 7
and 8. It is also observed that scenarios 1, 2, 5 and 6 have the worst performance, while scenario
8 is significantly better, in terms of the average throughput time. A reduction of a 90% can be
achieved when comparing the current situation (scenario 1) with the best performance presented
by scenario 8.
Another statistics collected were the average throughput time for control patients treated
with Excision. The average throughput time for control patients in days is 34.6, 38.7, 15.0, 17.2,
36.3, 36.7, 14.6 and 15.0 corresponding to the scenarios 1 until 8 respectively. It is derived from
these values and from Figure 8, that the scenarios in which some appointment slots are held open
to treat new patients following the redesigned ODT process even exerted a positive influence on
the average throughput time for control patients. For the other scenarios, the effect on the
throughput time for control patients do not change significantly from the actual situation.
Figure 8- Throughput time for new and control patients treated with Excision
The achieved reduction in time is approximately 58%, which translates to almost two
weeks. This pattern is consistent not only assuming the actual admission rule, but also for the
proposed one in which all new patients can decide whether been treated on the same day or not.
The second option is evaluated with scenarios 7 and 8. The number of new patients that could be
treated during one day increases with the proposed admission rule from 118 and 120 patients in
scenarios 3 and 4, to 242 and 247 for scenarios 7 and 8 respectively. Another statistic of interest
is that 99.90% of the Excisions planned for ODT-patients during the simulation were performed
on the same day, without the need to reschedule patients for the next day available. Only in
scenario 4, on average of 18 minutes of overtime were needed for three ODT-patients during the
simulation.
1 2 3 4 5 6 7 8
New patients 849.0 920.0 141.0 86.6 875.0 882.0 108.0 17.9
Control patients 831.0 928.0 359.0 412.0 871.0 880.0 350.0 359.0
0.0
100.0
200.0
300.0
400.0
500.0
600.0
700.0
800.0
900.0
1000.0
hours
43
Also, the average throughput time for patients treated with MOHs was assessed,
considering that they share the resources with patients treated by Excision. Their performance is
not significantly affected, with a maximum increase of 2% of their current time, which is
approximately 1.5 days. To conclude, the scenario 8 over-performed compared to the others, not
only in terms of the average throughput time for new patients, but also providing improvements
for control patients up to 58% from the actual situation.
6.2.2 Throughput time for patients treated by PDT The throughput time for new patients treated with PDT also differs among scenarios as
shown in Figure 9. The average throughput times for new patients in days are the following: 14.7,
14.5, 2.1, 3.2, 14.8, 14.7, 1.53 and 1.5 for scenarios from 1 to 8 respectively. Similar to the
analysis performed for excision, a paired t-test for means is conducted. The results failed to
reject the hypothesis that there is a significant difference between means corresponding to
scenarios 1, 2, 5 and 6, providing the worst performance in terms of the average throughput time
for new patients treated with PDT. The best performance is provided by scenarios 7 and 8,
similar to the results gathered for patients treated with Excision. The improvement achieved
comparing the best and worst scenarios, is a reduction of 89.83% in the throughput time for new
patients treated with PDT.
It was incorporated in all the scenarios the decision that ODT-patients who already have
an appointment slot assigned for treatment but could not be treated on the same day, should be
scheduled for the next open slot available. However, if a treatment is initiated it has to be
finished on the same day, even though it represents to work overtime. The situation to work
overtime is not desirable. Therefore, the number of patients treated during overtime was
measured in the simulation, and the average overtime needed. Results have shown that with the
actual situation, all the patients could be treated during the regular working time. Conversely,
when ODT-patients are included in the analysis, approximately 5% of them (for scenario 4 and
5) and 11% (for scenario 7 and 8) required on average 46.5 minutes of overtime to complete their
treatment.
Figure 9- Confidence interval for the throughput time for new patients treated with PDT
44
The average throughput time for control patients treated with PDT is not significantly
different among scenarios, varying between 14.6 and 15.1 days approximately, except for
Scenarios 7 and 8, with an average throughput time of 25 days (See Figure 10). The number of
new patients that could be treated during one day increases from 144 and 137 patients in
scenarios 3 and 4, until 281 and 276 patients in scenarios 7 and 8 respectively. This represents
approximately an increment of 98%.
Figure 10- Throughput time for new and control patients treated with PDT
Another characteristic observed in the results provided by the scenarios 7 and 8 in Figure 9,
is a significant difference between the minimum and maximum values gathered from the
simulations. It could be explained because new patients that cannot find an open appointment
slot available to follow the redesigned ODT process are scheduled for a regular appointment. As
observed in Figure 10, the throughput time for patients following a regular appointment is
approximately 30 days for scenarios 7 and 8.
Even though some new patients become regular patients, these scenarios still provides the
best performance in terms of the average throughput time for new patients. The explanation is
that only few new patients are required to follow the regular process to be treated by PDT.
Finally, the next section presents an analysis of the factors influencing the results gathered from
the simulations and described in this section.
6.3 Analysis The results gathered in terms of average throughput time and numbers of patients treated
by the redesigned ODT process, from the simulation of the different scenarios proposed were
presented in the previous section. This section aims to translate those results in practical
recommendations, comparing the performance of the different scenarios described in this study.
Secondly, to propose the best combination of factors that should be implemented in the clinic.
1 2 3 4 5 6 7 8
New patients 353.0 349.0 51.4 76.0 356.0 352.0 36.6 35.9
Control patients 349.4 349.9 359.2 361.8 362.0 362.6 574.5 620.5
0.0
100.0
200.0
300.0
400.0
500.0
600.0
700.0
Hours
45
6.3.1 Comparative analysis of scenarios for Excision From the statistics gathered in the previous section it is possible to identify that the
percentage of appointment slots held open for ODT-patients is the most influential factor in
terms of the average throughput time for new patients. When a percentage of appointment slots
are held open for new patients, the statistics showed a reduction in this performance measure up
to 90.58% with the actual admission rule and 97.8% for the new admission rule. The
improvements achieved indicate that it is always advantageous to hold appointment slots open.
However, the maximum amount of appointment slots proposed to be held open for ODT-patients
treated with Excision is 3 for the actual admission rule and 5 for the proposed one, which should
be defined considering the amount of resources available and their current demand as done in
Chapter 3. The option to hold appointment slots open for ODT-patients also reduces the average
throughput time for control patients almost two weeks. Therefore, it has been consistently the
best alternative to be implemented in the clinic.
The second factor in terms of its impact in the performance is the admission rule, which
directly affects the demand. With the actual admission rule only approximately half of the
patients could be able to decide whether to be treated on the same day of their diagnosis or not.
With the proposed admission rule, all new patients could have this option. Based on the results, it
is always advantageous to select the alternative to offer the treatment on the same day of
diagnosis to all new patients instead of only one group, which could also create conflicts to the
clinic when defining the priorities between patients. With a simple relocation of the appointment
slots for new patients during the morning, the number of ODT-patients is duplicated and the
average throughput time for new patients is not affected. The average throughput time for control
patients is not significantly different between both alternatives. Additionally, results have shown
that no overtime is needed to cope with the demand.
The resources allocation is the third factor influencing the performance. The influence
exerted by this factor changes based on its interaction with the other factors. For instance, when
no appointment slots are held open, the improvements provided by a resource allocation was less
than 1%, indicating that with the current system, changes in the resources allocation will not
improve the average throughput time for new patients. Nevertheless, when appointment slots are
held open, with the actual admission rule, the improvement reached was up to 38.6%, while with
the proposed admission rule this percentage increases up to 83.4%. This result confirms the
theory behind the definition of these factors, considering that combined, they should improve the
alignment between demand and supply of resources. This factor does not impact the performance
for control patients.
Finally, the scenario that offers the best performance in terms of the average throughput
time for new patients, the number of ODT-patients treated and the average throughput time for
control patients is scenarios 8. It proposes a combination of: (1) the proposed admission rule in
which all new patients can decide to be treated on the same day of their diagnosis; (2) a patient’s
mix, combining regular patients and ODT-patients by holding the maximum amount of
appointment slots open as possible, estimated as five, based on the resources available; and (3)
the optimal allocation of resources presented in Table 27.
46
6.3.2 Comparative analysis of scenarios for PDT The percentage of appointment slots held open for ODT-patients is the most significant
factor in terms of the average throughput time for new patients treated with PDT. However, the
level of improvement is up to 85.4 % for the actual admission rule and 89.8% for the proposed
one. It can be observed that when more new patients are treated during one day (ODT-patients),
an increase in the amount of open appointment slots held open improves the average throughput
time for new patients. However, this is not the case for control patients. For the actual admission
rule, control patients are not significantly affected by changes in the amount of appointment slots
held open when there are up to 2. But for the proposed admission rule, the average throughput
time for control patient increases approximately 10 days. This interaction between the admission
rule and the percentage of appointment slots held open emphasizes the importance to align both
decisions to avoid affecting other patient groups.
The resources allocation has not exerted any significant influence in the average
throughput time for new or control patients. This result was expected, considering that the
optimization only includes the resources necessary for Excision and MOHS, which are
independent to the resources available for PDT. To conclude, the scenarios that offered the best
performance in terms of the average throughput time for new patients are scenario 7 and 8.
However, there is a trade-off that should be evaluated which is the negative effect in the
throughput time for control patients. If the clinic considers that the average throughput time for
control patients should not be exceeded with the changes proposed, then the best alternatives for
the clinic are scenarios 3 and 4. In this case, the alternative to be treated through the redesigned
ODT-process would be offered only to half of the new patients, and a policy should be defined
for their selection.
6.3.3 Sensitivity analysis This section intends to analyze how changes in some decisions made to build the
simulation model and assumptions considered, could influence the results of this study. For
instance, in the model development it was shown that changes in the distribution assumed to
define the demand could influence the results (See Appendix F). If the variability in the actual
demand is greater than the variability assumed in this study, the clinic could receive some days
more ODT-patients than expected which should not be a big issue if the policy to assign this
patient to the next day in the first open appointment slot available is considered. Another solution
to this situation is to work overtime during those days. However, when the patient arrivals for
treatment are less than expected, it is possible to observe an underutilization of the resources for
treatment.
A critical activity for the success of the implementation of the redesigned ODT process is
the medical tests performed by the Pathology department to corroborate the doctor’s diagnosis.
The duration of this activity is assumed to be less than 2 hours. A change in the duration of this
activity directly influence the throughput time of patients, reducing the probability of treatment o
the same day.
47
6.4 Concluding from experiments
This chapter presents the results gathered after running 50 replications for each scenario
simulated. The results were presented, including the average throughput time for new and control
patients and the amount of new patients treated by the redesigned ODT process. The results
showed that the most significant factor for both Excision and PDT patients is the percentage of
appointment slots held open. The advantages of holding appointment slots for ODT-patients
improve the average throughput time for new patients up to 90% for Excision and 89.8% for
PDT. This alternative also improves the performance for control patients, reducing their average
throughput time by approximately one week.
The second most influential factor is the admission rule. The proposed setting in which all
the new patients have their consultation meeting in the morning, is directly related to an increase
of ODT-patients. For patients referred for Excision, the proposed alternative duplicates the
number of ODT-patients maintaining the same level of improvements provided by the other
factors in the average throughput time for new patients. However, for PDT patients, when the
number of appointment slots held open increases to 58%, the performance for new patients is
significantly affected increasing the average throughput time for control patients almost 10 days.
Finally, the alternative setting proposed for the allocation of resources for each
combination of factors, influence the performance based on its interaction with the other factors.
When no appointment slots are held open, the improvements provided by a resource allocation
was less than 1%, indicating that with the current system, changes in the resources allocation will
not improve the average throughput time for new patients. Nevertheless, when appointment slots
are held open, with the actual admission rule, the improvement reached was up to 38.6%, while
with the proposed admission rule this percentage increases up to 83.4%. This result confirms the
theory behind the definition of these factors, considering that combined, they should improve the
alignment between demand and supply of resources. This factor does not impact the performance
for control patients. Next section will summarize the main findings and contribution of this
research.
48
7 CONCLUSIONS AND RECOMMENDATIONS The aim of this research has been to analyze the dermatology oncology outpatient clinic at
the Catharina hospital from a logistic perspective to determine the feasibility of implementing
the redesigned ODT process. This redesign offers the option to new patients diagnosed with
BCC and referred for Excision or PDT to complete their diagnosis and treatment during the same
day. This final chapter includes answers for the research questions stated for this study and also
some recommendations for future research.
7.1 Conclusions
This study proposed a simulation model to evaluate the effect of changes in alternative
scenarios to answer the research question as described below:
• Research question #1: What changes should be made in the dermatology oncology
outpatient clinic to treat the new patients diagnosed with BCC on the same day of the
diagnosis? What conditions should be fulfilled?
In order to implement the redesigned ODT process, the clinic should align their planning
for treatment with the admission of patients for consult meeting. This alignment is necessary,
considering that new patients who are arriving every day for consultation could decide whether
they receive their treatment on the same day of the diagnosis or not, and the clinic should have
the resources available to fulfill that demand.
Another condition that should be fulfilled is the availability of the results from the
pathology department within the same day to complete the process. This could be considered as
the most critical factor to implement the redesigned ODT process with the drawback that it is an
external resource and out of the scope of this study. This suggests the need to discuss the
redesign with the chief of this external party, stressing the advantages of this implementation for
the patients.
• Research question #2: How could the conditions required to implement the redesigned
ODT process be fulfilled?
To fulfill the condition of an alignment between the demand and supply, the results
showed that one significant factor is the percentage of open appointment slots held open to treat
ODT-patients. This percentage is estimated identifying the expected demand of services from
ODT-patients and the average percentage of slots held open for treatment, both for Excision and
PDT. This percentage changes with changes in the demand, considering that the resources
available remain the same. For the current demand, 27.5% of the slots should be held open,
which can be translated to 2 appointment slots for PDT and 3 for Excision every day.
To extend the option to choose for treatment on the same day of diagnosis, another factor
that should be considered is the admission rule. The actual admission rule is that every doctor
receives a maximum of five new patients for consultation during one block (half a day: morning
or afternoon). However, this rule only aims to balance the workload between doctors but is not
patient-centered. The proposed rule includes all the appointment slots for new patients during the
49
morning. This aims to extend the option to choose the redesigned ODT process to all new
patients, under the actual assumption that the sample biopsy should be available before
11:30 AM for the evaluation at the pathology department and further answer in less than two
hours.
• Research question #3: What are the quantitative advantages or disadvantages gained
from the implementation of the redesigned ODT process?
The advantages of implementing the redesigned ODT process can be measured in terms
of the time performance. The average throughput time for new patients could be reduced to 90%
for Excision and 95% for PDT, compared to the current situation. This redesign also adds
flexibility to the process, which allows patients to decide whether they want to be treated on the
same day or follow the regular process. To implement the redesigned ODT process is mandatory
to receive the results from pathology in less than two hours, which nowadays takes
approximately two weeks. This improvement could increase the cost of this service for the clinic.
• Research question #4: What is the effect of the implementation of the redesigned ODT
process on the throughput time for other patient groups (SCC, melanoma, others),
considering that the doctor, nurses and operating rooms are shared by all BCC-patients?
The effect of implementing the redesigned ODT process for new patients also reduces the
average throughput time for control patients treated with Excision by approximately two weeks.
The effect for control patients treated with PDT is not affected by the actual admission rule in
which only 27.5 % of the appointment slots are held open for ODT-patients, but it is significantly
affected when this percentage is increased to 50%. The analysis is performed independently for
patients treated by Excision and PDT because their resources are independent. The only
resources shared are those between Excision and MOHs. The average throughput time for
patients treated with MOHs does not show a significant difference between the current situation
and the proposed scenario, measured in approximately 1.5 days. This difference is not significant
considering that the current throughput time is greater than two months.
7.2 Limitations and further research
The results provided in this study are limited to the dermatology oncology outpatient clinic
at the Catharina hospital. The conclusions included are based on the analysis performed using a
simulation model which is a simplification of the real situation. One limitation of this study is the
exclusion of the variability in the demand pattern throughout different months of the year.
Historical data is available about the amount of patients scheduled for treatment per month, but it
does not reflect the current demand which also, includes the amount of patients looking for
treatment on a daily basis. A more accurate insight into the behavior of the demand and seasonal
changes could help the clinic to improve their planning of resources.
Another limitation is that all the results are based on the availability of results from
pathology in less than two hours. This factor is critical for the implementation of the redesigned
ODT process. However, the flexibility expected from the pathology department could increase
the actual cost for this service. In this case, it is important to consider the alternative to evaluate
50
the accuracy of the diagnosis performed by the specialists compared to their results. Also,
perhaps agree in the future to only use a sample of the total amount of patients to check the
reliability of the results but to gain some flexibility which is favorable for the success of the
redesigned ODT process implementation.
51
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53
LIST OF ABBREVIATIONS
• BCC : Basal cell carcinoma
• MOHs : Micrographic surgery
• ODT : One-day-treatment redesigned process including diagnosis and treatment
• ODT-patient: a patient treated following the redesigned ODT process.
• PDT : Photodynamic therapy
• SCC : Squamous cell carcinoma
APPENDICES
Appendix A - Organizational Chart
54
Chart of Catharina Hospital
55
Appendix B- Master Scheduling for doctors and Specialists
A mater schedule is used to assign doctors and specialists to the different activities during
the week. The activities included the following: consultation and treatment (MOHs and
Excision). There are eight doctors available nowadays in the clinic and 7 specialists. The
schedule divide the week in 14 different blocks assuming two blocks per day (morning and
afternoon). The outpatient clinic operates from Monday until Friday. The weekly assignment of
doctors for consultation is shown in Table 13. If the cell has a value of 1, then the doctor
specified in the column is available for consultation during this day. The maximum amount of
appointment slots available to consult new patients is equal to 5 per doctor per block. And the
maximum available for control patients is equal to 12 per doctor per block.
Table 13- Weekly schedule of doctors for consultation
The weekly assignment of specialists for consultation is shown in Table 14. Similar to the
previous table, if the cell has a value of 1, then the specialist specified in the column is available
to supervise the doctors in consultation during this day. The amount of specialist per day
assigned for supervision varies between one and two based on the demand.
Table 14- Weekly schedule of specialists for consultation
SPR SPR SPR SPR SPR SPR SPR SPR
Consult_Doctors Doctor1 Doctor2 Doctor3 Doctor4 Doctor5 Doctor6 Doctor7 Doctor8
Sunday morning 1 0 0 0 0 0 0 0 0
Sunday afternoon 2 0 0 0 0 0 0 0 0
Monday morning 3 1 1 0 1 1 1 0 0
Monday afternoon 4 1 1 1 1 1 0 0 0
Tuesday morning 5 1 0 0 1 0 1 1 1
Tuesday afternoon 6 0 0 0 0 0 0 1 1
Wednesday morning 7 1 0 1 1 1 1 0 0
Wednesday afternoon 8 1 0 1 1 1 1 0 0
Thursday morning 9 0 0 1 1 0 1 0 0
Thursday afternoon 10 1 0 1 1 0 1 0 0
Friday morning 11 1 1 1 1 1 1 1 1
Friday morning 12 1 0 1 1 1 0 1 1
Saturday morning 13 0 0 0 0 0 0 0 0
Saturday afternoon 14 0 0 0 0 0 0 0 0
ONCO ONCO DT ONCO DT DT DT
Consult_SupervisorsSpec1 Spec2 Spec3 Spec4 Spec5 Spec6 Spec7
Sunday morning 1 0 0 0 0 0 0 0
Sunday afternoon 2 0 0 0 0 0 0 0
Monday morning 3 1 0 0 0 0 0 0
Monday afternoon 4 1 0 0 0 0 0 0
Tuesday morning 5 1 0 0 0 0 0 0
Tuesday afternoon 6 1 0 0 0 0 0 0
Wednesday morning 7 0 0 1 0 0 1 0
Wednesday afternoon 8 0 0 1 0 0 1 0
Thursday morning 9 0 0 0 0 1 1 0
Thursday afternoon 10 0 0 0 0 1 1 0
Friday morning 11 0 0 1 0 0 0 1
Friday morning 12 0 0 0 1 0 0 1
Saturday morning 13 0 0 0 0 0 0 0
Saturday afternoon 14 0 0 0 0 0 0 0
56
The assignment of treatment type to be perfumed in one of the available operating rooms
is shown in Table 15. The nomenclature used is: 1 for the MOHs and 2 for Excision.
Table 15 - Weekly schedule for MOHs and Excision
The weekly assignment of doctors for treatment is shown in Table 16. The value in the
cell indicates the number that identifies the doctor assigned for treatment during this day. The
assignment of specialists for treatment is included in Table 17.
Table 16- Weekly schedule of doctors for treatment
Internal Internal External External External
OpRoom_Procedure OK OK KCI KCI KCI
(Set_ID) 1 2 3 4 5 Scale
Sunday morning 1 0 0 0 0 0 1 1 = Mohs
Sunday afternoon 2 0 0 0 0 0 2 2 = Excision
Monday morning 3 1 1 0 0 0
Monday afternoon 4 1 1 0 0 0
Tuesday morning 5 1 1 2 2 2
Tuesday afternoon 6 1 1 2 2 2
Wednesday morning 7 0 0 0 0 0
Wednesday afternoon 8 0 0 0 0 0
Thursday morning 9 0 1 0 0 0
Thursday afternoon 10 0 1 0 0 0
Friday morning 11 0 0 0 0 0
Friday afternoon 12 0 0 2 2 0
Saturday morning 13 0 0 0 0 0
Saturday afternoon 14 0 0 0 0 0
Internal Internal External External External
OpRoom_Doctor OK OK KCI KCI KCI
(Set_ID) 1 2 3 4 5
Sunday morning 1 0 0 0 0 0
Sunday afternoon 2 0 0 0 0 0
Monday morning 3 7 8 0 0 0
Monday afternoon 4 7 8 0 0 0
Tuesday morning 5 5 5 2 8 3
Tuesday afternoon 6 5 5 3 6 8
Wednesday morning 7 0 0 0 0 0
Wednesday afternoon 8 0 0 0 0 0
Thursday morning 9 0 5 0 0 0
Thursday afternoon 10 0 5 0 0 0
Friday morning 11 0 0 0 0 0
Friday afternoon 12 0 0 4 6 0
Saturday morning 13 0 0 0 0 0
Saturday afternoon 14 0 0 0 0 0
57
Table 17- Weekly schedule of specialists for treatment
Internal Internal External External External
OpRoom_Specialist OK OK KCI KCI KCI
(Set_ID) 1 2 3 4 5
Sunday morning 1 0 0 0 0 0
Sunday afternoon 2 0 0 0 0 0
Monday morning 3 10 9 0 0 0
Monday afternoon 4 10 9 0 0 0
Tuesday morning 5 10 12 13 13 13
Tuesday afternoon 6 10 12 13 13 13
Wednesday morning 7 14 0 0 0 0
Wednesday afternoon 8 14 0 0 0 0
Thursday morning 9 14 10 0 0 0
Thursday afternoon 10 14 10 0 0 0
Friday morning 11 14 0 0 0 0
Friday afternoon 12 14 0 12 12 0
Saturday morning 13 0 0 0 0 0
Saturday afternoon 14 0 0 0 0 0
Appendix C- Elaboration of the simulation model in Arena
The simulation model described in this project was built using a simulation tool Arena 7
from Rockwell Software. In order to use the model is necessary to install a professional license
of this software and initialize some parameters that will allow the interface between Arena, Excel
and Visual Basic for Applications (VBA).
• First, redefine the array setting used on your computer to avoid errors while running the
model. Go to the main menu Run > Setup > Array Sizes, and set ICXM =3000,
RVEC =90000, IVEC=90000 and RSET = 90000. The new array sizes settings will be
saved with the model file.
• And select another application’s objects that should be available to run the Visual Basic
Editor. Therefore, it is necessary to select in the main menu: Tools > Macro > Show
Visual Basic Editor. Once in the main window, go to Tools > References and select form
the References list the following libraries:
o Visual Basic for Applications
o Arena 12.0 Type Library
o OLE Automation
o Microsoft Excel 11.0 Object Library
The last step is necessary to allow the interaction between the VBA’s code with the
variables used in Arena and the application in Excel. Some of the variables are used as inputs to
plan the appointment for patients, modified and returned to be used in Arena. Some other
variables used to schedule the appointments are taken from a file in Excel and even printed back.
This application is important for the process verification
- Arena flow logic:
The model presented in Figure 11 captures the actual process followed by patients in the
dermatology oncology outpatient clinic. First, new patients contact the clinic referred by their
family doctor, another specialist or self-referring requesting an appointment. The appointment
request will be described in detail in the next subsection called visual basic application. At the
end of this sub process, the patient will receive an appointment date, time and a specific doctor
assigned. The model uses the attributes Appointment_date, appointment_time and
Doctor_assigned, to identify the specific values assigned for each patient. The list of variables
and attributes used in the model with a brief description is included in Table 18 and
Table 19.
Moreover, the patient needs to wait until the day of the appointment to go to the clinic
and register with the secretary at the front desk. The doctor calls patients based on their position
in the appointment list, represented in the model by an attribute called position. The consultation
meeting is divided in three different parts: (1) consult meeting init, in this part the doctor receives
the patient and makes an evaluation, then the doctor already has a first idea of the diagnosis
which will be confirmed by the specialists supervising this day; (2) consult meeting sup, the
doctor informs one specialist about the diagnosis and this specialist check the patient and provide
feedback to the doctor about the specific diagnosis.; and consult meeting end, finally the doctor
59
inform the diagnosis to the patient and explain the further steps. The consultation meeting was
divided in three parts considering the fact that the specialists are shared resource required by all
the doctors treating new patients and sometimes even for consults about the diagnosis of a
control patient, those occurrences are estimated to be true for 25% of the control patients in the
model. A specialist is required only during the consult meeting sup activity while the doctor
spend the complete consultation time with the patient.
Figure 11-Arena flow chart for patients diagnosed with BCC at the oncology clinic
Another reason to split this activity is to identify the average time that doctors spend waiting
for a specialist, considering that it is not a value added time for the activity but influence the total
time of the consultation and the waiting time for the others patients in queue. When the
consultation meeting finish, an estimated 40% of the patients are diagnosed cancer free. In the
model those patients are counted using a record block called Counter cancer free and the other
60% is referred for further analysis. The secretary informs the patient about the details of the
further tests:
1. Take photo. First, the patient needs to go to take a photo of the area indicated by the doctor during the consultation. The photo is taken in the Catharina Hospital in another
area which is not very busy but far from the dermatology area, requiring on average 20
minutes for a patient to go, take the photo and return to the dermatology area. This
activity is simulated as a delay, considering that the resources involved are external of the
60
dermatology area. The secretary registers when the patient has returned from the photo
and put the file on queue for the next step which is the biopsy.
2. Biopsy. The biopsy consists on taking a sample from the tumor for a further pathological
analysis. A nurse is responsible to take the sample and transport it to the lab. The duration
of this activity is on average 8 minutes. In some especial cases the nurse asks for support
from the doctor, but their incidence was considered negligible to be represented in this
model.
Samples are transported by the nurses during the day without any specific rule, sometimes in
batches of two, three or even one sample at a time. For the current situation is not significant to
define a specific order to send the samples to the lab considering that the lab will evaluate those
samples and provide the results two weeks after they receive them. The analysis performed by
pathology is simulated as a delay, because the resources involved are external. Nevertheless this
activity has a significant impact in our analysis because its output is used to confirm every
diagnosis at the clinic and nowadays has a delay of two weeks on average for the clinic to
receive those results.
The results from pathology are received at the secretary counter. The secretary in charge of
planning the appointments for the doctors, take the results and ask for the patients’ file digitally
in a database used in the hospital for the general archive called “Jim”. Those files are transported
by external personnel from the general archive to all the different areas in the hospital during the
day. When the secretary receives all the files, they organize them in groups per appointment day
per doctor. The aim of this activity is to guarantee that the doctor will have all the information of
each patient at hand, to inform the final diagnosis and treatment to the patient. This information
is provided by calling the patient and is planned as a TEL appointment with an estimated time of
five minutes per patient.
The result from pathology aims to verify the doctor’s diagnosis, indicating if the patient has a
Basal cell carcinoma (BCC) or another type of tumor. In the model all the patients diagnosed
with a different type of tumor than the BCC or cancer free were considered out of the scope of
this analysis. However, for the BCC patients there are four different options of treatment
depending on the location and characteristics of the tumor, as described at the introduction
section. An attribute called DiagnoseType is used to classify the patients in 1 = non BCC
patients, 2 = BCC with self-treatment, 3 = BCC with PDT, 4= BCC with MOHs and 5=BCC
with Excision. The patient is informed by the doctor about the following treatment, but the
specific appointment to receive the treatment is not planned yet. The doctor brings the files to the
secretaries at the end of the day and they need to call the patient back and schedule an
appointment for the next time available. Figure 12 shows the submodel that simulates the
different paths. The secretary is responsible for the planning of new patients referred for the PDT
or Excision. Patients requiring the MOHs procedure are informed through letter and their
appointments are planned by an assistant.
61
Figure 12-Submodel for making an appointment for BCC patient’s treatment
This study is mainly focus on the Excision, which is only one of the four different types of
treatments offered by the clinic. But it is also necessary to include the others in the model to
analyze the collateral effect of changes in the model to the performance of BCC patients
receiving other treatments. For that reason, a submodel is defined for each treatment type. For
patients referred for self-treatment, they are informed about the treatment by the doctor and are
scheduled for follow-up appointments to evaluate their status. This treatment consists on the
application of a special ointment prescribed by the doctor, at home for a specific period of time.
Some patients experiencing unexpected reactions to the cream can call back the doctor or ask for
another appointment before they continue their treatment. This possibility is not represented in
the model because its occurrence is not significant.
The submodel for patients diagnosed with BCC and prescribed to receive Photo Dynamic
Therapy (PDT) is shown in Figure 13. Every day there is one nurse assigned for the PDT. At the
beginning of the appointment slot, the nurse has the files from all the patients with one
appointment. This treatment is divided in three parts: (1) Ointment application, (2) Waiting time
to let the ointment work, and (3) Exposition to the infrared light. First, the nurse registers the
arrival of the patient, following by a check of the patient’s file. The nurse calls the patient from
the waiting room. The nurse examines the tumor to confirm it has not change since the doctor’s
diagnosis. Following, she applies the special ointment on the tumor and sends the patient back to
the waiting room. The time spend on the application of this ointment is on average 10 minutes.
Patients wait for two or three hours, depending on the treatment required, before the nurse call
them back to apply the infrared light during 10 minutes after 3 hours or 30 minutes after 2 hours.
Finally, the nurse schedules the next appointment for a follow-up visit with the doctor after three
months.
62
Figure 13-Submodel for the Photo Dynamic Therapy (PDT)
The second type of treatment model is the MOHs. The submodel for the patients treated with
MOHs is shown in Figure 14 . Patients arrive and stay at the waiting room until the assistant ask
them to go to the operating room. At the operating room, the doctor with one assistant prepares
the patient for the surgery, first marking the area to be excised and then applying the anesthesia.
The shared assistant calls the specialist assigned which will remains in the room to supervise
when the doctor excise the tumor. When the tumor is completely removed, then the supervisor
leaves the operating room. The doctor controls the blood drain from the wound and then the
assistant put a bandage in the open wound, until the doctor prepares the tumor samples.
The patient returns to a waiting room until those samples are evaluated and confirmed if
the patient is cancer free or if still requires excising more tissue. The samples are sent to the lab
to be prepared in slices for their analysis. The activity to prepare the sliced samples in the lab is
modeled as a delay, because even though is important for the process but is performed by an
external resource. When the doctors finish excising the tumor for all the patients scheduled for an
appointment block, then they evaluate all the sliced samples received from the laboratory. For
this evaluation both, the doctor and the specialist, together decide if the patient is cancer free or
still requires another excision.
For the second appointment block, the priority is based on the remaining time needed to
finish the treatment. They start treating patients that requires another excision and finally the
patients already cancer free. The percentage of patients needing a second or third excision is
approximately 50%. When all patients are cancer free, then they are called to go back to the
operating room to close their wound and schedule their next appointment in two weeks to
remove the stitches and in six months for a control post-treatment visit.
63
Figure 14-Submodel for the MOHs Procedure
The submodel for the Excision is also included in the model and shown in Figure 15. The
patient is prepared by the assistant at the operating room and the doctor starts evaluating and
marking the tumor. This activity is supervised by one specialist. The specialist leave the room
and the doctor continue excising the tumor and then closing the wound with stitches. In parallel,
the doctor prepare the samples from the tumor to send them to the laboratory, while the assistant
schedule the next appointment for the patient to remove the stitches in two weeks and for the
next control visit in six months.
Figure 15-Submodel for the Excision
The model also contains some blocks only to collect statistics from the process, like the number
of patients for each DiagnoseType, and the average time that a patient spend in the process since
their first consultation appointment until they receive their treatment. A list of the activities
described in the model with their resources and time duration is included in Appendix D.
- Visual basic application:
The process of making an appointment was described using a visual basic code. This
code was built for three principal purposes: first, to model the decisions related to the assignment
of an appointment date and time for each patient; secondly, to allocate the patient with a specific
doctor; and finally, to facilitate the changes in the parameters used as input variables by the
model. This process is represented using a submodel. The secretary asks the patient’s name and
date of birth to schedule the appointment for a consultation meeting in the first day available.
The patient’s name and date of birth are used to identify each patient individually, in the model it
64
is substituted by the attribute Patient_ID. The Patient_ID is a unique integer number defined for
each patient to identify them in the process. The actual activity is performed using a Visual Basic
for Applications (VBA) block. Every time an entity arrives to the VBA block, the program
observes the type of patient asking for the appointment (attribute PatientType: 1=New and
2=Control patients) and evaluate when is the next appointment slot available.
The VBA code included more than 40 pages that will not be included in this document
considering that they will not provide any important insight for users without background
knowledge in this programming language. It is important to present the decisions made in the
process of assigning an appointment. Therefore, this process will be described using flow charts,
which are self-explanatory and do not require a special training to be interpreted. Flow charts are
descriptive languages that have proved to allow users to gain knowledge over what has been
modeled. To simplify the comprehension of the processes modeled using flow charts, Table 18
and Table 19 present a brief description of the main global variables and attributes used in the
model.
Table 18-Description of variables
Name Description Type Array
Dimension
Rows Col.
appointment_time_morning Indicates the specific time of the appointment slot assigned
to a patient. The first column point out the hour and the
second column the minute of the appointment. There are a
maximum of 17 appointment slots during one block. They
differ on the block for which the appointment is assigned:
morning or afternoon.
Array-
Integer
17 2
appointment_time_afternoon Array-
Integer
17 2
App_rule_afternoon The appointment rule defines the policy used to schedule
the appointment per patient type. The actual system use the
same policy for both appointment blocks: morning and
afternoon, but both variables are differentiating to allow
changes in the proposed scenario. The current policy is to
receive in one block a maximum of 5 new patients, and start
the block with two appointment slots for control patients
followed by one new patient.
Array-
Integer
17 2
App_rule_morning Array-
Integer
17 2
Consult_Doctors Presents a schedule of the doctor available for consultation
per block per day. The maximum number of doctors
available is 8, and during one week there are 14 blocks,
each one corresponding to the morning and afternoon for 7
days a week.
Array -
integer
14 8
Consult_Supervisors Presents a schedule of the specialist available for
supervision during consultation, per block per day. The
maximum number of specialists available is 7.
Array -
integer
14 7
Max_control_pat_slots Indicates the maximum number of appointment slots
available for control patients during the week. This amount
is assigned per doctor per block.
Array -
integer
14 8
Max_new_pat_slots Indicates the maximum number of appointment slots
available for control patients during the week. This amount
is assigned per doctor per block.
Array -
integer
14 8
Max_doctor Shows the maximum amount of doctors assigned for
consultation per block per day, in the current situation.
Array -
integer
14 1
65
Max_sup Shows the maximum amount of specialists assigned to
supervise the doctors during consultation, per block per
day.
Array -
integer
14 1
Max_treat3_pat_slots Indicates the maximum number of appointment slots
available for PDT treatment per block every day.
Array -
integer
14 1
Max_treat4_pat_slots Indicates the maximum number of appointment slots
available for MOHs treatment per block every day. The
value is assigned to a specific Operating Room from the 5
available.
Array -
integer
14 5
Max_treat5_pat_slots Indicates the maximum number of appointment slots
available for Excision per block every day. The value is
assigned to a specific Operating Room from the 5 available.
Array -
integer
14 5
OpRoom_Doctor Identifies the doctor assigned for treatment every day in
their respective operating room. The doctors are coded with
values form 1until 8.
Array -
integer
14 5
OpRoom_Procedure Shows a weekly schedule of the treatments to be performed
at a specific operating room.
Array -
integer
14 5
OpRoom_Specialist Identifies the specialists assigned for treatment every day in
their respective operating room. Specialists are coded with
values form 1until 7.
Array -
integer
14 5
patient_counter Variable used to increment in one unit every time a new
patient arrives to the clinic and assign this value as a
personal identification for the patient.
Integer
Patarrival Indicates the parameter of the Exponential distribution that
indicates the arrival of patient’s calls every day to the clinic.
4
today Indicates the day during the run, starting at 1. It is assumed
7 days a week and 40 weeks a year, full time.
0
weekday Assumes a value from 1-7, in which 1=Sunday and
7=Saturday. The initial value is read from the day of the
week in the first day of the simulation
CalDayOfWeek(TNOW)
= 2 (Monday)
Table 19-Description of Attributes
Name Description Type Initial value
Appointment_date Indicates the appointment day for consultation
assigned for each patient. The initial value is a
variable called today which is the day that the patient
call the clinic, represented in the model by an arrival.
Integer Variable “today”
appointment_time_hour Indicates the time of the appointment for
consultation for each patient. The specific hour and
minute for the appointment. The notation used is
integer values: (1) hours within a range between 9
and 17; and (2) minutes from 1 to 60.
Integer 0
appointment_time_min 0
Appointment_treat Indicates the appointment day for treatment assigned
for each patient. The initial value is a variable called
today which is the day that the doctor inform the
patient about their diagnosis and refer the files from
the patient to the secretary to schedule an
appointment.
Integer Variable “today”
ArrivalTime Indicates the specific moment in time of the arrival.
It represents the moment during the day that the
Integer TNOW
66
patient call to make an appointment for consultation.
call_day Indicates the specific day that the patient calls. Integer today
DiagnoseType Define the type of diagnosis defined for each patient.
The diagnosis could assume five different values: (1)
non BCC, after all the test the patient is diagnosed
with melanoma or SCC (10%); (2) BCC refereed for
self-treatment (20%); (3) BCC referred to PDT
(20%); (4) BCC referred for Mohs surgery (20%);
and finally (5) BCC referred for Excision (30%).
Integer Discrete
Distribution with
cumulative prob.
0.1 - 1
0.3 - 2
0.5 - 3
0.7- 4
1.0 - 5
Doctor_assigned Indicates the number of the specific doctor assigned
for consultation or treatment during the day of the
appointment. The range of values change from 1-8.
Integer 0
Patient_ID Represents the unique identity number assigned to
each patient, which in the model substitute the
patient’s name and date of birth together.
Integer patient_counter
PatientType Indicates if the patient is new=1 or control=2. This
classification is used to define the patient routing in
the process and to collect statistics per patient type.
Integer 1
position Indicates the position in the list of appointment slots
available during one day.
Integer 0
Room_assigned Indicates the number of the specific operating room
for treatment during the day of the appointment. The
range of values change from 1-5.
Integer 0
Spec_assigned Indicates the number of the specific specialist
assigned for consultation or treatment during the day
of the appointment. The range of values change from
1-7.
Integer 0
waitingforappoint Indicates the time that a patient needs to wait since
an appointment is scheduled until the specific day
and time of the appointment.
Integer 0
Week_day_appoint Indicates the day of the week with an appointment,
for consult or treatment. Assumes a value from 1-7,
in which 1=Sunday and 7=Saturday.
Integer weekday
The process to assign an appointment slots for the consultation of new and control
patients are shown in Figure 16, Figure 17, Figure 18, Figure 19 and Figure 20. The current
appointment system used in the oncology outpatient clinic is divided in 2 blocks per day
(morning and afternoon), including for the consultation in every block a combination of one
appointment slot for a new patient followed by two slots for control patients and one blocked
slot. The appointment slots planned for new patients are a maximum of five per block per doctor,
and have an expected duration of 15 minutes. While the appointment slots for control patients
have a planned duration of 5 minutes. It has been observed that is common to spend more than 5
minutes with a regular control patient, increasing the patients’ waiting time in queue. The
planner decided to manage this concern, including a blocked slot of 5 minutes after two
consecutive control patients.
The process starts comparing the day that the patient call the clinic looking for an
appointment named “Appoint_date”, with the next day in which an appointment slot is available
for consultation called previousday_new. If the patient call before the next day available for an
67
appointment, then the initial day to search for the appointment is the previousday_new. Besides,
the initial day to search for an appointment is one day after the call, assuming that appointments
are not assigned for the same day of the call. It can be observed in Figure 16 that some operations
are performed only to clean the agenda form one week to another, with this operation the agenda
only store appointments for one week and the information about the appointment is carried as
attributes by every individual patient.
The second part of the process is shown in Figure 17. The secretary start looking in the
suggested day resulted from the previous step, and furthermore look if during this day there is an
appointment slot available for consultation with any of the doctors available this day. In the
model this operation is represented comparing the value stored in the variable Slots_busy_new
(nextrow1, nextcol1) with the Max_new_pat_slots(nextrow1, nextcol1). The variable
Slots_busy_new (nextrow1, nextcol1) is a matrix of dimension 14 x 8 that stores the number of
appointment slots already taken by a patient, in this case new patient, per block per doctor. The
blocks are 14 starting in 1=Sunday morning and ending in 14 = Saturday afternoon. The columns
represent the maximum amount of doctors available for consultation. This matrix is use to
compare the number of appointments already booked with the maximum appointments available
this day per patient type. These variables were created assuming that the amount of doctors
available for consultation every day varies significantly, similar to the amount of appointments
available depending on the patient type as explained before. For new patients there is a
maximum of 5 appointment slots per doctor available, and 12 for control patients. The variable
nextrow1 indicates the block corresponding to the suggested next day available for appointment,
while nextcol1 represents the first doctor available for an appointment.
When the next appointment slot available is found, the Appoint_date is assigned for the
patient, together with the specific position and specific time for the appointment considering if
the appointment is defined for the morning of afternoon. It is also necessary to save the values of
the last day of the appointment called previousday_new and the specific block (nextrow1) and
doctors (nextcol1), to make the search more efficient for the next patients arriving to the clinic
for an appointment. The last part of the process, which is represented in Figure 17, fist assigns a
specialist to supervise the patient consult, considering those who are scheduled to supervise
during the specific day of the appointment. At the end of the process the resulted values related
to the appointment date, time, doctor and supervisor assigned are printed as attributes that will be
used in the regular patient’s flow logic in Arena.
The same approach was considered for the appointment of the different treatments: PDT,
MOHs and Excision. The flow chart for the PDT is included in Figure 21 and Figure 22. In this
process there are no difference between new and control patients for the treatment, in terms of
the planning. The decisions made in this process are the same explained for the assignment of
appointment slots for consultation, differing in the fact that for PDT is not necessary to assign a
doctor, specialist and operating room because it is performed by a nurse in a specific room
independently from the operating rooms. Finally, patients need to wait until the day of the
appointment to go to the clinic and register at the front desk.
68
- Model to make appointments for consultation and treatment for new and control
patients:
There are four different processes described in this section related to the scheduling of
appointments for new and control patients. The first process describes the assignment of
appointment slots for the consultation of new and control patients, which are differentiated per
patient type. This process includes three parts described in: (1) Figure 16 and Figure 17, for new
patients; (2) Figure 19 and Figure 20, for control patients; and (3) Figure 18 for both. The
descriptions of the different decisions made in those processes are similar and only differ in the
variables used to guarantee that the outputs of both processes are independent of each other. For
instance, the arrival of a new patient will not affect the number of appointment slots available for
control patients during one day and neither the other way around. The variables identified with
an extension 1 correspond to new patients, and with extension 2 to control patients (i.e. nextrow1
for new patients and nextrow2 used for the appointment of control patients). Another notation is
to use new or control in the variable name, for example previousday_new and
previous_day_control.
The second, third and fourth processes are related to the assignment of an appointment
slot for patient’s treatment: PDT, MOHs and Excision, respectively. Those processes are
described together for new and control patients. The appointment of PDT is shown in Figure 21
and Figure 22. The process is the same used for the MOHs and Excision, with small changes in
the notation: the extension 3 is used for PDT, 4 for the MOHs and 5 for Excision (i.e.
previousdaytreat3, previousdaytreat4 and previousdaytreat5, used to define the last day available
for treatment using PDT, MOHs and Excision). The main idea is that the assignment of an
appointment slot available for a PDT treatment is independent of the next day available for an
appointment slots for MOHs.
69
Figure 16- Process to make an appointment for the consultation of a new patient part 1
Consult_Part1_New
pat_Type=1
q=nextrow1
p=nextcol1
No
q>=nextrow1nextrow1=q
nextcol1=p
Appoint_date
<previousday_new
Yes
Consult_Part 2_new
Appoint_date=previousday_new
previousday_new=Appoint_date+1
nextrow1=((week_day_appoint+1)*2)-1
nextcol1=1
Appoint_date -
previousday_new <7
Yes
No
Yes
Yes
No No
i=0
j=1
Max_new_pat_
slots((q+i),j)>0
Slots_busy_new(
(q+i),j)=0
Yes
No j<5
i<nextrow1-q-1
No
j=j+1
Yes i=i+1
Yesposition_new=0
q=nextrow1
p=nextcol1
No
i=0
j=1
Max_new_pat_
slots(i,j)>0
Slots_busy_new(i,j)=0
Yes
No j<5
i<14
No
j=j+1
Yes i=i+1
Yes
position_new=0
q=nextrow1
p=nextcol1
No
“Control”
“New”
Consult_Part
1_Control
week_day_app
oint =7
previousday_new=Appoint_date+1
nextrow1=1
nextcol1=1
Yes
No
70
Figure 17- Process to make an appointment for the consultation of a new patient part 2
Consult_Part 2 _
New
i=1
j=1
Slots_busy_new
(nextrow1,nextcol1)
<
Max_new_pat.slots
(nextrow1,nextcol1)
Slots_busy_new(nextrow1,nextcol1)=0
nextcol1=nextcol1+1nextcol1>8
nextcol1=1
nextrow1=nextrow1+1nextrow1>14
nextrow1=1
Yes
YesYes
j<8
i<14 i=i+1
j=j+1
No
nextcol1=pnextrow1=q
nextrow1>q
i=14
j=8
No
Yes Yes
No position_new=0
q Mod 2=1 And
nextrow1 Mod
2=0
q Mod 2=1 And
nextrow1 Mod 2=0Yes
No
No
previousday_new =
previousday_new+round((nextrow1-q-1)/2)Yes
previousday_new =
previousday_new+round((nextrow1-q)/2)No
previousday_new =
previousday_new+round((14-q+nextrow1-1)/2)
previousday_new =
previousday_new+round((14-q-nextrow1)/2)
Yes
No
Appoint_date=previousdat_new
position_new=0
i=14
j=8
No
No
Yes
No
nextrow1 Mod
2 = 1
k = position_new
k = position_new
K<17k = k+1
App_rule_morning(k,2)
=1
position_new = App_rule_morning(k,1)
Slots_busy_new(nextrow1, nextcol1)
=Slots_busy_new(nextrow1, nextcol1) + 1
appointment_time(1, 1) =
appointment_time_morning(k, 1)
appointment_time(1, 2) =
appointment_time_morning(k, 2)
k = 17
Yes
Consult_Part3
K<17k = k+1
App_rule_afternoonk,2)
=1
position_new = App_rule_afternoon(k,1)
Slots_busy_new(nextrow1, nextcol1)
=Slots_busy_new(nextrow1, nextcol1) + 1
appointment_time(1, 1) =
appointment_time_afternoon(k, 1)
appointment_time(1, 2) =
appointment_time_afternoon(k, 2)
k = 17
NoYes
Yes No
Noposition = position_new
Doctor_assigned = nextcol1
Yes
Appoint_date=previousday_new
71
Figure 18- Process to make an appointment for the consultation of patients- part 3
Consult_Part 3
Week_day_appoint=(week_day_appoint +
Appoint_date-Call_day) Mod 7
Week_day_app
oint=0
Patient_type=1
pointer_sup(nextrow1,1)
> Max_sup(nextrow1,1)
Week_day_appoint=1
Yes
pointer_sup(nextrow1,1) =
pointer_sup(nextrow1,1)+1
Yes
pointer_sup(nextrow1,1)=1
i=pointer_sup(nextrow1,1)
i<Max_sup(nextrow1,
1)
i=i+1
Yes
No
Sup_availab(next
row1,i)>0
No
No
Yes
Spec_assigned=Sup_availab(nextrow1,pointer_s
up(nextrow1,1))
i=Max_sup(nextrow1,1)
Yes
End
No
pointer_sup(nextrow2,1)
> Max_sup(nextrow2,1)
pointer_sup(nextrow2,1) =
pointer_sup(nextrow2,1)+1
pointer_sup(nextrow2,1)=1
i=pointer_sup(nextrow2,1)
1<Max_sup(nextr
ow2,1)
i=i+1
Yes
No
Sup_availab(ne
xtrow2,i)>0No
Yes
Spec_assigned=Sup_availab(nextrow2
,pointer_sup(nextrow2,1))
i=Max_sup(nextrow2,1)
Yes No
No
72
Figure 19- Process to make an appointment for the consultation of a control patient part 1
Consult_Part1_Control
q=nextrow2
p=nextcol2
q>=nextrow2nextrow2 = q
nextcol2 = p
Appoint_date
<previousday_control
Yes
Consult_Part 2_control
Appoint_date=previousday_control
Appoint_date -
previousday_control <7
No
Yes
Yes
No No
i=0
j=1
Max_control_pat_
slots((q+i),j)>0
Slots_busy_control
((q+i),j)=0
Yes
Noj<5
i<nextrow2-q-1
No
j=j+1
Yesi=i+1
Yesposition_control=0
q=nextrow2
p=nextcol2
No
i=0
j=1
Max_control_pat_
slots(i,j)>0
Slots_busy_control(i,j)=0
Yes
No j<5
i<14
No
j=j+1
Yes
i=i+1
Yes
position_control=0
q=nextrow2
p=nextcol2
No
week_day_app
oint =7Yes
No
previousday_control=Appoint_date+1
nextrow2=1
nextcol2=1
previousday_control=Appoint_date+1
nextrow2=(week_day_appoint*2)-1
nextcol2=1
73
Figure 20- Process to make an appointment for the consultation of a control patient part 2
Consult_Part 2 _
control
i=1
j=1
Slots_busy_control
(nextrow2,nextcol2)
<
Max_control_pat.slots
(nextrow2,nextcol2)
Slots_busy_new(nextrow2,nextcol2)=0
nextcol2=nextcol2+1nextcol2>8
nextcol2=1
nextrow2=nextrow2+1nextrow2>14
nextrow2=1
Yes
YesYes
j<8
i<14 i=i+1
j=j+1
No
nextcol2=pnextrow2=q
nextrow2>q
i=14
j=8
No
Yes Yes
No position_control=0
q Mod 2=1 And
nextrow2 Mod
2=0
q Mod 2=1 And
nextrow2 Mod
2=0
Yes
No
No
previousday_control =
previousday_control+round((nextrow2-q-1)/2)Yes
previousday_control =
previousday_control+round((nextrow2-q)/2)No
previousday_control =
previousday_control+round((14-q+nextrow2-1)/2)
previousday_control =
previousday_control+round((14-q-nextrow2)/2)
Yes
No
Appoint_date=previousdat_new
position_new=0
i=14
j=8
No
No
Yes
No
nextrow2 Mod
2 = 1
k = position_control
k = position_control
K<17k = k+1
App_rule_morning(k,2)
=1
position_new = App_rule_morning(k,1)
Slots_busy_new(nextrow1, nextcol1)
=Slots_busy_new(nextrow1, nextcol1) + 1
appointment_time(1, 1) =
appointment_time_morning(k, 1)
appointment_time(1, 2) =
appointment_time_morning(k, 2)
k = 17
Yes
Consult_Part3
K<17k = k+1
App_rule_afternoon(k,2)
=1
position_control = App_rule_afternoon(k,1)
Slots_busy_control(nextrow2, nextcol2)
=Slots_busy_control(nextrow2, nextcol2) + 1
appointment_time(1, 1) =
appointment_time_afternoon(k, 1)
appointment_time(1, 2) =
appointment_time_afternoon(k, 2)
k = 17
NoYes
YesNo
Noposition = position_control
Doctor_assigned = nextcol2
Yes
Appoint_date=previousday_control
74
Figure 21- Process to make an appointment for the Photo Dynamic Therapy treatment part 1
PDT_Part1
q3>=
nextrowtreat3nextrowtreat3=q3
Appoint_date3
<previousdaytreat3
Yes
PDT_Part 2
Appoint_date=previousdaytreat3
previousdaytreat3=Appoint_date3+1
nextrowtreat3=((week_day_appoint+1)*2)-1
Appoint_date3 -
previousdaytreat3 <7
No
Yes
Yes
No No
i3=0
Max_treat3_pat_
slots((q3+i3),1)>0
Slots_busytreat3
((q3+i3),1)=0
Yes
No
i3<
nextrowtreat3-
q3-1
i=i+1
Yes positiontreat3=0
q3=nextrowtreat3No
i3=0
Yes
No
i<14
i=i+1
Yes
No
week_day_app
oint =7
previousdaytreat3=Appoint_date3+1
nextrowtreat3=1Yes
No
q3=nextrowtreat3
Max_treat3_pat_
slots(i3,1)>0
Slots_busytreat3
(i3,1)=0
positiontreat3=0
q3=nextrowtreat3
75
Figure 22- Process to make an appointment for the Photo Dynamic Therapy treatment part 2
PDT_Part 2
i3=1
Slots_busytreat3
(nextrowtreat3, 1)
<
Max_new_pat.slots
(nextrowtreat3, 1)
Slots_busytreat3 (nextrowtreat3 ,1)=0
nextrowtreat3 =nextrowtreat3 +1nextrow1>14 nextrow1=1
Yes
i3<14
i3=i3+1
No
Nextrowtreat3
=q3
nextrowtreat3
>q3
No
Yes
No
q3 Mod 2=1 And
nextrowtreat3 Mod 2=0
q3 Mod 2=1 And
nextrowtreat3 Mod
2=0Yes
No
previousdaytreat3 =
previousdaytreat3 +round((nextrowtreat3-q3-1)/2)Yes
previousdaytreat3 = previousdaytreat3
+round((nextrowtreat3 -q3)/2)No
previousdaytreat3 = previousdaytreat3
+round((14-q3+nextrowtreat3 -1)/2)
previousdaytreat3 = previousdaytreat3
+round((14-q3-nextrowtreat3 )/2)
Yes
No
Appoint_date3=previousdaytreat3
positiontreat3 =0i3=14
k3 = positiontreat3 +1
Slots_busytreat3
(nextrowtreat3,1<
Max_treat3_pat_slots(nex
trowtreat3,1)
k3 = k3+1
positiontreat3= Slots_busytreat3(nextrowtreat3,1)
Slots_busytreat3(nextrowtreat3,1)=Slots_busytreat
3(nextrowtreat3,1) + 1
k3 = Max_traet3_pat_slots(nextrowtreat3,1)
position = position_new
Doctor_assigned = nextcol1
Yes
Appoint_date=previousday_new
i3=14
Yes
No
Yes
K3<
Max_treat3_pat_slots
(nextrowtreat3,1)
Yes
No
No
week_day_app
oint =0
week_day_appoint =7
End
Appendix D - Overview of the different tasks with a definition of the resources required and their estimated service times
Type
Set Name
Quantity
Selection R
ule
Set In
dex
Take info
via call
Seize
Delay
Triangular
Minute
sValue A
dded
12
3Set
Assista
nt
1Specific M
ember
2
Finish call
Delay R
elease
Constant
Minute
sValue A
dded
Set
Assista
nt
1Specific M
ember
2
wait for appointm
ent
Delay
Exp
ression
Day
sW
ait
Waitin
g for ap
pointm
ent time
Delay
Constant
Minute
sW
ait
Reg
ister front des
k consult
Seize
Delay R
elease
Triangular
Minute
sValue A
dded
0.5
11.5
Set
Assista
nt
1Specific M
ember
1
Consult m
eeting init
Seize
Delay
Triangular
Minute
sValue A
dded
23.5
5Set
Docto
r1
Specific M
ember
Docto
r_assigned
Consult m
eeting sup
Seize
Delay R
elease
Triangular
Minute
sValue A
dded
1.5
22.5
Set
Specialists
1Specific M
ember
Spec
_ass
igned
Consult m
eeting supcon
Seize
Delay R
elease
Triangular
Minute
sValue A
dded
11.5
2Set
Specialists
1Specific M
ember
Spec
_ass
igned
Consult m
eeting end
Delay R
elease
Triangular
Minute
sValue A
dded
0.5
11.5
Set
Docto
r1
Specific M
ember
Docto
r_assigned
Wait next appoint consult
Delay
Constant
Day
sW
ait
Rece
ive in
fo photo
and biopt
Seize
Delay R
elease
Triangular
Minute
sValue A
dded
12
3Set
Assista
nt
1Specific M
ember
1
Take
photo
Delay
Triangular
Minute
sValue A
dded
18
19
20
Registe
r front desk bio
pt
Seize
Delay R
elease
Triangular
Minute
sValue A
dded
0.5
11.5
Set
Assista
nt
1Specific M
ember
1
Take sam
ple b
iopt
Seize
Delay R
elease
Triangular
Minute
sValue A
dded
3.5
812.5
Set
Assista
nt
1Specific M
ember
3
Send sam
ples to lab
Seize
Delay R
elease
Triangular
Minute
sValue A
dded
0.5
11.5
Set
Assista
nt
1Specific M
ember
3
Path
ology analysis regular pat
Delay
Triangular
Minute
sValue A
dded
10
14
16
Update patient record
Seize
Delay R
elease
Triangular
Minute
sValue A
dded
1.5
2.5
4Set
Assista
nt
1Specific M
ember
2
info
rm d
iagnosis and tre
atm
ent
Seize
Delay R
elease
Triangular
Minute
sValue A
dded
3.5
55.5
Set
Docto
r1
Specific M
ember
Docto
r_assigned
Waiting for treatm
ent
Delay
Constant
Day
sW
ait
wait to remove stitches
Delay
Constant
Day
sW
ait
Wait until next appoin
t 90
Delay
Constant
Day
sW
ait
Wait u
ntil next appoin
t 180
Delay
Constant
Day
sW
ait
Plan Exc
ision
Seize
Delay
Triangular
Minute
sValue A
dded
12
3Set
Assista
nt
1Specific M
ember
2
Info
rm patient Exc
ision
Delay R
elease
Triangular
Minute
sValue A
dded
0.5
11.5
Set
Assista
nt
1Specific M
ember
2
Plan M
ohs
Seize
Delay
Triangular
Minute
sValue A
dded
14.5
15
15.5
Set
Assista
nt
1Specific M
ember
2
Send info
Mohs to patients
Delay R
elease
Triangular
Minute
sValue A
dded
0.5
11.5
Set
Assista
nt
1Specific M
ember
2
Plan PDT
Seize
Delay
Triangular
Minute
sValue A
dded
12
3Set
Assista
nt
1Specific M
ember
2
Info
rm patient PDT
Delay R
elease
Triangular
Minute
sValue A
dded
0.5
11.5
Set
Assista
nt
1Specific M
ember
2
Maximum
Submodel
Pro
cess
Action
Delay T
ype
Units
Allocation
Minim
um
Value
Main m
odel
Make appoin
t treatm
ent
BCC
Resources
0 5
180
waitingfo
rappoint
12
90
180
waitingfo
rappoint
Make appointm
ent
77
Type
Set N
ame
Quantity
Selection R
ule
Set In
dex
Register arrival PDT patient
Seize D
elay R
elease
Triangular
Minutes
Value A
dded
0.5
11.5
Set
Assistant
1Specific M
ember
4
Check file and ointm
ent ap
plication
Seize D
elay R
elease
Triangular
Minutes
Value A
dded
10
12
15Set
Assistant
1Specific M
ember
4
Ointm
ent work tim
e2
Delay
Constant
Hours
Value A
dded
Ointm
ent work tim
e3
Delay
Constant
Hours
Value A
dded
Infrared light ex
position and plan
postcare2
Seize D
elay R
elease
Triangular
Minutes
Value A
dded
30
31
32Set
Assistant
1Specific M
ember
4
Infrared light ex
position and plan
postcare3
Seize D
elay R
elease
Triangular
Minutes
Value A
dded
10
11
12Set
Assistant
1Specific M
ember
4
Set
Operating R
oom
1Specific M
ember
Room_ass
igned
Set
Docto
r1
Specific M
ember
Docto
r_as
signed
Set
Assistant
1Specific M
ember
5
Register arrival M
OHs patient
Seize D
elay R
elease
Triangular
Minutes
Value A
dded
0.5
11.5
Set
Assistant
1Specific M
ember
6
Superv
ision by specialis
tSeize D
elay R
elease
Triangular
Minutes
Value A
dded
23
5Set
Spec
ialists
1Specific M
ember
Spec
_assigned
Set
Operating R
oom
1Specific M
ember
Room_ass
igned
Set
Docto
r1
Specific M
ember
Docto
r_as
signed
Set
Assistant
1Specific M
ember
5
Slice samples in lab
Delay
Triangular
Minutes
Value A
dded
10
15
20
Set
Docto
r1
Specific M
ember
Docto
r_as
signed
Set
Spec
ialists
1Specific M
ember
Spec
_assigned
Set
Operating R
oom
1Specific M
ember
Room_ass
igned
Set
Docto
r1
Specific M
ember
Docto
r_as
signed
Set
Assistant
1Specific M
ember
5
Register arrival Exc
ision patient
Seize D
elay R
elease
Triangular
Minutes
Value A
dded
0.5
11.5
Set
Assistant
1Specific M
ember
7
Set
Operating R
oom
1Specific M
ember
Room_ass
igned
Set
Spec
ialists
1Specific M
ember
Spec
_assigned
Set
Docto
r1
Specific M
ember
Docto
r_as
signed
Set
Assistant
1Specific M
ember
7
End superv
ision
Delay R
elease
Triangular
Minutes
Value A
dded
Set
Spec
ialists
1Specific M
ember
Spec
_assigned
Perform
surg
ery
and close w
ound
Delay
Triangular
Minutes
Value A
dded
10
16
20
Set
Operating R
oom
1Specific M
ember
Room_ass
igned
Set
Docto
r1
Specific M
ember
Docto
r_as
signed
Set
Assistant
1Specific M
ember
7
Exc
ision pro
cedure
0
Maximum
Submodel
Pro
cess
Action
Delay T
ype
Units
Alloca
tion
Minim
um
Value
PDT T
reatm
ent
2 3
Resources
Prepare samples fo
r lab and update
record
15
15.5
Delay R
elease
Triangular
MOHs pro
cedure
Prepare patien
t an
d perform
surg
ery
Prepare sam
ples and bandage
Close w
ound and prepare report
Analyze
samples
Seize
Delay
Triangular
Minutes
Value A
dded
14.5
Minutes
Value A
dded
35
7 7
Delay R
elease
Triangular
Minutes
Value A
dded
23
5
Seize D
elay R
elease
Triangular
Minutes
Value A
dded
3
5
Receive patient and define exc
ision
area
Seize
Delay
Triangular
Minutes
Value A
dded
0.5
11.5
Seize D
elay R
elease
Triangular
Minutes
Value A
dded
23 5
Appendix E- Modeling the redesigned ODT process
This Appendix shows the changes requires in the current model for the redesigned ODT
process. First, variable was defined called Treat_type which assumes two values 1=ODT-patients
and 2 = for regular patients. When the patient arrive from the biopsy, the model checks if there is
some slot available for the patient to be treated on the same day, using the block VBA_7. The
default value for all the patients at the beginning of the process is 2 (regular treatment), but if the
patient find an appointment slot available for treatment during the same day, then Treat_type
changes to 1. For patients treated by redesigned ODT process, the results from pathology are
obtained TRIA(30,50,85) in minutes instead of the actual TRIA(10,12,14) in days. Also the task
to inform the patient is independent from the regular process and has a priority compared to
patients following the regular process.
Figure 23-Changes in pathological test for the redesigned ODT process
Figure 24- Changes in submodel for making an appointment for BCC patient’s treatment for the
redesigned ODT process
79
Appendix F- Sensitivity analysis for the arrival of new patients for consultation
The sensitivity analysis consists on evaluating the changes in the output due to changes in
some of the input variables. This analysis aims to identify the effect of the decision about the
selection of a Poisson distribution to model the number of patients arriving every day to the
clinic, instead of just assuming a deterministic value.
Figure 25- Sensitivity analysis of the probability distribution for the arrival pattern
It can be derived from Figure 25 that the null hypothesis that there are no differences in
the output provided using the Poisson distribution to model the arrival pattern than using a
deterministic arrival is rejected. The first line in Figure 25 shows 34.83 days (836 hours) as the
average throughput time for new patients treated by Excision when the distribution used to
simulate the arrival of new patients is Poisson. This value is 30.04 days (721 hours) when the
arrival is considered deterministic. It suggests that the Poisson distribution will provide bias to
the system’s performance.
80
Appendix G- Defining the warm-up period
The warm-up period is defined to avoid the bias caused by the initial conditions defined in the
model. In this case, the model initialized empty, but an artifact was created to avoid the need to
run the experiment for 5 years in which the clinic has been operating. The artifact was to identify
the current waiting time by treatment type, and added this amount of time to define the first day
available for treatment in the system. For instance, the waiting time for PDT is on average 2
weeks therefore, at the beginning of the simulation, the first appointment for a patient arriving at
the system looking for an appointment slot for treatment with PDT is available on day 14 instead
of day 1 which would be the case if the simulation started empty. After running 50 replicates, the
statistics of interest were collected and the warm-up period was defined as 160 days, indicating
that the statistics collected to evaluate the model includes the observations of patients arriving at
the clinic for the next 120 days during this year. It is necessary to explain that in Figure 26 the
time units are expressed in minutes.
Figure 26- Average throughput time for BCC patients treated with Excision and PDT
81
Appendix H - Admission rule for actual and proposed
Table 20 – Current allocation of appointment slots for consult meetings during the morning
Table 21- Current allocation of appointment slots for consult meetings during the afternoon
Position Description Patient_type Block
13 0 1 Control 2
13 5 2 Control 2
13 15 3 New 1
13 30 4 Control 2
13 35 5 Control 2
13 45 6 New 1
14 0 7 Control 2
14 5 8 Control 2
14 15 9 New 1
14 30 10 Control 2
14 35 11 Control 2
14 45 12 New 1
15 0 13 Control 2
15 5 14 Control 2
15 15 15 New 1
15 30 16 Control 2
15 35 17 Control 2
Afternoon
appointment_time
(hour, minutes)
Position Description Patient_type Block
9 0 1 Control 2
9 5 2 Control 2
9 15 3 New 1
9 30 4 Control 2
9 35 5 Control 2
9 45 6 New 1
10 0 7 Control 2
10 5 8 Control 2
10 15 9 New 1
10 30 10 Control 2
10 35 11 Control 2
10 45 12 New 1
11 0 13 Control 2
11 5 14 Control 2
11 15 15 New 1
11 30 16 Control 2
11 35 17 Control 2
Morning
appointment_time
(hour, minutes)
82
Table 22 – Proposed allocation of appointment slots for consult meetings during the morning
appointment_time (hour, minutes)
Position Description Patient_type Block
9 0 1 New 1
Morning
9 15 2 New 1
9 30 3 Control 2
9 40 4 New 1
9 55 5 New 1
10 10 6 Control 2
10 20 7 New 1
10 35 8 New 1
10 50 9 Control 2
11 0 10 New 1
11 15 11 New 1
11 30 12 Control 2
11 40 13 New 1
11 55 14 New 1
12 10 15 Control 2
12 20 16 Control 2
12 30 17 Control 2
Table 23 – Proposed allocation of appointment slots for consult meeting during the afternoon
appointment_time (hour, minutes)
Position Description Patient_type Block
13 30 1 Control 2
Afternoon
13 40 2 Control 2
13 50 3 Control 2
14 0 4 Control 2
14 10 5 Control 2
14 20 6 Control 2
14 30 7 Control 2
14 40 8 Control 2
14 50 9 Control 2
15 0 10 Control 2
15 10 11 Control 2
15 20 12 Control 2
15 30 13 Control 2
15 40 14 Control 2
15 50 15 Control 2
16 0 16 Control 2
16 10 17 Control 2
83
Appendix I – Resources allocation proposed by OpQuest for scenarios 2, 4, 6 and 8
Table 24 – Optimal allocation of resources for MOHs and Excision for scenario 2
Table 25 – Optimal allocation of resources for MOHs and Excision for scenario 4
Table 26 – Optimal allocation of resources for MOHs and Excision for scenario 6
Table 27 – Optimal allocation of resources for MOHs and Excision for scenario 8
BlockDoctors - consult
meeting
Doctors -
treatment
Specialists -
superv. consult
Specialists - Excision
and MOHsNurses - Excision
Monday morning 7 1 3 1 1
Monday afternoon 4 1 1 1 1
Tuesday morning 4 4 1 1 1
Tuesday afternoon 4 1 6 1 1
Wednesday morning 4 1 1 4 1
Wednesday afternoon 7 1 2 1 1
Thursday morning 4 1 1 3 1
Thursday afternoon 4 1 1 1 1
Friday morning 6 1 1 1 1
Friday afternoon 4 4 1 4 1
BlockDoctors - consult
meeting
Doctors -
treatment
Specialists -
superv. consult
Specialists - Excision
and MOHsNurses - Excision
Monday morning 3 3 1 4 2
Monday afternoon 1 1 5 1 0
Tuesday morning 5 3 1 1 1
Tuesday afternoon 7 1 1 1 0
Wednesday morning 3 1 5 1 2
Wednesday afternoon 5 2 1 1 2
Thursday morning 7 1 3 1 2
Thursday afternoon 7 1 3 2 0
Friday morning 6 1 1 1 1
Friday afternoon 4 2 1 1 2
BlockDoctors - consult
meeting
Doctors -
treatment
Specialists -
superv. consult
Specialists - Excision
and MOHsNurses - Excision
Monday morning 3 1 1 2 2
Monday afternoon 4 2 1 4 0
Tuesday morning 6 1 2 1 2
Tuesday afternoon 6 2 2 4 2
Wednesday morning 4 2 1 2 2
Wednesday afternoon 6 2 2 1 2
Thursday morning 6 1 2 1 2
Thursday afternoon 1 1 2 2 2
Friday morning 6 2 1 1 2
Friday afternoon 6 2 2 2 2
BlockDoctors - consult
meeting
Doctors -
treatment
Specialists -
superv. consult
Specialists - Excision
and MOHsNurses - Excision
Monday morning 7 1 1 4 1
Monday afternoon 7 1 2 4 1
Tuesday morning 3 5 1 1 1
Tuesday afternoon 4 3 1 2 2
Wednesday morning 6 1 4 3 1
Wednesday afternoon 4 1 1 1 0
Thursday morning 5 1 1 1 1
Thursday afternoon 7 1 1 1 2
Friday morning 4 1 1 4 1
Friday afternoon 1 1 1 1 1