Download - Chap 1-Intro & modelling.PPT
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1 - <#> 1
SQQP 5023
DECISION ANALYSISalso known as
OPERATIONS RESEARCH
MANAGEMENT SCIENCE
QUANTITATIVE ANALYSIS
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SQQP5023 - INTRODUCTION 2
• Why do I need to take this subject ?????
• What use it will be for me ?????
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QQP5023 - INTRODUCTION 3
WHY STUDY THIS COURSE
• The modeling techniques discussed in this course are used extensively in the business world
• Techniques such as forecasting, LP , etc. are very useful.
• Even if these techniques are not used directly on the job, the logical approach to problem solving, discussed in this course, is valuable for all types of jobs in all types of organizations.
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QQP5023 - INTRODUCTION 4
Introduction to Introduction to Quantitative AnalysisQuantitative Analysis
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QQP5023 - INTRODUCTION 5
Introduction
• Mathematical tools have been used for thousands of years
• QA can be applied to a wide variety of problems
• One must understand: the specific applicability of the technique, its limitations and its assumptions
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QQP5023 - INTRODUCTION 6
19901980
1970
1960195019401930192019101900
Expert Systems and Artificial IntelligenceDecision SupportInformation SystemGoal ProgrammingDecision TheoryNetwork ModelsDynamic ProgrammingGame TheoryTransportationAssignment TechniqueInventory ControlQueuing TheoryMarkov Analysis
The Evolution of QA
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QQP5023 - INTRODUCTION 7
Problem
Quantitative AnalysisLogicHistoric DataMarketing ResearchScientific AnalysisModeling
Qualitative AnalysisWeatherState and federal legislationNew technological breakthroughsElection outcome
Decision
?
The Decision-Making Process
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QQP5023 - INTRODUCTION 8
• Scientific Approach to Managerial Decision Making
• Consider both Quantitative and Qualitative Factors
Raw DataQuantitative
AnalysisMeaningfulInformation
Overview of Quantitative Analysis
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QQP5023 - INTRODUCTION 9
The Quantitative Analysis Approach
• Define the problem• Develop a model• Acquire data• Develop a solution• Test the solution• Analyze the results and perform sensitivity
analysis• Implement the results
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QQP5023 - INTRODUCTION 10
The QA ApproachDefine the Problem
Develop a Model
Acquire Input Data
Develop a Solution
Test the Solution
Analyze the Results
Implement the Results
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QQP5023 - INTRODUCTION 11
Define the Problem
• All else depends on this
• Clear and concise statement required
• May be the most difficult step
• Must go beyond symptoms to causes
• Problems are related to one another
• Must identify the “right” problem
• May require specific, measurable objectives
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QQP5023 - INTRODUCTION 12
Developing the Model
• Model is a representation of a situation• Models may be: physical, logical, scale, schematic
or mathematical• Models contain variablesvariables (controllable or
uncontrollable) and parametersparameters• Controllable variablesControllable variables are called decisiondecision
variablesvariables• Models should be solvable, realistic, easy to
understand and easy to modify
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QQP5023 - INTRODUCTION 13
Acquire Data
• Accurate data is essential (GIGO)
• Data may come from: company reports,
company documents, interviews, on-site
direct measurement, and statistical sampling
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QQP5023 - INTRODUCTION 14
Develop a Solution
• Manipulate the model to arrive at the “best” solution
• Solution must be practical and implementable• Various methods:
– solution of equation(s)
– trial and error
– complete enumeration
– implementation of algorithm
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QQP5023 - INTRODUCTION 15
Test the Solution
• Must test both input datadata and modelmodel
• Determine accuracy and completeness of
input data: collect data from a different
source and compare
• Check results for consistency - above all, do
they make sense?
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QQP5023 - INTRODUCTION 16
Analyze the Results
• Understand what action is implied by the solution• Determine the implications of this action• Conduct sensitivity analysis - change input value
or model parameter and see what happens• Use sensitivity analysis to help gain understanding
of problem (as well as for answers)
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QQP5023 - INTRODUCTION 17
Implement the Results
• Incorporate the solution into the company
• Monitor the results
• Use the results of the model and sensitivity
analysis to help you sell the solution to
management
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QQP5023 - INTRODUCTION 18
Modeling in the Real World
• Models are complex
• Models can be expensive
• Models can be difficult to sell
• Models are used in the realreal worldworld by realreal
organizationsorganizations to solve realreal problemsproblems
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QQP5023 - INTRODUCTION 19
Developing a QA Model
Example:
Western Clothing Company produce denim jeans. Each pair of denim jeans cost RM8 to produce and sells for RM23 per pair.
Model:
Profit = 23X – 8X; X = number of jeans sold
If the company sells 300 pairs of jeans,
Profit = 23 (300) – 8 (300) = RM4500
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QQP5023 - INTRODUCTION 20
Example:
Consider previous example. Let say the company also incurs fixed cost of RM10,000 per month.
Model:
Profit = 23X – 8X – 10,000; X = number of jeans sold.
At Break-even point: Total Revenue = Total Cost (i.e. Profit = 0)
0 = 23X – 8X – 10,000
X = 666.7 pairs of jeans.
Developing A QA Model (Finding Break-Even Point)
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QQP5023 - INTRODUCTION 21
Developing A QA Model (Finding Break-Even Point)
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QQP5023 - INTRODUCTION 22
Models Can Help Managers to
• gain deeper insight into the nature of business
relationships
• find better ways to assess values in such
relationships; and
• see a way of reducing, or at least understanding,
uncertainty that surrounds business plans and
actions
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QQP5023 - INTRODUCTION 23
Models
• are less expensive and disruptive than
experimenting with real world systems
• allow “What ifWhat if” questions to be asked
• are built for management problems and encourage
management input
• enforce consistency in approach
• require specific constraints and goals
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QQP5023 - INTRODUCTION 24
Models Can• accurately represent reality
• help a decision maker understand the problem
• save time and money in problem solving and decision making
• help communicate problems and solutions to others
• provide the only way to solve large or complex problems in a timely fashion
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QQP5023 - INTRODUCTION 25
The Downside: Models• may be expensive and time-consuming to
develop and test
• are often misused and misunderstood (and feared) because of their mathematical complexity
• tend to downplay the role and value of nonquantifiable information
• often have assumptions that oversimplify the variables of the real world
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QQP5023 - INTRODUCTION 26
Using Models: Some Suggestions(from Dr. J.N.D. Gupta)
• Use descriptive models
• Understand why the managers involved decide things the way they do
• Identify managerial and organizational changes required by the model
• Analyze each situation in terms of its impact on management
• Prepare a realistic cost/benefit analysis of tradeoffs of alternate solutions
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QQP5023 - INTRODUCTION 27
Mathematical Models Characterized by Risk
• Deterministic modelsDeterministic models - we know all values used in the model with certainty
• Probabilistic modelsProbabilistic models - we know the probability that parameters in the model will take on a specific value
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QQP5023 - INTRODUCTION 28
QM For Windows
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QQP5023 - INTRODUCTION 29
Main Menu of QM Models
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QQP5023 - INTRODUCTION 30
Possible Problems in Using Models
• Define the Problem– Conflicting viewpoints– Departmental impacts– Assumptions
• Develop a Model– Fitting the Model– Understanding the
Model
• Acquire Input Data– Accounting Data– Validity of Data
• Develop a Solution– Complex Mathematics– Only One Answer is
Limiting– Solutions become
quickly outdated
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QQP5023 - INTRODUCTION 31
Possible Problems, Continued
• Test the Solution– Identifying
appropriate test procedures
• Analyze the Results– Holding all other
conditions constant– Identifying cause and
effect
• Implement the Solution– Selling the solution to
others