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Chapter 3

Project Management

Definition of Project Management Work Breakdown Structure Project Control Charts Structuring Projects Critical Path Scheduling

– CPM with a Single Time– CPM with Three Activity Time Estimates

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Definition of Project Management Work Breakdown Structure Project Control Charts Structuring Projects Critical Path Scheduling

OBJECTIVES

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Project Management Defined Project

– A series of related jobs usually directed toward some major output and requiring a significant period of time to perform.

Project Management – The management activities of planning,

directing, and controlling resources (people, equipment, material) to meet the technical, cost, and time constraints of a project.

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Work Breakdown Structure

Program

Project 1 Project 2

Task 1.1

Subtask 1.1.1

Work Package 1.1.1.1

Level

1

2

3

4

Task 1.2

Subtask 1.1.2

Work Package 1.1.1.2

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Project Control Charts: Gantt Chart

Activity 1Activity 2Activity 3Activity 4Activity 5Activity 6

Time

Vertical Axis: Always Activities or Jobs

Horizontal Axis: Always Time

Horizontal bars used to denote time.

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Organization Structures for Projects

Pure Functional Matrix

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PURE PROJECT ORG.

A C C TG

H U M A N R E S O U R C E S

O M

P R O JE C T A P R O JE C T B P R O JE C T C

P U R E P R O JE C TC E O

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Structuring ProjectsPure Project: Advantages

The project manager has full authority over the project.

Team members report to one boss.

Shortened communication lines.

Team pride, motivation, and commitment are high.

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Structuring Projects Pure Project: Disadvantages

Duplication of resources.

Organizational goals and policies are ignored.

Lack of technology transfer.

Team members have no functional area "home."

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Structuring Projects Functional Project: Organization Structure

President

Research andDevelopment

Engineering Operations

ProjectA

ProjectB

ProjectC

ProjectA

ProjectB

ProjectC

ProjectA

ProjectB

ProjectC

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Structuring Projects Pure Project: Disadvantages

Duplication of resources.

Organizational goals and policies are ignored.

Lack of technology transfer.

Team members have no functional area "home."

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Structuring Projects Functional Project: Organization Structure

President

Research andDevelopment

Engineering Operations

ProjectA

ProjectB

ProjectC

ProjectA

ProjectB

ProjectC

ProjectA

ProjectB

ProjectC

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Structuring Projects Functional Project: Advantages

A team member can work on several projects.

Technical expertise is maintained within the functional area.

The functional area is a “home” after the project is completed.

Critical mass of specialized knowledge.

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Structuring Projects Functional Project: Disadvantages

Aspects of the project that are not directly related to the functional area get short-changed.

Motivation of team members is often weak.

Needs of the client are secondary and are responded to slowly.

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Structuring Projects Matrix Project: Organization Structure

President

Research andDevelopment

Engineering Manufacturing Marketing

ManagerProject A

ManagerProject B

ManagerProject C

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Structuring Projects Matrix: Advantages

Enhanced interfunctional communications.

Pinpointed responsibility.

Duplication of resources is minimized.

Functional “home” for team members.

Policies of the parent organization are followed.

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Structuring Projects Matrix: Disadvantages

Too many bosses.

Depends on project manager’s negotiating skills.

Potential for suboptimization.

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Network-Planning Models A project is made up of a sequence of

activities that form a network representing a project.

The path taking longest time through this network of activities is called the “critical path.”

The critical path provides a wide range of scheduling information useful in managing a project.

Critical Path Method (CPM) helps to identify the critical path(s) in the project networks.

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Prerequisites for Critical Path MethodologyA project must have:

well-defined jobs or tasks whose completion marks the end of the project;

independent jobs or tasks;

and tasks that follow a given sequence.

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Types of Critical Path Methods CPM with a Single Time Estimate

– Used when activity times are known with certainty.– Used to determine timing estimates for the project, each

activity in the project, and slack time for activities.

CPM with Three Activity Time Estimates– Used when activity times are uncertain. – Used to obtain the same information as the Single Time

Estimate model and probability information.

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Steps in the CPM with Single Time Estimate

1. Activity Identification. 2. Activity Sequencing and Network

Construction. 3. Determine the critical path.

– From the critical path all of the project and activity timing information can be obtained.

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In Class Example

Perform Forward Pass– Calculate Early Start, Early Finish

Perform Backward Pass– Calculate Late Start, Late Finish

Determine Critical Path– Formula

LS-ES= 0 or LF-EF= 0

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Example 1. CPM with Single Time Estimate

Consider the following consulting project:

Develop a critical path diagram and determine the duration of the critical path and slack times for all activities

Activity Designation Immed. Pred. Time (Weeks)Assess customer's needs A None 2Write and submit proposal B A 1Obtain approval C B 1Develop service vision and goals D C 2Train employees E C 5Quality improvement pilot groups F D, E 5Write assessment report G F 1

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Example 1: With Early Start Early Finish Determined

ES=9EF=14

ES=14EF=15

ES=0EF=2

ES=2EF=3

ES=3EF=4

ES=4EF=9

ES=4EF=6

A(2) B(1) C(1)

D(2)

E(5)

F(5) G(1)

LS=14LF=15

LS=9LF=14

LS=4LF=9

LS=7LF=9

LS=3LF=4

LS=2LF=3

LS=0LF=2

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Demonstration of how to Calculate

In Class Demonstration

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NOW:::

FOR CRITICAL PATH

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Example 1: Critical Path & Slack

A(2) B(1) C(1)

D(2)

E(5)

F(5) G(1)

ALL THAT IS NEEDED ES & LS or EF & LF

I PREFER ES & LS

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Example 1: Critical Path & Slack

ES=9 ES=14ES=0 ES=2 ES=3

ES=4

ES=4

A(2) B(1) C(1)

D(2)

E(5)

F(5) G(1)

LS=14LS=9

LS=4

LS=7

LS=3LS=2LS=0

Duration = 15 weeks

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Example 1: Critical Path & Slack

ES=9 ES=14ES=0 ES=2 ES=3

ES=4

ES=4

A(2) B(1) C(1)

D(2)

E(5)

F(5) G(1)

LS=14LS=9

LS=4

LS=7

LS=3LS=2LS=0

Slack=(7-4 = 3 Wks

A CHECKTASK LS - ES CPA 0 - 0 YESB 2 - 2 YESC 3 - 3 YESD 7 - 4 NOE 4 - 4 YESF 9 - 9 YESG 14 - 14 YES

THEREFORE CP = A-B-C-E-F-G

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Three Time Estimate Critical Path

Example

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Example 2. CPM with Three Activity Time Estimates

TaskImmediate

Predecesors Optimistic Most Likely PessimisticA None 3 6 15B None 2 4 14C A 6 12 30D A 2 5 8E C 5 11 17F D 3 6 15G B 3 9 27H E,F 1 4 7I G,H 4 19 28

6

4

6

Time Pess. + Time)Likely 4(Most + Time Opt. = Time Expected

bmaET

OR

a m b

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Example 2. Expected Time Calculations

TaskImmediate

PredecesorsExpected

TimeA None 7B None 5.333C A 14D A 5E C 11F D 7G B 11H E,F 4I G,H 18

ET(A)= 3+4(6)+15

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ET(A)=42/6=7

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Example 2. Network

A(7)

B(5.333)

C(14)

D(5)

E(11)

F(7)

H(4)

G(11)

I(18)

Duration = ?

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Example 2. Network

A(7)

B(5.333)

C(14)

D(5)

E(11)

F(7)

H(4)

G(11)

I(18)

Duration = 54 Days

ES=0

ES=7

ES=7

ES=21

ES=32

ES=12

ES=36

ES=0 ES=5.333

LS=36

LS=32

LS=21LS=7

LS=0

LS=25LS=20

LS=25LS=19.667

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THEREFORE:

CRITICAL PATH IS:

A-C-E-H-I

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Example 2. Probability Exercise

What is the probability of finishing this project in less than 53 days?

p(t < D)

TE = 54

Z = D - TE

cp2

tD=53

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Activity variance, = (Pessim. - Optim.

6)2 2

Task Optimistic Most Likely Pessimistic VarianceA 3 6 15 4B 2 4 14C 6 12 30 16D 2 5 8E 5 11 17 4F 3 6 15G 3 9 27H 1 4 7 1I 4 19 28 16

(Sum the variance along the critical path.)

2 = 41

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There is a 43.6% probability that this project will be completed in less than 53 weeks.

p(Z < -.156) = .5 - .0636 = .436, or 43.6 % (Appendix D)

Z = D - T

=53- 54

41= -.156E

cp2

TE = 54

p(t < D)

t

D=53

or - .16

Std Normal Dist.

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Example 2. Additional Probability Exercise

What is the probability that the project duration will exceed 56 weeks?

Solution Demonstrated in class

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CPM Assumptions/Limitations

Project activities can be identified as entities.

Project activity sequence relationships can be specified and networked.

Project control should focus on the critical path. The activity times follow the beta distribution, with

the variance of the project assumed to equal the sum of the variances along the critical path. Project control should focus on the critical path.

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MsProject Demonstration