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Chapter 9 Project Management

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Page 1: C09

Chapter 9

Project Management

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Copyright 2011 John Wiley & Sons, Inc.

Lecture Outline

• Project Planning• Project Scheduling• Project Control• CPM/PERT• Probabilistic Activity Times• Microsoft Project• Project Crashing and Time-Cost Trade-off

9-2

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Copyright 2011 John Wiley & Sons, Inc.

Project Management Process

• Project• unique, one-time operational activity or effort

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Project Management Process

Copyright 2011 John Wiley & Sons, Inc. 9-4

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Copyright 2011 John Wiley & Sons, Inc.

Project Management Process

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Copyright 2011 John Wiley & Sons, Inc.

Project Elements

• Objective• Scope• Contract requirements• Schedules• Resources• Personnel• Control• Risk and problem analysis

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Copyright 2011 John Wiley & Sons, Inc.

Project Team and Project Manager

• Project team• made up of individuals from various areas and

departments within a company

• Matrix organization• a team structure with members from functional

areas, depending on skills required

• Project manager• most important member of project team

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Copyright 2011 John Wiley & Sons, Inc.

Scope Statement

• Scope statement• a document that provides an understanding,

justification, and expected result of a project• Statement of work

• written description of objectives of a project

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Copyright 2011 John Wiley & Sons, Inc.

Work Breakdown Structure

• Work breakdown structure (WBS)• Breaks a project into components,

subcomponents, activities, and tasks

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Work Breakdown Structure for Computer Order Processing System Project

Work Breakdown Structure for Computer Order Processing System Project

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Copyright 2011 John Wiley & Sons, Inc.

Responsibility Assignment Matrix

• Organizational Breakdown Structure (OBS)• a chart that shows which organizational units are

responsible for work items

• Responsibility Assignment Matrix (RAM)• shows who is responsible for work in a project

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Responsibility Assignment Matrix

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Copyright 2011 John Wiley & Sons, Inc.

Global and Diversity Issues in Project Management

• Global project teams are formed from different genders, cultures, ethnicities, etc.

• Diversity among team members can add an extra dimension to project planning

• Cultural research and communication are important elements in the planning process

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Copyright 2011 John Wiley & Sons, Inc.

Project Scheduling

• Steps• Define activities• Sequence activities• Estimate time• Develop schedule

• Techniques• Gantt chart• CPM/PERT

• Software• Microsoft Project

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Copyright 2011 John Wiley & Sons, Inc.

Gantt Chart

• Graph or bar chart • Bars represent the time for each task• Bars also indicate status of tasks• Provides visual display of project schedule

• Slack• amount of time an activity can be delayed without

delaying the project

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Copyright 2011 John Wiley & Sons, Inc.

Example of Gantt Chart

9-16

| | | | |Activity

Design house and obtain financing

Lay foundation

Order and receive materials

Build house

Select paint

Select carpet

Finish work

0 2 4 6 8 10Month

Month1 3 5 7 9

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Copyright 2011 John Wiley & Sons, Inc.

Project Control

• Time management• Cost management• Performance management

• Earned Value Analysis – standard procedure to• numerically measure a project’s progress• forecast its completion date and cost • measure schedule and budget variation

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Copyright 2011 John Wiley & Sons, Inc.

Project Control

• Quality management• Communication• Enterprise project management

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Copyright 2011 John Wiley & Sons, Inc.

CPM/PERT

• Critical Path Method (CPM)• DuPont & Remington-Rand• Deterministic task times• Activity-on-node network construction

• Project Evaluation and Review Technique (PERT)• US Navy and Booz, Allen & Hamilton• Probabilistic task time estimates • Activity-on-arrow network construction

9-19

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Copyright 2011 John Wiley & Sons, Inc.

Project Network

• Activity-on-node (AON)• nodes represent activities• arrows show precedence

relationships

• Activity-on-arrow (AOA)• arrows represent activities• nodes are events for

points in time

• Event• completion or beginning

of an activity in a project

9-20

1 32

Branch Node

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Copyright 2011 John Wiley & Sons, Inc.

AOA Project Network for a House

9-21

3

2 0

1

3

1 1

11 2 4 6 7

3

5

Lay foundation

Design house and obtain financing

Order and receive materials

Dummy

Finish work

Select carpet

Select paint

Build house

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Copyright 2011 John Wiley & Sons, Inc.

Concurrent Activities

• Dummy• two or more activities cannot share same start and

end nodes

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2 3

Lay foundation

Order material

(a) Incorrect precedence relationship

(b) Correct precedence relationship

3

42

DummyLay foundation

Order material

1

2 0

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Copyright 2011 John Wiley & Sons, Inc.

AON Network for House Building Project

9-23

13

22

43

31

51

61

71

Start

Design house and obtain financing

Order &receive materials

Select paint

Select carpet

Lay foundation

Build house

Finish work

Activity Number

Activity Time

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Critical Path

Copyright 2011 John Wiley & Sons, Inc. 9-24

Critical path Longest path through a

network Minimum project

completion time

A: 1-2-4-73 + 2 + 3 + 1 = 9 months

B: 1-2-5-6-73 + 2 + 1 + 1 + 1 = 8 months

C: 1-3-4-73 + 1 + 3 + 1 = 8 months

D: 1-3-5-6-73 + 1 + 1 + 1 + 1 = 7 months

13

22

43

31

51

61

71

Start

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Copyright 2011 John Wiley & Sons, Inc.

Activity Start Times

9-25

13

22

43

31

51

61

71

Start

Start at 3 months Start at 6 months

Start at 5 months

Finish at 9 months

Finish

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Node Configuration

9-26

1 0 3

3 0 3

Activityduration

Activitynumber

Earlieststart

Lateststart

Latest finish

Earliestfinish

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Copyright 2011 John Wiley & Sons, Inc.

Activity Scheduling

• Earliest start time (ES)• earliest time an activity can start • ES = maximum EF of immediate predecessors

• Forward pass• starts at beginning of CPM/PERT network to determine

earliest activity times

• Earliest finish time (EF)• earliest time an activity can finish• earliest start time plus activity time• EF= ES + t

9-27

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Copyright 2011 John Wiley & Sons, Inc.

Earliest Activity Start and Finish Times

9-28

1 0 3

1

2 3 5

2

3 3 4

1 5 5 6

1

4 5 8

3

6 6 7

1

7 8 9

1Start

Design house and obtain financing

Select paint

Lay foundation

Select carpet

Build house

Finish work

Order and receive materials

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Copyright 2011 John Wiley & Sons, Inc.

Activity Scheduling

• Latest start time (LS)• Latest time an activity can start without delaying critical

path time • LS= LF - t

• Latest finish time (LF)• latest time an activity can be completed without delaying

critical path time• LF = minimum LS of immediate predecessors

• Backward pass• Determines latest activity times by starting at the end of

CPM/PERT network and working forward

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Copyright 2011 John Wiley & Sons, Inc.

Latest Activity Start and Finish Times

9-30

0 3

1 0 3

1

3 5

2 3 5

2

4 5

3 3 4

1

6 7

5 5 6

1

5 8

4 5 8

3

6 7

6 6 7

1

8 9

7 8 9

1Start

Design house and obtain financing

Select paint

Lay foundation

Select carpet

Build house

Finish work

Order and receive materials

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Activity Slack

Copyright 2011 John Wiley & Sons, Inc. 9-31

* Critical Path

09988*7

178676

167565

08855*4

145343

05533*2

03300*1

Slack SEFLFESLSActivity

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Copyright 2011 John Wiley & Sons, Inc.

Probabilistic Time Estimates

• Beta distribution• probability distribution traditionally used in CPM/PERT

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a = optimistic estimatem = most likely time estimateb = pessimistic time estimate

where

Mean (expected time): t =a + 4m + b

6

Variance: 2 =

2b - a

6

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Copyright 2011 John Wiley & Sons, Inc.

Examples of Beta Distributions

9-33

P(t

ime)

P(t

ime)

P(t

ime)

Timea mt ba m t b

m = t

Time

Timeba

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Copyright 2011 John Wiley & Sons, Inc.

Project with Probabilistic Time Estimates

9-34

Finish23,6,9

31,3,5

16,8,10

52,3,4

63,4,5

42,4,12

72,2,2

83,7,11

92,4,6

10

1,4,7

11

1,10,13

Equipment installation

System development

Position recruiting

Equipment testing and modification

Manual testing

Job Training

Orientation

System training

System testing

Final debugging

System changeover

Start

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Copyright 2011 John Wiley & Sons, Inc.

Activity Time Estimates

9-35

1 6 8 10 8 0.44 2 3 6 9 6 1.00 3 1 3 5 3 0.44 4 2 4 12 5 2.78 5 2 3 4 3 0.11 6 3 4 5 4 0.11 7 2 2 2 2 0.00 8 3 7 11 7 1.78 9 2 4 6 4 0.4410 1 4 7 4 1.0011 1 10 13 9 4.00

TIME ESTIMATES (WKS) MEAN TIME VARIANCE

ACTIVITY a m b t б2

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Copyright 2011 John Wiley & Sons, Inc.

Activity Early, Late Times & Slack

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ACTIVITY t б ES EF LS LF S

1 8 0.44 0 8 1 9 1 2 6 1.00 0 6 0 6 0 3 3 0.44 0 3 2 5 2 4 5 2.78 8 13 16 21 8 5 3 0.11 6 9 6 9 0 6 4 0.11 3 7 5 9 2 7 2 0.00 3 5 14 16 11 8 7 1.78 9 16 9 16 0 9 4 0.44 9 13 12 16 310 4 1.00 13 17 21 25 811 9 4.00 16 25 16 25 0

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Earliest, Latest, and Slack

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1 0 8

8 1 9

3 0 3

3 2 5

4 8 13

5 16 21

6 3 7

4 5 9

7 3 5

2 14 16

9 9 13

4 12 16

10 13 17

1 0 3

2 0 6

6 0 6 5 6 9

3 6 9

8 9 16

7 9 16

11 16 25

9 16 25

Critical Path 2-5-8-11

FinishStart

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Copyright 2011 John Wiley & Sons, Inc.

Total Project Variance

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s 2 = б22 + б5

2 + б82 + б11

2

s = 1.00 + 0.11 + 1.78 + 4.00

= 6.89 weeks

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Copyright 2011 John Wiley & Sons, Inc.

CPM/PERT With OM Tools

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Copyright 2011 John Wiley & Sons, Inc.

Probabilistic Network Analysis

9-40

Determine probability that project is completed within specified time

where = tp = project mean time = project standard deviationx = proposed project timeZ = number of standard deviations that

x is from the mean

Z =x -

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Copyright 2011 John Wiley & Sons, Inc.

Normal Distribution of Project Time

9-41

= tp Timex

Z

Probability

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Copyright 2011 John Wiley & Sons, Inc.

Southern Textile

9-42

What is probability that project is completed within 30 weeks?

2 = 6.89 weeks

= 6.89

= 2.62 weeks

Z =

=

= 1.91

x -

30 - 252.62

From Table A.1, (appendix A) a Z score of 1.91 corresponds to a probability of 0.4719. Thus P(30) = 0.4719 + 0.5000 = 0.9719

= 25 Time (weeks)x = 30

P(x 30 weeks)

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Copyright 2011 John Wiley & Sons, Inc.

Southern Textile

9-43

What is probability that project is completed within 22 weeks?

2 = 6.89 weeks

= 6.89

= 2.62 weeks

Z =

=

= -1.14

x -

22 - 252.62

From Table A.1, (appendix A) a Z score of 1.14 corresponds to a probability of 0.3729. Thus P(22) = 0.5000 - 0.3729 = 0.1271

= 25 Time (weeks)x = 22

P(x 22 weeks)= 0.1271

0.3729

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Copyright 2011 John Wiley & Sons, Inc.

Microsoft Project

• Popular software package for project management and CPM/PERT analysis

• Relatively easy to use

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Copyright 2011 John Wiley & Sons, Inc.

Microsoft Project

9-45

Click on “Tasks”

First step; Start Date

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Copyright 2011 John Wiley & Sons, Inc.

Microsoft Project

9-46

Precedencerelationships

Click on “Format” then ”Timescale”to scale Gantt chart.

Gantt chart; click on “View”

to activateCreate precedencerelationships;

click on predecessoractivity, then

holding “Ctrl” Key,click on successor

activity.

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Copyright 2011 John Wiley & Sons, Inc.

Microsoft Project

9-47

Click on “View” then Network Diagram

Critical pathin red

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Microsoft Project – Zoom View

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Copyright 2011 John Wiley & Sons, Inc.

Microsoft Project – Task Information

9-49

Enter % completion

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Copyright 2011 John Wiley & Sons, Inc.

Microsoft Project – Degree of Completion

9-50

Activities 1, 2 and 3100% complete

Black bars showdegree of completion

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Copyright 2011 John Wiley & Sons, Inc.

PERT Analysis with Microsoft Project

9-51

Click on PERT EntrySheet to enter 3time estimates

Click on PERT calculator to compute

activity duration

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Copyright 2011 John Wiley & Sons, Inc.

PERT Analysis with Microsoft Project

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Copyright 2011 John Wiley & Sons, Inc.

PERT Analysis with Microsoft Project

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Project Crashing

• Crashing• reducing project time by expending additional

resources

• Crash time• an amount of time an activity is reduced

• Crash cost• cost of reducing activity time

• Goal• reduce project duration at minimum cost

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Project Network – Building a House

Copyright 2011 John Wiley & Sons, Inc. 9-55

112

28

412

34

54

64

74

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Normal Time and Costvs. Crash Time and Cost

9-56

$7,000 –

$6,000 –

$5,000 –

$4,000 –

$3,000 –

$2,000 –

$1,000 –

–| | | | | | |

0 2 4 6 8 10 12 14 Weeks

Normal activity

Normal time

Normal cost

Crash time

Crashed activity

Crash cost

Slope = crash cost per week

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Copyright 2011 John Wiley & Sons, Inc.

Project Crashing

9-57

TOTALNORMAL CRASH ALLOWABLE CRASH

TIME TIME NORMAL CRASH CRASH TIME COST PERACTIVITY (WEEKS) (WEEKS) COST COST (WEEKS) WEEK

1 12 7 $3,000 $5,000 5 $400

2 8 5 2,000 3,500 3 500

3 4 3 4,000 7,000 1 3,000

4 12 9 50,000 71,000 3 7,000

5 4 1 500 1,100 3 200

6 4 1 500 1,100 3 200

7 4 3 15,000 22,000 1 7,000

$75,000 $110,700

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Project Duration:36 weeks

112

28

34 5

4

64

74

$400

$500

$3000

$7000

$200$200

$700012

4 FROM …

17

28

34 5

4

64

74

$400

$500

$3000

$7000

$200$200

$700012

4

Project Duration:31 weeks

Additional Cost:$2000

TO…

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Copyright 2011 John Wiley & Sons, Inc.

Time-Cost Relationship

9-59

• Crashing costs increase as project duration decreases

• Indirect costs increase as project duration increases

• Reduce project length as long as crashing costs are less than indirect costs

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Copyright 2011 John Wiley & Sons, Inc.

Time-Cost Tradeoff

9-60

Cos

t ($)

Project duration

Crashing Time

Minimum cost = optimal project timeTotal project cost

Indirect cost

Direct cost

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Copyright 2011 John Wiley & Sons, Inc. 6-61

Copyright 2011 John Wiley & Sons, Inc.All rights reserved. Reproduction or translation of this work beyond that permitted in section 117 of the 1976 United States Copyright Act without express permission of the copyright owner is unlawful. Request for further information should be addressed to the Permission Department, John Wiley & Sons, Inc. The purchaser may make back-up copies for his/her own use only and not for distribution or resale. The Publisher assumes no responsibility for errors, omissions, or damages caused by the use of these programs or from the use of the information herein.