Irwin/McGraw-Hill © The McGraw-Hill Companies, Inc., 1999 PROJECT MANAGEMENT 18-1 Project...

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Irwin/McGraw-Hill © The McGraw-Hill Companies, Inc., 1999 PROJECT MANAGEMENT 18-1 Project Management

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Page 1: Irwin/McGraw-Hill © The McGraw-Hill Companies, Inc., 1999 PROJECT MANAGEMENT 18-1 Project Management.

Irwin/McGraw-Hill © The McGraw-Hill Companies, Inc., 1999

PROJECT MANAGEMENT

18-1

Project Management

Page 2: Irwin/McGraw-Hill © The McGraw-Hill Companies, Inc., 1999 PROJECT MANAGEMENT 18-1 Project Management.

Irwin/McGraw-Hill © The McGraw-Hill Companies, Inc., 1999

PROJECT MANAGEMENT

18-2

Definitions• Activity-on-Node (A-O-N) - Network

diagram convention in which nodes designate activities

• Activity-on-Arrow (A-O-A) - Network diagram convention in which arrows designate activities

Activity

(arrow)

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Irwin/McGraw-Hill © The McGraw-Hill Companies, Inc., 1999

PROJECT MANAGEMENT

18-3

Definitions• Path - a sequence of activities that

leads from the starting node to the finishing node.

Event1

Event2

Event3

Activity A Activity B

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Irwin/McGraw-Hill © The McGraw-Hill Companies, Inc., 1999

PROJECT MANAGEMENT

18-4

How many paths are in this network?

Event5

Event1

Event3

Event2

Event4

Event6

A(5)

B(2)

D(2)

E(3)

F(1)

G(4)

H(2)

C(3)

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Irwin/McGraw-Hill © The McGraw-Hill Companies, Inc., 1999

PROJECT MANAGEMENT

18-5

Event5

Event1

Event3

Event2

Event4

Event6

1-2-5-6

A(5)

C(3)

B(2)

D(2)

E(3)

F(1)

G(4)

H(2)

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Irwin/McGraw-Hill © The McGraw-Hill Companies, Inc., 1999

PROJECT MANAGEMENT

18-6

Event5

Event1

Event3

Event2

Event4

Event6

A(5)

C(3)

B(2)

D(2)

E(3)

F(1)

G(4)

H(2)

Page 7: Irwin/McGraw-Hill © The McGraw-Hill Companies, Inc., 1999 PROJECT MANAGEMENT 18-1 Project Management.

Irwin/McGraw-Hill © The McGraw-Hill Companies, Inc., 1999

PROJECT MANAGEMENT

18-7

Event5

Event1

Event3

Event2

Event4

Event6

A(5)

C(3)

B(2)

D(2)

E(3)

F(1)

G(4)

H(2)

1-2-4-6

Page 8: Irwin/McGraw-Hill © The McGraw-Hill Companies, Inc., 1999 PROJECT MANAGEMENT 18-1 Project Management.

Irwin/McGraw-Hill © The McGraw-Hill Companies, Inc., 1999

PROJECT MANAGEMENT

18-8

Event5

Event1

Event3

Event2

Event4

Event6

A(5)

C(3)

B(2)

D(2)

E(3)

F(1)

G(4)

H(2)

1-3-4-5-6

Page 9: Irwin/McGraw-Hill © The McGraw-Hill Companies, Inc., 1999 PROJECT MANAGEMENT 18-1 Project Management.

Irwin/McGraw-Hill © The McGraw-Hill Companies, Inc., 1999

PROJECT MANAGEMENT

18-9

Event5

Event1

Event3

Event2

Event4

Event6

A(5)

C(3)

B(2)

D(2)

E(3)

F(1)

G(4)

H(2)

1-3-4-6

Page 10: Irwin/McGraw-Hill © The McGraw-Hill Companies, Inc., 1999 PROJECT MANAGEMENT 18-1 Project Management.

Irwin/McGraw-Hill © The McGraw-Hill Companies, Inc., 1999

PROJECT MANAGEMENT

18-10

Event5

Event1

Event3

Event2

Event4

Event6

Critical Path - The longest path - determines the project duration.

A(5)

C(3)

B(2)

D(2)

E(3)

F(1)

G(4)

H(2)

1-2-5-6 (10)1-2-4-5-6 (10)1-2-4-6 (11)1-3-4-6 (9)1-3-4-5-6 (8)

Page 11: Irwin/McGraw-Hill © The McGraw-Hill Companies, Inc., 1999 PROJECT MANAGEMENT 18-1 Project Management.

Irwin/McGraw-Hill © The McGraw-Hill Companies, Inc., 1999

PROJECT MANAGEMENT

18-11

Critical Activities - activities on the critical path

Event5

Event1

Event3

Event2

Event4

Event6

A(5)

C(3)

B(2)

D(2)

E(3)

F(1)

G(4)

H(2)

A-D-G

Page 12: Irwin/McGraw-Hill © The McGraw-Hill Companies, Inc., 1999 PROJECT MANAGEMENT 18-1 Project Management.

Irwin/McGraw-Hill © The McGraw-Hill Companies, Inc., 1999

PROJECT MANAGEMENT

18-12

Definitions• Slack - Allowable slippage for a path;

the difference between the length of a path and the length of the critical path.

Page 13: Irwin/McGraw-Hill © The McGraw-Hill Companies, Inc., 1999 PROJECT MANAGEMENT 18-1 Project Management.

Irwin/McGraw-Hill © The McGraw-Hill Companies, Inc., 1999

PROJECT MANAGEMENT

18-13

Algorithm Definitions• Earliest Start (ES) - the earliest time an activity

can start, assuming all preceding activities start as early as possible

• Earliest Finish (EF) - the earliest time an activity can finish

• Latest Start (LS) - the latest time the activity can start and not delay the project

• Latest Finish (LF) - the latest time the activity can finish and not delay the project

Page 14: Irwin/McGraw-Hill © The McGraw-Hill Companies, Inc., 1999 PROJECT MANAGEMENT 18-1 Project Management.

Irwin/McGraw-Hill © The McGraw-Hill Companies, Inc., 1999

PROJECT MANAGEMENT

18-14

Algorithm Formulas

EF = ES + t

ES EFt

Page 15: Irwin/McGraw-Hill © The McGraw-Hill Companies, Inc., 1999 PROJECT MANAGEMENT 18-1 Project Management.

Irwin/McGraw-Hill © The McGraw-Hill Companies, Inc., 1999

PROJECT MANAGEMENT

18-15

2

1

4

5 6

3

1

8

9

6

311

4

Page 16: Irwin/McGraw-Hill © The McGraw-Hill Companies, Inc., 1999 PROJECT MANAGEMENT 18-1 Project Management.

Irwin/McGraw-Hill © The McGraw-Hill Companies, Inc., 1999

PROJECT MANAGEMENT

18-16

Example 2

2

1

4

5 6

3

1

80

9

6

11

4

0

Page 17: Irwin/McGraw-Hill © The McGraw-Hill Companies, Inc., 1999 PROJECT MANAGEMENT 18-1 Project Management.

Irwin/McGraw-Hill © The McGraw-Hill Companies, Inc., 1999

PROJECT MANAGEMENT

18-17

2

1

4

5 6

3

1

88

0

9

6

11

4

4

0

Page 18: Irwin/McGraw-Hill © The McGraw-Hill Companies, Inc., 1999 PROJECT MANAGEMENT 18-1 Project Management.

Irwin/McGraw-Hill © The McGraw-Hill Companies, Inc., 1999

PROJECT MANAGEMENT

18-18

Example 2

2

1

4

5 6

3

1

88

0

9

4

6 8

118

4

4

0

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Irwin/McGraw-Hill © The McGraw-Hill Companies, Inc., 1999

PROJECT MANAGEMENT

18-19

2

1

4

5 6

3

1

88

0

9

13

4

6 14 8

11

19

8

4

4

0

Page 20: Irwin/McGraw-Hill © The McGraw-Hill Companies, Inc., 1999 PROJECT MANAGEMENT 18-1 Project Management.

Irwin/McGraw-Hill © The McGraw-Hill Companies, Inc., 1999

PROJECT MANAGEMENT

18-20

Example 2

2

1

4

5 6

3

1

88

0

9

13

4

6 14 8

314

11

19

8

4

10

6

4

0

Page 21: Irwin/McGraw-Hill © The McGraw-Hill Companies, Inc., 1999 PROJECT MANAGEMENT 18-1 Project Management.

Irwin/McGraw-Hill © The McGraw-Hill Companies, Inc., 1999

PROJECT MANAGEMENT

18-21

2

1

4

5 6

3

1

88

0

9

13

4

6 14 8

317

1411

19

8

4

10

6

4

0

Page 22: Irwin/McGraw-Hill © The McGraw-Hill Companies, Inc., 1999 PROJECT MANAGEMENT 18-1 Project Management.

Irwin/McGraw-Hill © The McGraw-Hill Companies, Inc., 1999

PROJECT MANAGEMENT

18-22

2

1

4

5 6

3

1

88

0

9

13

4

6 14 8

317

1411

19

8

4

4

0

Page 23: Irwin/McGraw-Hill © The McGraw-Hill Companies, Inc., 1999 PROJECT MANAGEMENT 18-1 Project Management.

Irwin/McGraw-Hill © The McGraw-Hill Companies, Inc., 1999

PROJECT MANAGEMENT

18-23

2

1

4

5 6

3

1

88

0

9

13

4

6 14 8

317

1411

19

8

4

4

019

Page 24: Irwin/McGraw-Hill © The McGraw-Hill Companies, Inc., 1999 PROJECT MANAGEMENT 18-1 Project Management.

Irwin/McGraw-Hill © The McGraw-Hill Companies, Inc., 1999

PROJECT MANAGEMENT

18-24

2

1

4

5 6

3

1

88

0

9

13

4

6 14 8

317

1411

19

8

4

4

019 20

Page 25: Irwin/McGraw-Hill © The McGraw-Hill Companies, Inc., 1999 PROJECT MANAGEMENT 18-1 Project Management.

Irwin/McGraw-Hill © The McGraw-Hill Companies, Inc., 1999

PROJECT MANAGEMENT

18-25

Algorithm Formulas

EF = ES + tLS = LF - t

ES EFt

LS LF

Page 26: Irwin/McGraw-Hill © The McGraw-Hill Companies, Inc., 1999 PROJECT MANAGEMENT 18-1 Project Management.

Irwin/McGraw-Hill © The McGraw-Hill Companies, Inc., 1999

PROJECT MANAGEMENT

18-26

2

1

4

5 6

3

1

20

2019

88

0

9

13

4

6 14 8

317

1411

19

8

4

4

0

Page 27: Irwin/McGraw-Hill © The McGraw-Hill Companies, Inc., 1999 PROJECT MANAGEMENT 18-1 Project Management.

Irwin/McGraw-Hill © The McGraw-Hill Companies, Inc., 1999

PROJECT MANAGEMENT

18-27

2

1

4

5 6

3

1

20

20

19

19

88

0

9

13

4

6 14 8

317

1411

19

8

4

4

0

Page 28: Irwin/McGraw-Hill © The McGraw-Hill Companies, Inc., 1999 PROJECT MANAGEMENT 18-1 Project Management.

Irwin/McGraw-Hill © The McGraw-Hill Companies, Inc., 1999

PROJECT MANAGEMENT

18-28

2

1

4

5 6

3

1

20

20

19

19

88

0

9 19

13

4

6 14 8

3

1917

1411

1919

8

4

4

0

Page 29: Irwin/McGraw-Hill © The McGraw-Hill Companies, Inc., 1999 PROJECT MANAGEMENT 18-1 Project Management.

Irwin/McGraw-Hill © The McGraw-Hill Companies, Inc., 1999

PROJECT MANAGEMENT

18-29

2

1

4

5 6

3

1

20

20

19

19

88

0

9 19

1013

4

6 14 8

3

19171614

11

1919

88

4

4

0

Page 30: Irwin/McGraw-Hill © The McGraw-Hill Companies, Inc., 1999 PROJECT MANAGEMENT 18-1 Project Management.

Irwin/McGraw-Hill © The McGraw-Hill Companies, Inc., 1999

PROJECT MANAGEMENT

18-30

2

1

4

5 6

3

1

20

20

19

19

88

0

9 19

1013

4

6

16

14 8

3

19171614

11

1919

88

4

104

0

Page 31: Irwin/McGraw-Hill © The McGraw-Hill Companies, Inc., 1999 PROJECT MANAGEMENT 18-1 Project Management.

Irwin/McGraw-Hill © The McGraw-Hill Companies, Inc., 1999

PROJECT MANAGEMENT

18-31

2

1

4

5 6

3

1

20

20

19

19

88

0

9 19

1013

4

6

16

14

10

8

3

19171614

11

1919

88

4

10

6

4

0

Page 32: Irwin/McGraw-Hill © The McGraw-Hill Companies, Inc., 1999 PROJECT MANAGEMENT 18-1 Project Management.

Irwin/McGraw-Hill © The McGraw-Hill Companies, Inc., 1999

PROJECT MANAGEMENT

18-32

2

1

4

5 6

3

1

20

20

19

19

88

0

9 19

1013

4

6

16

14

10

8

3

19171614

11

1919

88

4

10

6

4

0

Page 33: Irwin/McGraw-Hill © The McGraw-Hill Companies, Inc., 1999 PROJECT MANAGEMENT 18-1 Project Management.

Irwin/McGraw-Hill © The McGraw-Hill Companies, Inc., 1999

PROJECT MANAGEMENT

18-33

2

1

4

5 6

3

1

20

20

19

19

88

0

9 19

1013

4

6

16

14

10

8

3

19171614

11

1919

88

4

10

6

4

0

8

Page 34: Irwin/McGraw-Hill © The McGraw-Hill Companies, Inc., 1999 PROJECT MANAGEMENT 18-1 Project Management.

Irwin/McGraw-Hill © The McGraw-Hill Companies, Inc., 1999

PROJECT MANAGEMENT

18-34

2

1

4

5 6

3

1

20

20

19

19

88

0

9 19

1013

4

6

16

14

10

8

3

19171614

11

1919

88

4

10

6

4

0

8

0


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