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

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Presentation on theme: "Irwin/McGraw-Hill © The McGraw-Hill Companies, Inc., 1999 PROJECT MANAGEMENT 18-1 Project Management."— Presentation transcript:

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

2 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)

3 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. Event 1 Event 2 Event 3 Activity AActivity B

4 Irwin/McGraw-Hill © The McGraw-Hill Companies, Inc., 1999 PROJECT MANAGEMENT 18-4 How many paths are in this network? Event 5 Event 1 Event 3 Event 2 Event 4 Event 6 A (5) B (2) D (2) E (3) F (1) G (4) H (2) C (3)

5 Irwin/McGraw-Hill © The McGraw-Hill Companies, Inc., 1999 PROJECT MANAGEMENT 18-5 Event 5 Event 1 Event 3 Event 2 Event 4 Event 6 1-2-5-6 A (5) C (3) B (2) D (2) E (3) F (1) G (4) H (2)

6 Irwin/McGraw-Hill © The McGraw-Hill Companies, Inc., 1999 PROJECT MANAGEMENT 18-6 Event 5 Event 1 Event 3 Event 2 Event 4 Event 6 A (5) C (3) B (2) D (2) E (3) F (1) G (4) H (2)

7 Irwin/McGraw-Hill © The McGraw-Hill Companies, Inc., 1999 PROJECT MANAGEMENT 18-7 Event 5 Event 1 Event 3 Event 2 Event 4 Event 6 A (5) C (3) B (2) D (2) E (3) F (1) G (4) H (2) 1-2-4-6

8 Irwin/McGraw-Hill © The McGraw-Hill Companies, Inc., 1999 PROJECT MANAGEMENT 18-8 Event 5 Event 1 Event 3 Event 2 Event 4 Event 6 A (5) C (3) B (2) D (2) E (3) F (1) G (4) H (2) 1-3-4-5-6

9 Irwin/McGraw-Hill © The McGraw-Hill Companies, Inc., 1999 PROJECT MANAGEMENT 18-9 Event 5 Event 1 Event 3 Event 2 Event 4 Event 6 A (5) C (3) B (2) D (2) E (3) F (1) G (4) H (2) 1-3-4-6

10 Irwin/McGraw-Hill © The McGraw-Hill Companies, Inc., 1999 PROJECT MANAGEMENT 18-10 Event 5 Event 1 Event 3 Event 2 Event 4 Event 6 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)

11 Irwin/McGraw-Hill © The McGraw-Hill Companies, Inc., 1999 PROJECT MANAGEMENT 18-11 Critical Activities - activities on the critical path Event 5 Event 1 Event 3 Event 2 Event 4 Event 6 A (5) C (3) B (2) D (2) E (3) F (1) G (4) H (2) A-D-G

12 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.

13 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

14 Irwin/McGraw-Hill © The McGraw-Hill Companies, Inc., 1999 PROJECT MANAGEMENT 18-14 Algorithm Formulas EF = ES + t ES EF t

15 Irwin/McGraw-Hill © The McGraw-Hill Companies, Inc., 1999 PROJECT MANAGEMENT 18-15 2 1 4 56 3 1 8 9 6 3 11 4

16 Irwin/McGraw-Hill © The McGraw-Hill Companies, Inc., 1999 PROJECT MANAGEMENT 18-16 Example 2 2 1 4 56 3 1 8 0 9 6 11 4 0

17 Irwin/McGraw-Hill © The McGraw-Hill Companies, Inc., 1999 PROJECT MANAGEMENT 18-17 2 1 4 56 3 1 8 8 0 9 6 11 4 4 0

18 Irwin/McGraw-Hill © The McGraw-Hill Companies, Inc., 1999 PROJECT MANAGEMENT 18-18 Example 2 2 1 4 56 3 1 8 8 0 9 4 6 8 11 8 4 4 0

19 Irwin/McGraw-Hill © The McGraw-Hill Companies, Inc., 1999 PROJECT MANAGEMENT 18-19 2 1 4 56 3 1 8 8 0 9 13 4 6 14 8 11 19 8 4 4 0

20 Irwin/McGraw-Hill © The McGraw-Hill Companies, Inc., 1999 PROJECT MANAGEMENT 18-20 Example 2 2 1 4 56 3 1 8 8 0 9 13 4 6 14 8 3 11 19 8 4 10 6 4 0

21 Irwin/McGraw-Hill © The McGraw-Hill Companies, Inc., 1999 PROJECT MANAGEMENT 18-21 2 1 4 56 3 1 8 8 0 9 13 4 6 14 8 3 17 14 11 19 8 4 10 6 4 0

22 Irwin/McGraw-Hill © The McGraw-Hill Companies, Inc., 1999 PROJECT MANAGEMENT 18-22 2 1 4 56 3 1 8 8 0 9 13 4 6 14 8 3 17 14 11 19 8 4 4 0

23 Irwin/McGraw-Hill © The McGraw-Hill Companies, Inc., 1999 PROJECT MANAGEMENT 18-23 2 1 4 56 3 1 8 8 0 9 13 4 6 14 8 3 17 14 11 19 8 4 4 0

24 Irwin/McGraw-Hill © The McGraw-Hill Companies, Inc., 1999 PROJECT MANAGEMENT 18-24 2 1 4 56 3 1 8 8 0 9 13 4 6 14 8 3 17 14 11 19 8 4 4 0 20

25 Irwin/McGraw-Hill © The McGraw-Hill Companies, Inc., 1999 PROJECT MANAGEMENT 18-25 Algorithm Formulas EF = ES + t LS = LF - t ES EF t LS LF

26 Irwin/McGraw-Hill © The McGraw-Hill Companies, Inc., 1999 PROJECT MANAGEMENT 18-26 2 1 4 56 3 1 20 19 8 8 0 9 13 4 6 14 8 3 17 14 11 19 8 4 4 0

27 Irwin/McGraw-Hill © The McGraw-Hill Companies, Inc., 1999 PROJECT MANAGEMENT 18-27 2 1 4 56 3 1 20 19 8 8 0 9 13 4 6 14 8 3 17 14 11 19 8 4 4 0

28 Irwin/McGraw-Hill © The McGraw-Hill Companies, Inc., 1999 PROJECT MANAGEMENT 18-28 2 1 4 56 3 1 20 19 8 8 0 9 13 4 6 14 8 3 19 17 14 11 19 8 4 4 0

29 Irwin/McGraw-Hill © The McGraw-Hill Companies, Inc., 1999 PROJECT MANAGEMENT 18-29 2 1 4 56 3 1 20 19 8 8 0 9 10 13 4 6 14 8 3 19 17 16 14 11 19 8 8 4 4 0

30 Irwin/McGraw-Hill © The McGraw-Hill Companies, Inc., 1999 PROJECT MANAGEMENT 18-30 2 1 4 56 3 1 20 19 8 8 0 9 10 13 4 6 16 14 8 3 19 17 16 14 11 19 8 8 4 10 4 0

31 Irwin/McGraw-Hill © The McGraw-Hill Companies, Inc., 1999 PROJECT MANAGEMENT 18-31 2 1 4 56 3 1 20 19 8 8 0 9 10 13 4 6 16 14 10 8 3 19 17 16 14 11 19 8 8 4 10 6 4 0

32 Irwin/McGraw-Hill © The McGraw-Hill Companies, Inc., 1999 PROJECT MANAGEMENT 18-32 2 1 4 56 3 1 20 19 8 8 0 9 10 13 4 6 16 14 10 8 3 19 17 16 14 11 19 8 8 4 10 6 4 0

33 Irwin/McGraw-Hill © The McGraw-Hill Companies, Inc., 1999 PROJECT MANAGEMENT 18-33 2 1 4 56 3 1 20 19 8 8 0 9 10 13 4 6 16 14 10 8 3 19 17 16 14 11 19 8 8 4 10 6 4 0 8

34 Irwin/McGraw-Hill © The McGraw-Hill Companies, Inc., 1999 PROJECT MANAGEMENT 18-34 2 1 4 56 3 1 20 19 8 8 0 9 10 13 4 6 16 14 10 8 3 19 17 16 14 11 19 8 8 4 10 6 4 0 8 0

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