MS11 SM10 - Chapter 10 Project Scheduling: PERT/CPM...

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Chapter 10 Project Scheduling: PERT/CPM Learning Objectives 1. Understand the role and application of PERT/CPM for project scheduling. 2. Learn how to define a project in terms of activities such that a network can be used to describe the project. 3. Know how to compute the critical path and the project completion time. 4. Know how to convert optimistic, most probable, and pessimistic time estimates into expected activity time estimates. 5. With uncertain activity times, be able to compute the probability of the project being completed by a specific time. 6. Understand the concept and need for crashing. 7. Be able to formulate the crashing problem as a linear programming model. 8. Learn how to schedule and control project costs with PERT/Cost. 9. Understand the following terms: network beta distribution PERT/CPM path activities critical path event critical activities optimistic time slack most probable time crashing pessimistic time Solutions: 10 - 1
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Chapter 10 1. A Finish Start B C D E F G H 2. A B C Finish Start D E F G H I J 3. A B C Finish Start D E F G 4. a. 10 - 2
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A 4 4 4 0 0 B 6 6 7 0 1 C 2 6 7 4 5 D 6 10 10 4 4 E 3 9 10 6 7 F 3 9 15 6 12 G 5 15 15 10 10 Finish Start Completion Time = 15 Critical Path: A-D-G b. The critical path activities require 15 months to complete. Thus the project should be completed in 1-1/2 years. 5. A B Finish Start F C E D G H I J 6. A 5 5 5 0 0 B 3 3 4 0 1 D 6 11 11 5 5 C 7 12 14 5 7 F 3 14 14 11 11 G 10 21 22 11 12 H 8 22 22 14 14 Finish Start Completion Time = 22 E 7 10 11 3 4 a. Critical path: A-D-F-H b. 22 weeks c. No, it is a critical activity 10 - 3
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Chapter 10 d. Yes, 2 weeks e. Schedule for activity E: Earliest Start 3 Latest Start 4 Earliest Finish 10 Latest Finish 11 7. a. A B Finish Start F C E D H G b. B-D-E-F-H c. 21 weeks Activity Earliest Start Latest Start Earliest Finish Latest Finish Slack Critical Activity A 0 1 3 4 1 B 0 0 6 6 0 Yes C 3 4 5 6 1 D 6 6 11 11 0 Yes E 11 11 15 15 0 Yes F 15 15 18 18 0 Yes G 6 9 15 18 3 H 18 18 21 21 0 Yes 8. a. A B Finish Start F G C E D H b. B-C-E-F-H 10 - 4
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Activity Earliest Start Latest Start Earliest Finish Latest Finish Slack Critical Activity A 0 2 6 8 2 B 0 0 8 8 0 Yes C 8 8 20 20 0 Yes D 20 22 24 26 2 E 20 20 26 26 0 Yes F 26 26 41 41 0 Yes G 26 29 38 41 3 H 41 41 49 49 0 Yes d. Yes. Project Completion Time 49 weeks. 9. a. A-C-E-H-I b. Activity Earliest Start Latest Start Earliest Finish Latest Finish Slack Critical Activity A 0 0 9 9 0 Yes B 0 9 6 15 9 C 9 9 15 15 0 Yes D 9 12 12 15 3 E 15 15 15 15 0 Yes F 15 16 18 19 1 G 18 19 20 21 1 H 15 15 21 21 0 Yes I 21 21 24 24 0 Yes c. Project completion 24 weeks. The park can open within the 6 months (26 weeks) after the project is started. 10.
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MS11 SM10 - Chapter 10 Project Scheduling: PERT/CPM...

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