1. Chapter 8 Scheduling © 2012 John Wiley & Sons Inc.

2. 8-2 Useful Abbreviations CPM - Critical Path Method PERT - Program Evaluation and Review Technique

3. 8-3 Network Scheduling Advantage Consistent framework Shows interdependences Shows when resources are needed Ensures proper communication Determines expected completion date Identifies critical activities

4. 8-4 Network Scheduling Advantage Continued Shows which of the activities can be delayed Determines start dates Shows which task must be coordinated Shows which task can be run parallel Relieves some conflict Allows probabilistic estimates

5. 8-5 Network Scheduling Techniques: PERT (ADM) and CPM (PDM) PERT was developed for the Polaris missile/submarine project in 1958 CPM developed by DuPont during the same time Initially, CPM and PERT were two different approaches – CPM used deterministic time estimates and allowed project crunching – PERT used probabilistic time estimates Microsoft Project (and others) have blended CPM and PERT into one approach

6. 8-6 Terminology Activity - A specific task or set of tasks that are required by the project, use up resources, and take time to complete Event - The result of completing one or more activities Network - The combination of all activities and events that define a project – Drawn left-to-right – Connections represent predecessors

7. 8-7 Terminology Continued Path - A series of connected activities Critical - An activity, event, or path which, if delayed, will delay the completion of the project Critical Path - The path through the project where, if any activity is delayed, the project is delayed – There is always a critical path – There can be more than one critical path

8. 8-8 Terminology Continued Sequential Activities - One activity must be completed before the next one can begin Parallel Activities - The activities can take place at the same time Immediate Predecessor - That activity that must be completed just before a particular activity can begin

9. 8-9 Terminology Continued Activity on Arrow - Arrows represent activities while nodes stand for events Activity on Node - Nodes stand for events and arrows show precedence

10. 8-10 AON and AOA Format Figure 8-3 Figure 8-2

11. 8-11 Constructing the Network Begin with START activity Add activities without precedences as nodes – There will always be one – May be more Add activities that have those activities as precedences Continue

12. 8-12 Solving the Network Table 8-1

13. 8-13 The AON Network from the previous table Figure 8-13

14. 8-14 Calculating Activity Times Beta Distribution

15. 8-15 The Results Table 8-2

16. 8-16 Critical Path and Time Figure 8-15

17. 8-17 Critical Path and Time Continued Figure 8-16

18. 8-18 Slack Figure 8-16

19. 8-19 Slack Values Table 8-3

20. 8-20 Precedence Diagramming Finish to start Start to start Finish to finish Start to finish

21. 8-21 Precedence Diagramming Conventions Figure 8-17

22. 8-22 Microsoft Projects Table 8-4

23. 8-23 Gantt Chart Figure 8-18

24. 8-24 AON Network Figure 8-19

25. 8-25 Microsoft Project Calendar Figure 8-23

26. 8-26 Uncertainty of Project Completion Time Assume activities are statistically independent Variance of a set of activities is the sum of the individual variances Interested in variances along the critical path

27. 8-27 Example