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Critical Path Method

Critical Path Method. Farrokh Alemi, Ph.D. Purpose of CPM. Finish fast Quantify progress Communicate effectively. Advantages and Disadvantages of Formal Schedules. Saves time and money on large complex projects Effective communication tool Too much work Assessment of duration of tasks

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Critical Path Method

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  1. Critical Path Method Farrokh Alemi, Ph.D.

  2. Purpose of CPM • Finish fast • Quantify progress • Communicate effectively

  3. Advantages and Disadvantages of Formal Schedules • Saves time and money on large complex projects • Effective communication tool • Too much work • Assessment of duration of tasks • Assessment of interdependencies

  4. Resource Oriented and Time Oriented Schedules • Resource oriented • Time oriented

  5. Elements of a Critical Path Chart • Activity • Precedence • Duration/cost

  6. Elements of a Critical Path Chart • Activity • Precedence • Duration/cost

  7. Elements of a Critical Path Chart • Activity • Precedence • Duration/cost

  8. Elements of a Critical Path Chart • Activity • Precedence • Duration/cost

  9. Elements of a Critical Path Chart • Activity • Precedence • Duration/cost

  10. Elements of a Critical Path Chart • Activity • Precedence • Duration/cost

  11. Branch and Node Charts • Activity on branch • Activity on node

  12. Activity In Node A E G B F C D

  13. Activity On Branches A B E F G 1 5 6 7 End 3 Start C D 2 4

  14. Earliest and Latest Start and Finish Times A 2 3 E 2 4 G 3 End B F Start C 1 D 1

  15. Earliest and Latest Start and Finish Times Forward pass calculates early start and finish A 2 3 E 2 4 G 3 End B F Start C 1 D 1

  16. Earliest and Latest Start and Finish Times Backward pass calculates latest start and end times A 2 3 E 2 4 G 3 End B F Start C 1 D 1

  17. Earliest and Latest Start and Finish Times Critical Path includes activities where earliest start time and latest finish time are equal A 2 3 E 2 4 G 3 End B F Start C 1 D 1

  18. Earliest and Latest Start and Finish Times Activities not on the critical path have “slack.” The latest finish time and the earliest start date are different A 2 3 E 2 4 G 3 End B F Start C 1 D 1

  19. Earliest and Latest Start and Finish Times A 2 3 E 2 4 G 3 End B F Start C 1 D 1

  20. Earliest and Latest Start and Finish Times A 2 3 E 2 4 G 3 End B F Start C 1 D 1

  21. Earliest and Latest Start and Finish Times A 2 3 E 2 4 G 3 End B F Start C 1 D 1

  22. Earliest and Latest Start and Finish Times A 2 3 E 2 4 G 3 End B F Start C 1 D 1

  23. Earliest and Latest Start and Finish Times A 2 3 E 2 4 G 3 End B F Start C 1 D 1

  24. Earliest and Latest Start and Finish Times A 2 3 E 2 4 G 3 End B F Start C 1 D 1

  25. Earliest and Latest Start and Finish Times A 2 3 E 2 4 G 3 End B F Start C 1 D 1

  26. Earliest and Latest Start and Finish Times A 2 3 E 2 4 G 3 End B F Start C 1 D 1 Latest finish is the minimum of latest start of succeeding tasks. Latest start is the latest finish minus duration.

  27. Earliest and Latest Start and Finish Times A 2 3 E 2 4 G 3 End B F Start C 1 D 1 Latest finish is the minimum of latest start of succeeding tasks. Latest start is the latest finish minus duration.

  28. Earliest and Latest Start and Finish Times A 2 3 E 2 4 G 3 End B F Start C 1 D 1

  29. Earliest and Latest Start and Finish Times A 2 3 E 2 4 G 3 End B F Start C 1 D 1

  30. Slack Time A 2 3 E 2 4 G 3 End B F Start C 1 D 1 Slack time = Latest start – Earliest start

  31. Critical Path A 2 3 E 2 4 G 3 End B F Start C 1 D 1 Critical path includes activities with no slack.

  32. Communicating Project Schedule • Time scaled network of activities • Gantt chart • Time an activity graphs and completion graphs

  33. Communicating Project Schedule • Time scaled network of activities • Gantt chart • Time an activity graphs and completion graphs

  34. Communicating Project Schedule • Time scaled network of activities • Gantt chart • Time an activity graphs and completion graphs

  35. Activity Splitting A E G B F C D

  36. Activity Splitting A E G B F C D

  37. Activity Splitting A E G B F1 C D F2

  38. Software • Discovery of Critical Path

  39. Crashing Schedules • Cost time tradeoff • Order of crashing

  40. Take Home Lesson The critical path includes activities with no slack

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