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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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