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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 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 • Assessment of interdependencies
Resource Oriented and Time Oriented Schedules • Resource oriented • Time oriented
Elements of a Critical Path Chart • Activity • Precedence • Duration/cost
Elements of a Critical Path Chart • Activity • Precedence • Duration/cost
Elements of a Critical Path Chart • Activity • Precedence • Duration/cost
Elements of a Critical Path Chart • Activity • Precedence • Duration/cost
Elements of a Critical Path Chart • Activity • Precedence • Duration/cost
Elements of a Critical Path Chart • Activity • Precedence • Duration/cost
Branch and Node Charts • Activity on branch • Activity on node
Activity In Node A E G B F C D
Activity On Branches A B E F G 1 5 6 7 End 3 Start C D 2 4
Earliest and Latest Start and Finish Times A 2 3 E 2 4 G 3 End B F Start C 1 D 1
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
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
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
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
Earliest and Latest Start and Finish Times A 2 3 E 2 4 G 3 End B F Start C 1 D 1
Earliest and Latest Start and Finish Times A 2 3 E 2 4 G 3 End B F Start C 1 D 1
Earliest and Latest Start and Finish Times A 2 3 E 2 4 G 3 End B F Start C 1 D 1
Earliest and Latest Start and Finish Times A 2 3 E 2 4 G 3 End B F Start C 1 D 1
Earliest and Latest Start and Finish Times A 2 3 E 2 4 G 3 End B F Start C 1 D 1
Earliest and Latest Start and Finish Times A 2 3 E 2 4 G 3 End B F Start C 1 D 1
Earliest and Latest Start and Finish Times A 2 3 E 2 4 G 3 End B F Start C 1 D 1
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.
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.
Earliest and Latest Start and Finish Times A 2 3 E 2 4 G 3 End B F Start C 1 D 1
Earliest and Latest Start and Finish Times A 2 3 E 2 4 G 3 End B F Start C 1 D 1
Slack Time A 2 3 E 2 4 G 3 End B F Start C 1 D 1 Slack time = Latest start – Earliest start
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.
Communicating Project Schedule • Time scaled network of activities • Gantt chart • Time an activity graphs and completion graphs
Communicating Project Schedule • Time scaled network of activities • Gantt chart • Time an activity graphs and completion graphs
Communicating Project Schedule • Time scaled network of activities • Gantt chart • Time an activity graphs and completion graphs
Activity Splitting A E G B F C D
Activity Splitting A E G B F C D
Activity Splitting A E G B F1 C D F2
Software • Discovery of Critical Path
Crashing Schedules • Cost time tradeoff • Order of crashing
Take Home Lesson The critical path includes activities with no slack