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# Project Management - Critical path method

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A step-by-step process for identifying Critical Path once you have identified the activities, duration and predecessor for a given project.

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• ### Project Management - Critical path method

1. 1. Critical Path Vazi Okhandiar, PMP, MCT, MBA, MSCS, BSEE NR Computer Learning Center 1835 W. Orangewood, #200 Orange . CA 92868 (714) 505-3475 www.nrclc.com
2. 2. Critical Path Method (CPM)  The critical path method is a project modeling technique developed in the late 1950s by Morgan R. Walker of DuPont and James E. Kelley, Jr. of Remington Rand. - Wikipedia
3. 3. Critical Path  The critical path method was examined by the United States Navy, and established a version in 1958 called a PERT (Program Evaluation and Review Technique) analysis. PERT claimed to reduce project management time by up to 42 percent, and was first used in the development of the Polaris missile. Ref: http://www.ehow.com/about_4703555_whatcritical-path.html#ixzz2igTEV3Q7
4. 4. Critical Path  A Critical Path is the path with the least amount of float or slack time. A float time is the amount of time that an activity can be delayed without delaying the project.  A Critical Path is the longest amount of time it will take to complete the project.  A Critical Path usually has 0 float but may have negative float if the end task is constrained to an early finish date.  If any of the task identified in the critical path is late, then the project will be late.
5. 5. 6. Steps for identifying Critical Path 1. 2. 3. Specify the activates, duration and dependencies Draw a network diagram. Perform the forward pass to identify all Early Start and Early Finish times for the network. Early Finish = Early Start + Duration 4. Perform the backward pass to identify all Late Start and Late Finish times for the network. Late Start = Late Finish – Duration 5. Calculate the slack time. Float = Late Start (LS) – Early Start (ES) 6. Identify the task on critical path with 0 float (slack) time.
6. 6. 1. Task/Duration/Predecessor TAS K A B C D E F G Duratio Predecess n or 2 ---2 A 1 A 3 A 1 C,D 3 B 2 E,F
7. 7. Terminologies  ID – Task ID  D- Duration  ES – Early Start  EF – Early Finish  LS – Late Start ES  LF – Late Finish F ID DR LS LF  S - Slack EF
8. 8. 2. Network Diagram B 2 F 3 Activity A 2 C 1 G 2 Duratio n ES D 3 E 1 F LS EF ID DR LF
9. 9. 3. Forward Pass 2 Early Start 4 B 2 1st 2 A 2 7 F 3 Early Duration= 9days Finish 2 5 D 3 7 3 C 1 2 0 4 5 task starts at 0 EF = ES + DR ES = EF of predecessor When more than one predecessor, pick the larger # 6 E 1 9 G 2 ES F LS EF ID DR LF
10. 10. 4. Backward Pass 2 4 B 2 1st task should end with LS = 0. 2 0 2 A 2 0 2 Late Start 2 4 4 7 F 3 4 7 7 9 G 2 7 9 3 C 1 5 6 Late Finish 2 LS = LF - DR LF = LS of successor 5 D 3 3 6 5 6 E 1 6 7 When more than one successor, pick the smallest # ES F LS EF ID DR LF
11. 11. 5. Slack / Float 2 4 0 B 2 2 4 0 2 0 A 2 0 2 4 7 0 F 3 4 7 7 9 0 G 2 7 9 2 3 3 C 1 5 6 Float = LS – ES 2 5 1 D 3 3 6 5 6 1 E 1 6 7 Float = Late Start (LS) – Early Start (ES) ES F LS EF ID DR LF
12. 12. 6. Critical Path The path with 0 Float is the critical path. 0 2 0 A 2 0 2 2 4 0 B 2 2 4 4 7 0 F 3 4 7 A-B-F-G is the critical 5 path. 6 0 C 1 5 6 2 5 0 D 3 2 5 LS = LF - DR LF = LS of successor 7 0 G 2 7 5 6 1 E 1 6 7 9 9 ES F LS EF ID DR LF
13. 13. Thank You! Vazi Okhandiar, PMP, MCT, MBA, MSCS, BSEE NR Computer Learning Center 1835 W. Orangewood, Suite 200 Orange, CA 92868 www.nrclc.com . (714) 505. 3475 info@nrclc.com