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The critical path is aceg and the critical time is 19.51 work days. It is important to note that there can be more than one critical path (in a project more complex than this example) or that the critical path can change. For example, let's say that activities d and f take their pessimistic (b) times to complete instead of their expected (T E ...
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The critical path method (CPM), or critical path analysis (CPA), is an algorithm for scheduling a set of project activities. [1] A critical path is determined by identifying the longest stretch of dependent activities and measuring the time [ 2 ] required to complete them from start to finish.
The idea of CCPM was introduced in 1997 in Eliyahu M. Goldratt's book, Critical Chain. The application of CCPM has been credited with achieving projects 10% to 50% faster and/or cheaper than the traditional methods (i.e., CPM, PERT, Gantt, etc.) developed from 1910 to 1950s. [2]
In probability and statistics, the PERT distributions are a family of continuous probability distributions defined by the minimum (a), most likely (b) and maximum (c) values that a variable can take. It is a transformation of the four-parameter beta distribution with an additional assumption that its expected value is
It's much less popular than PERT (Program Evaluation and Review Technique) or CPM (Critical Path Method) however, it allows some of those methods limitations to be addressed. The main limitations of PERT or CPM that might be addressed by GERT are: there are no alternative paths - all activities have to be performed
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Note (1) the critical path is in red, (2) the slack is the black lines connected to non-critical activities, (3) since Saturday and Sunday are not work days and are excluded from the schedule, some bars on the Gantt chart are longer if they cut through a weekend.