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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
PERT network chart for a seven-month project with five milestones (10 through 50) and six activities (A through F). The program evaluation and review technique (PERT) is a statistical tool used in project management, which was designed to analyze and represent the tasks involved in completing a given project.
The PERT distribution is a special case of the four-parameter beta distribution. The uniform distribution or rectangular distribution on [a,b], where all points in a finite interval are equally likely, is a special case of the four-parameter Beta distribution.
For example, a triangular distribution might be used, depending on the application. In three-point estimation, three figures are produced initially for every distribution that is required, based on prior experience or best-guesses: a = the best-case estimate; m = the most likely estimate; b = the worst-case estimate
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] According to studies of traditional project management methods by Standish Group and others as of 1998, only 44% of projects typically finish on time.
X-Pert is geared to producing critical path method and PERT schedules for major, long-term projects (in one case [1] a duration now approaching 40 years).. Developed by users and contributors to the ICL 1900 PERT mainframe package, X-Pert is one of the few packages still fully supporting the activity on arrow project network process.
It is helpful to see an example of project tracking that does not include earned value performance management. Consider a project that has been planned in detail, including a time-phased spend plan for all elements of work. Figure 1 shows the cumulative budget (cost) for this project as a function of time (the blue line, labeled PV). It also ...
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.