STOCHASTIC PERT NETWORKS - OP DIAGRAMS, CRITICAL PATHS AND THE PROJECT COMPLETION-TIME

In many situations the order in which the tasks (jobs or processes) which make up a project must be initiated can be represented in a directed graph known as a PERT (Program Evaluation and Review Technique) network. PERT networks have a useful role to play in the management of complex projects. Recently, closed form expressions for the expectation, variance and distribution of the project completion time in stochastic PERT networks have been derived. In this article closed form expressions were developed for the probability that a particular path in the PERT network was critical.