Project Completion Time in Dynamic PERT Networks with Generating Projects

In this paper, an analytical method is developed to compute the project completion time distribution in a dynamic pert network, where the activity durations are exponentially distributed random variables. the projects are generated according to a renewal process and share the same facilities. thus, these projects cannot be analyzed independently. the authors' approach is to transform this dynamic pert network into a stochastic network and, then, to obtain the project completion time distribution by constructing a proper continuous-time markov chain. this dynamic pert network is represented as a network of queues, where the service times represent the durations of the corresponding activities and the arrival stream to each node follows a renewal process. finally, the proposed methodology is extended to the generalizederla ng activity durations.