%0 Journal Article
%T Project Completion Time in Dynamic PERT Networks with Generating Projects
%J Scientia Iranica
%I Sharif University of Technology
%Z 1026-3098
%A Modarres, M.
%A Azaron, A.
%D 2007
%\ 02/01/2007
%V 14
%N 1
%P -
%! Project Completion Time in Dynamic PERT Networks with Generating Projects
%R
%X 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 generalized
Erlang activity durations.
%U https://scientiairanica.sharif.edu/article_2983_59bd05a6d953a8d10db750682f3d8e4c.pdf