Sharif University of Technology
Scientia Iranica
1026-3098
14
1
2007
02
01
Project Completion Time in Dynamic PERT Networks with Generating Projects
2983
EN
M.
Modarres
Department of Industrial Engineering,Sharif University of Technology
A.
Azaron
Department of Industrial Engineering,University of Bu-Ali-Sina
Journal Article
2009
06
01
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.
http://scientiairanica.sharif.edu/article_2983_59bd05a6d953a8d10db750682f3d8e4c.pdf