Considering the network structure is one of the new approaches in studying stochastic PERT networks (SPN). In this paper, planar networks are studied as a special class of networks. Two structural reducible mechanisms titled arc contraction and deletion are developed to convert any planar network to a series-parallel network structure. In series-parallel SPN, the completion time distribution f...

We develop a multi-objective model for the resource allocation problem in a dynamic PERT network, where the activity durations are exponentially distributed random variables and the new projects are generated according to a Poisson process. This dynamic PERT network is represented as a network of queues, where the service times represent the durations of the corresponding activities and the arr...

considering the network structure is one of the new approaches in studying stochastic pert networks (spn). in this paper, planar networks are studied as a special class of networks. two structural reducible mechanisms titled arc contraction and deletion are developed to convert any planar network to a series-parallel network structure. in series-parallel spn, the completion time distribution fu...

This paper is a generalization of our previous publications [2,19-20] where some newly developed models of the harmonization theory, together with various practical applications, have been outlined. The goal of the paper under consideration is to describe in depth both the general concepts of the harmonization theory and the fitness of the latter by citing an example from a widely used class of...

In this paper, we apply the stochastic dynamic programming to approximate the mean project completion time in dynamic Markov PERT networks. It is assumed that the activity durations are independent random variables with exponential distributions, but some social and economical problems influence the mean of activity durations. It is also assumed that the social problems evolve in accordance wit...

Program evaluation and review techniques (PERT) is an efficient tool for large project management. In actual project control decisions, PERT has successfully been applied to business management, industry production, project scheduling control, logistics support, etc. However, classical PERT requires a crisp duration time representation for each activity. This requirement is often difficult for ...

In this paper, we describe how a stochastic PERT network can be formulated as a Bayesian network. We approximate such PERT Bayesian network by mixtures of Gaussians hybrid Bayesian networks. Since there exists algorithms for solving mixtures of Gaussians hybrid Bayesian networks exactly, we can use these algorithms to make inferences in PERT Bayesian networks.

Project scheduling based on probabilistic methods commonly uses the Program Evaluation Review Technique (PERT). However, practitioners do not widely utilize PERT-based due to difficulty in obtaining historical data for similar projects. PERT has several drawbacks, such as inability update activity dura- tions real time. In reality, changes project conditions related resources have a highly dyna...

The following analytical approaches: queuing network models, stochastic automata networks, stochastic timed Petri nets, stochastic process algebra, Markov chains can be used in performance evaluation of multi–agent systems. In this paper, new approach which is based on PERT networks is presented. This approach is applied in performance evaluation of layered multi–agent system. Time-out mechanis...