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Publication
Communications in Statistics. Stochastic Models
Paper
Stochastic petri nets with timed and immediate transitions
Abstract
Stochastic Petri nets with timed and immediate transitions permit representation of concurrency, synchronization, and communication and provide a general framework for discrete event simulation. Formal definition of the marking process of a stochastic Petri net is in terms of a general state space Markov chain that describes the net at successive marking change epochs. We obtain a limit theorem for irreducible marking processes with finite timed marking set. In addition, we provide conditions on the building blocks of a stochastic Petri net under which the marking process is a regenerative process in continuous time with finite cycle length moments. These results establish the regenerative method for simulation analysis in the stochastic Petri net setting. © 1989, Taylor & Francis Group, LLC. All rights reserved.