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Transient Analysis of Markov Regenerative Stochastic Petri Nets: A Comparison of Approaches.

German, Reinhard; Logothetis, Dimitris; Trivedi, Kishor S.

In: IEEE Computer Soc. Press, Proc. of 6th International Workshop on Petri Nets and Performance Models - PNPM'95, Durham, N. Carolina, USA, pages 103-112. 1995.

Abstract: In this paper we present and compare two different approaches for the transient solution of Markov regenerative stochastic Petri Nets: the method based on Markov regenerative theory and the method of supplementary variables. In both cases the equations that govern the marking process of the non-Markovian stochastic Petri net are presented and then solved either in time-domain or using a Laplace-Stieltjes transformation. Then a comparison of both approaches is presented: expressions for asymptotic computational costs and storage requirements are developed and experimental studies are performed to co pare accuracy, time, and space complexity.

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