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Transient analysis of Markov regenerative stochastic Petri nets: a comparison of approaches

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3 Author(s)
German, R. ; Tech. Univ. Berlin, Germany ; Logothetis, D. ; Trivedi, K.S.

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 compare accuracy, time, and space complexity

Published in:

Petri Nets and Performance Models, 1995., Proceedings of the Sixth International Workshop on

Date of Conference:

3-6 Oct 1995