Supplementary Variable Approach Applied
to the Transient Analysis of Age-MRSPNs

Miklós Telek, András Horváth


In order to assist the performance evaluation of complex stochastic models automatic program tools are developed since a long time. An effective model description language alternative, supported by several software tools, is the stochastic Petri net (SPN). But the attention to the analytical description and the numerical analysis of non-Markovian stochastic Petri net models arose only recently. There are different theoretical approaches and numerical methods considered in recent works, such as the Markov renewal theory and the supplementary variable approach, but to find the most effective way of the analysis of such models is still a hot research topic.

The supplementary variable approach was succesfully applied for the transient and steady state analysis of Markov Regerenative Stochastic Petri Nets (MSRPN) when the preemption policy associated with the Petri net (PN) transitions was preemptive repeat different (prd), but it was not applicable with other preemption mechamisms. In this paper we extend the applicability of the supplementary variable approach to a class of MRSPNs in which preemptive resume (prs) policy can also be assigned to the PN transitions.


[Publications of András Horváth]

András Horváth, 2008-06-25