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Sensitivity Analysis of Markov Regenerative Stochastic Petri Nets.

Mainkar, Varsha; Choi, Hoon; Trivedi, Kishor S.

In: 5th International Workshop on Petri Nets and Performance Models, Toulouse (F) 19.-22. October 1993, pages 180-189. 1993.

Abstract: Sensitivity analysis, i.e., the analysis of the effect of small variations in system parameters on the output measures can be studied by computing the derivatives of the output measures with respect to the parameter. This paper presents an algorithm for parametric sensitivity analysis of Markov Regenerative Stochastic Petri Nets (MRSPN). MRSPNs are a true generalization of stochastic Petri nets, in that they allow for transitions to have generally distributed firing times (under certain conditions). We extend the steady state analysis and present equations for sensitivity of the steady state probabilities with respect to an arbitrary system parameter. Sensitivity functions of the performance measures can accordingly be expressed in terms of the sensitivity functions of the steady state probabilities. We present an application of our algorithm by finding an optimizing parameter for a vacation queue

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