Eighth International Workshop on Petri Nets and Performance Models (PNPM '99) Formal Relation of Markov Renewal Theory and Supplementary Variables in the Analysis of Stochastic Petri Nets Zaragoza, Spain September 08-September 10 ISBN: 0-7695-0331-4
Non-Markovian stochastic Petri nets have been investigated mainly by means of Markov renewal theory and by the method of supplementary variables. Both approaches provide different analytic descriptions of the same system. Numerical algorithms based on these descriptions lead to Similar results. Parallel research effort resulted from the fact that an exact relationship of the two was not known.In this paper such a formal relationship is established for Markov regenerative stochastic Petri nets With general preemption policies in both the transient and stationary case. As a by-product, a closed form solution in Laplace domain is derived, which is easier to apply than previously known ones. An example from communications is used for illustrations.
Index Terms:
Markov Regenerative Stochastic Petri Nets, Transient and Stationary Analysis, Laplace Transforms
Citation:
Reinhard German, Miklos Telek, "Formal Relation of Markov Renewal Theory and Supplementary Variables in the Analysis of Stochastic Petri Nets," pnpm, pp.64, Eighth International Workshop on Petri Nets and Performance Models (PNPM '99), 1999 Usage of this product signifies your acceptance of the Terms of Use. | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
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