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Markov regenerative stochastic Petri nets with general execution policies: supplementary variable analysis and a prototype tool.

German, R.

In: Lecture Notes in Computer Science, Vol. 1469: Computer Performance Evaluation, pages 255-266. Springer-Verlag, 1998.

Abstract: Stochastic Petri nets (SPNs) with general firing time distributions are considered in this paper. The generally timed transitions can have general execution policies: the preemption policy may be preemptive repeat different (prd) or preemptive resume (prs), and the firing time distribution can be marking-independent or marking-dependent through constant scaling factors. A stationary analysis method covering all possible combinations is presented by means of supplementary variables. The method is implemented in a prototype tool based on Mathematica. An example illustrates the analysis method and the use of the tool.

Keywords: general execution policies, regenerative stochastic Petri nets, software tools, variable analysis.

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