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Markov Regenerative Stochastic Petri Nets with General Execution Policies: Supplementary Variable Analysis and a Prototype Tool

R. German
Journal / Anthology

Performance Evaluation
Year: 2000
Volume: 39
Page range: 165-188

Stochastic Petri nets (SPNs) with general firing time distributions are considered. 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-dependent. A stationary analysis method covering all possible combinations is presented by means of supplementary variables. The method is implemented in a prototype tool SPNica which is based on Mathematica. The use of the general execution policies is illustrated by a WWW server model.

*Applied Mathematics > Computer Science
*Mathematics > Probability and Statistics