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A Decomposition Approach for Stochastic Petri Net Models.

Ciardo, Gianfranco; Trivedi, Kishor S.

In: Proc. 4th Int. Workshop on Petri Nets and Performance Models (PNPM'91), Melbourne, Australia, pages 74-83. IEEE Comp. Soc. Press, December 1991.

Also in: Performance Evaluation, Vol. 18, No. 1, pages 37-59. 1993.

Abstract: We present a decomposition approach for the solution of large stochastic Petri nets (SPNs). The overall model consists of a set of submodels whose interactions are described by an import graph. Each node of the graph corresponds to a parametrized SPN submodel and an arc from submodel A to submodel B corresponds to a parameter value that B must receive from A. The quantities exchanged between submodels are based on only three primitives. The import graph is normally cyclic, so the solution method is based on fixed point iteration. We apply our technique to the analysis of a flexible manufacturing system.


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