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Algorithms for product-form stochastic Petri nets-A new approach

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1 Author(s)
Coleman, J.L. ; Applied Maths, Adelaide Univ., SA, Australia

A general relationship between utilizations in product-form stochastic Petri nets (PF-SPNs) is used to derive a method for calculating the normalizing constant. The method collects the contributions of many states together as geometric sums and in general provides a recursive algorithm with numerical complexity independent of the size of the initial marking. The technique is applied to some simple examples, and closed-form solutions are obtained for the normalizing constant

Published in:

Petri Nets and Performance Models, 1993. Proceedings., 5th International Workshop on

Date of Conference:

19-22 Oct 1993

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