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Algorithms for Product-Form Stochastic Petri Nets - A New Approach.

Coleman, J.L.

In: 5th International Workshop on Petri Nets and Performance Models, Toulouse (F) 19.-22. October 1993, pages 108-116. 1993.

Abstract: This paper employs a general relationship between utilisations in product-form stochastic Petri nets (PF-SPN) to derive a new method for calculating the normalising constant. The method collects the constributions 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. We apply the technique to some simple examples and actually obtain closed-form solutions for the normalising constant

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