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Performance Evaluation
Product form solution for a class of PEPA models
IPDS '98 Proceedings of the third IEEE international performance and dependability symposium on International performance and dependability symposium
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Product Form Solution for Generalized Stochastic Petri Nets
IEEE Transactions on Software Engineering
Product form solution for an insensitive stochastic process algebra structure
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Theoretical Computer Science
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Proceedings of the first joint WOSP/SIPEW international conference on Performance engineering
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In this paper we present product-form solutions from the point of view of stochastic process algebra. In previous work [16] we have shown how to derive product-form solutions for a formalism called Labelled Markov Automata (LMA). LMA are very useful as their relation with the Continuous Time Markov Chains is very direct. The disadvantage of using LMA is that the proofs of properties are cumbersome. In fact, in LMA it is not possible to use the inductive structure of the language in a proof. In this paper we consider a simple stochastic process algebra that has the great advantage of simplifying the proofs. This simple language has been inspired by PEPA [10], however, detailed analysis of the semantics of cooperation will show the differences between the two formalisms. It will also be shown that the semantics of the cooperation in process algebra influences the correctness of the derivation of the product-form solutions.