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Lookup NU author(s): Dr Nigel Thomas
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The advantages of the compositional structure within the Markovian process algebra PEPA for model construction and simplification have already been demonstrated. In this paper we show that for some PEPA models this structure may also be used to advantage during the solution of the model. Several papers offering product form solutions of stochastic Petri nets have been published during the last ten years. In [3], Boucherie showed that these solutions were a special case of a simple exclusion mechanism for the product process of a collection of Markov chains. The results presented in this paper take advantage of his observation. In particular we show that PEPA models that generate such processes may be readily identified and show how the product form solution may be obtained. Although developed here in the context of PEPA the results presented can be easily generalised to any of the other Markovian process algebra languages.
Author(s): Hillston J, Thomas N
Publication type: Article
Publication status: Published
Journal: Performance Evaluation
Year: 1999
Volume: 35
Issue: 3-4
Pages: 171-192
ISSN (print): 0166-5316
ISSN (electronic): 1872-745X
Publisher: Elsevier BV
URL: http://dx.doi.org/10.1016/S0166-5316(99)00005-X
DOI: 10.1016/S0166-5316(99)00005-X
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