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International Conference on Application and Theory of Petri Nets

ICATPN 1991: Advances in Petri Nets 1993 pp 325–349Cite as

Iterative decomposition and aggregation of Stochastic marked graph Petri nets

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Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 674))

Abstract

This paper addresses the problem of state explosion and computational complexity in solving marked graph Stochastic Petri Nets (SPNs). We first develop a simple and powerful Petri Nets (PNs) reduction technique that reduces the size of a marked graph PN. Then we propose an iterative delay equivalent reduction technique to solve the reduced SPN. This method iteratively tunes two or more partly aggregated auxiliary SPNs until they are approximately delay equivalent to the original SPN. It avoids the direct solution of the original SPN. In our experience the iteration usually converges and the accuracy is usually better than 5%, though there are exceptional cases. The technique is a step towards approximating more general SPNs.

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Authors and Affiliations

  1. Telecommunications Research Institute of Ontario Department of Systems and Computer Engineering, Carleton University, K1S 5B6, Ottawa, Ontario, Canada

    Yao Li & C. Murray Woodside

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  1. Yao Li
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  2. C. Murray Woodside
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Grzegorz Rozenberg

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© 1993 Springer-Verlag Berlin Heidelberg

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Li, Y., Woodside, C.M. (1993). Iterative decomposition and aggregation of Stochastic marked graph Petri nets. In: Rozenberg, G. (eds) Advances in Petri Nets 1993. ICATPN 1991. Lecture Notes in Computer Science, vol 674. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-56689-9_50

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  • DOI: https://doi.org/10.1007/3-540-56689-9_50

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-56689-2

  • Online ISBN: 978-3-540-47631-3

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