Mean-value of product-form stochastic petri net models of slotted-ring systems

Andrew J. Coyle, Boudewijn R. Haverkort, William Henderson, Charles E.M. Pearce

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    This paper offers a mean-value analysis (MVA) approach for the solution of product-form stochastic Petri net models of slotted-ring systems. It presents the exact product form solution, and from that, develops the MVA recursion scheme. The presented MVA allows for the movement of batches of customers rather than just individual customers, as is the case in teh traditional MVA schemes. Furhermore, the MVA allows for non-disjoint place invariants whereas previous MVA schemes always adressed only disjoint ones. Apart from the MVA recursive relations, it gives details on the implementation of these relations. The advantage of an MVA approach is that it usually allows for much larger models to be solved than the usual numerical solution based on the global balance equations would. The MVA is demonstrated by the analysis of a number of fairly large models for slotted-ring systems.
    Original languageEnglish
    Place of PublicationEnschede
    PublisherUniversity of Twente
    Number of pages21
    Publication statusPublished - 1993

    Publication series

    NameMemoranda Informatica
    PublisherUniversity of Twente
    ISSN (Print)0924-3755
    NameMemorandum TIOS
    PublisherUniversity of Twente, Tele-Informatics and Open Systems Group

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  • Cite this

    Coyle, A. J., Haverkort, B. R., Henderson, W., & Pearce, C. E. M. (1993). Mean-value of product-form stochastic petri net models of slotted-ring systems. (Memoranda Informatica; No. 93-37), (Memorandum TIOS; No. 93-22). Enschede: University of Twente.