Using Max-Plus Algebra for the Evaluation of Stochastic Process Algebra Prefixes

L. Cloth, L. de Alfaro (Editor), S. Gilmore (Editor), H.C. Bohnenkamp, Boudewijn R.H.M. Haverkort

    Research output: Contribution to conferencePaper

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    Abstract

    In this paper, the concept of complete finite prefixes for process algebra expressions is extended to stochastic models. Events are supposed to happen after a delay that is determined by random variables assigned to the preceding conditions. Max-plus algebra expressions are shown to provide an elegant notation for stochastic prefixes not containing any decisions. Furthermore, they allow for the computation of performance measures. The derivation of the so called k-th occurrence times is shown in detail.
    Original languageUndefined
    Pages152-167
    Number of pages16
    DOIs
    Publication statusPublished - 2001
    EventJoint International Workshop on Process Algebra and Probabilistic Methods & Probabilistic Methods in Verification, PAPM-PROBMIV 2001 - Aachen, Germany
    Duration: 12 Sep 200114 Sep 2001

    Workshop

    WorkshopJoint International Workshop on Process Algebra and Probabilistic Methods & Probabilistic Methods in Verification, PAPM-PROBMIV 2001
    Abbreviated titlePAPM-PROBMIV
    CountryGermany
    CityAachen
    Period12/09/0114/09/01

    Keywords

    • IR-63634
    • EWI-7907

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