A uniformization-based algorithm for model checking the CSL until operator on labeled queueing networks

Anne Remke, Boudewijn R. Haverkort

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    Abstract

    We present a model checking procedure for the CSL until operator on the CTMCs that underlie Jackson queueing networks. The key issue lies in the fact that the underlying CTMC is infinite in as many dimension as there are queues in the JQN. We need to compute the transient state probabilities for all goal states and for all possible starting states. However, for these transient probabilities no computational procedures are readily available. The contribution of this paper is the proposal of a new uniformization-based approach to compute the transient state probabilities. Furthermore, we show how the highly structured state space of JQNs allows us to compute the possible infinite satisfaction set for until formulas. A case study on an e-business site shows the feasibility of our approach.
    Original languageEnglish
    Title of host publicationThe 6th International Conference on Formal Modelling and Analysis of Timed Systems
    EditorsFranck Cassez, Claude Jard
    Place of PublicationBerlin
    PublisherSpringer
    Pages188-202
    Number of pages15
    ISBN (Electronic)978-3-540-85778-5
    ISBN (Print)978-3-540-85777-8
    DOIs
    Publication statusPublished - 15 Sept 2008
    Event6th International Conference on Formal Modeling and Analysis of Timed Systems, FORMATS 2008 - Palais du grand Large, St. Malo, France
    Duration: 15 Sept 200817 Sept 2008
    Conference number: 6
    http://formats08.inria.fr/index.html

    Publication series

    NameLecture Notes in Computer Science
    PublisherSpringer
    Volume5215
    ISSN (Print)0302-9743
    ISSN (Electronic)1611-3349

    Conference

    Conference6th International Conference on Formal Modeling and Analysis of Timed Systems, FORMATS 2008
    Abbreviated titleFORMATS
    Country/TerritoryFrance
    CitySt. Malo
    Period15/09/0817/09/08
    Internet address

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