Compositional Modeling and Minimization of Time-Inhomogeneous Markov Chains

Tingting Han, Joost P. Katoen, A. Mereacre

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    10 Citations (Scopus)
    3 Downloads (Pure)


    This paper presents a compositional framework for the modeling of interactive continuous-time Markov chains with time-dependent rates, a subclass of communicating piecewise deterministic Markov processes. A poly-time algorithm is presented for computing the coarsest quotient under strong bisimulation for rate functions that are either piecewise uniform or (piecewise) polynomial. Strong as well as weak bisimulation are shown to be congruence relations for the compositional framework, thus allowing component-wise minimization. In addition, a new characterization of transient probabilities in time-inhomogeneous Markov chains with piecewise uniform rates is provided.
    Original languageUndefined
    Title of host publicationHybrid Systems: Computation and Control (HSCC)
    Place of PublicationBerlin
    Number of pages15
    ISBN (Print)978-3-540-78928-4
    Publication statusPublished - Apr 2008
    Event11th International Workshop on Hybrid Systems: Computation and Control, HSCC 2008 - St. Louis, United States
    Duration: 22 Apr 200824 Apr 2008
    Conference number: 11

    Publication series

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


    Workshop11th International Workshop on Hybrid Systems: Computation and Control, HSCC 2008
    Abbreviated titleHSCC
    Country/TerritoryUnited States
    CitySt. Louis


    • EWI-12140
    • IR-62226
    • METIS-250918

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