Model Checking for a Class of Performance Properties of Fluid Stochastic Models

L.M. Bujorianu, M.C. Bujorianu

    Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

    5 Citations (Scopus)

    Abstract

    Recently, there is an explosive development of fluid approa- ches to computer and distributed systems. These approaches are inherently stochastic and generate continuous state space models. Usually, the performance measures for these systems are defined using probabilities of reaching certain sets of the state space. These measures are well understood in the discrete context and many efficient model checking procedures have been developed for specifications involving them. The continuous case is far more complicated and new methods are necessary. In this paper we propose a general model checking strategy founded on advanced concepts and results of stochastic analysis. Due to the problem complexity, in this paper, we achieve the first necessary step of characterizing mathematically the problem. We construct upper bounds for the performance measures using Martin capacities. We introduce a concept of bisimulation that preserves the performance measures and a metric that characterizes the bisimulation.
    Original languageUndefined
    Title of host publicationThird European Performance Engineering Workshop (EPEW)
    EditorsA. Horváth, M. Telek
    Place of PublicationBerlin
    PublisherSpringer
    Pages93-107
    Number of pages15
    ISBN (Print)3-540-35362-3
    DOIs
    Publication statusPublished - 2006

    Publication series

    NameLecture Notes in Computer Science
    PublisherSpringer Verlag
    Number2
    Volume4054
    ISSN (Print)0302-9743
    ISSN (Electronic)1611-3349

    Keywords

    • EWI-6965
    • MSC-68U01
    • Capacity
    • Bisimulation
    • Fluid models
    • IR-63442
    • Computer Networks
    • Markov Processes
    • Performance measure
    • METIS-238185
    • Model Checking

    Cite this

    Bujorianu, L. M., & Bujorianu, M. C. (2006). Model Checking for a Class of Performance Properties of Fluid Stochastic Models. In A. Horváth, & M. Telek (Eds.), Third European Performance Engineering Workshop (EPEW) (pp. 93-107). [10.1007/11777830_7] (Lecture Notes in Computer Science; Vol. 4054, No. 2). Berlin: Springer. https://doi.org/10.1007/11777830_7
    Bujorianu, L.M. ; Bujorianu, M.C. / Model Checking for a Class of Performance Properties of Fluid Stochastic Models. Third European Performance Engineering Workshop (EPEW). editor / A. Horváth ; M. Telek. Berlin : Springer, 2006. pp. 93-107 (Lecture Notes in Computer Science; 2).
    @inproceedings{0118ee92550b47adba8a46fba234f907,
    title = "Model Checking for a Class of Performance Properties of Fluid Stochastic Models",
    abstract = "Recently, there is an explosive development of fluid approa- ches to computer and distributed systems. These approaches are inherently stochastic and generate continuous state space models. Usually, the performance measures for these systems are defined using probabilities of reaching certain sets of the state space. These measures are well understood in the discrete context and many efficient model checking procedures have been developed for specifications involving them. The continuous case is far more complicated and new methods are necessary. In this paper we propose a general model checking strategy founded on advanced concepts and results of stochastic analysis. Due to the problem complexity, in this paper, we achieve the first necessary step of characterizing mathematically the problem. We construct upper bounds for the performance measures using Martin capacities. We introduce a concept of bisimulation that preserves the performance measures and a metric that characterizes the bisimulation.",
    keywords = "EWI-6965, MSC-68U01, Capacity, Bisimulation, Fluid models, IR-63442, Computer Networks, Markov Processes, Performance measure, METIS-238185, Model Checking",
    author = "L.M. Bujorianu and M.C. Bujorianu",
    note = "10.1007/11777830_7",
    year = "2006",
    doi = "10.1007/11777830_7",
    language = "Undefined",
    isbn = "3-540-35362-3",
    series = "Lecture Notes in Computer Science",
    publisher = "Springer",
    number = "2",
    pages = "93--107",
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    Bujorianu, LM & Bujorianu, MC 2006, Model Checking for a Class of Performance Properties of Fluid Stochastic Models. in A Horváth & M Telek (eds), Third European Performance Engineering Workshop (EPEW)., 10.1007/11777830_7, Lecture Notes in Computer Science, no. 2, vol. 4054, Springer, Berlin, pp. 93-107. https://doi.org/10.1007/11777830_7

    Model Checking for a Class of Performance Properties of Fluid Stochastic Models. / Bujorianu, L.M.; Bujorianu, M.C.

    Third European Performance Engineering Workshop (EPEW). ed. / A. Horváth; M. Telek. Berlin : Springer, 2006. p. 93-107 10.1007/11777830_7 (Lecture Notes in Computer Science; Vol. 4054, No. 2).

    Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

    TY - GEN

    T1 - Model Checking for a Class of Performance Properties of Fluid Stochastic Models

    AU - Bujorianu, L.M.

    AU - Bujorianu, M.C.

    N1 - 10.1007/11777830_7

    PY - 2006

    Y1 - 2006

    N2 - Recently, there is an explosive development of fluid approa- ches to computer and distributed systems. These approaches are inherently stochastic and generate continuous state space models. Usually, the performance measures for these systems are defined using probabilities of reaching certain sets of the state space. These measures are well understood in the discrete context and many efficient model checking procedures have been developed for specifications involving them. The continuous case is far more complicated and new methods are necessary. In this paper we propose a general model checking strategy founded on advanced concepts and results of stochastic analysis. Due to the problem complexity, in this paper, we achieve the first necessary step of characterizing mathematically the problem. We construct upper bounds for the performance measures using Martin capacities. We introduce a concept of bisimulation that preserves the performance measures and a metric that characterizes the bisimulation.

    AB - Recently, there is an explosive development of fluid approa- ches to computer and distributed systems. These approaches are inherently stochastic and generate continuous state space models. Usually, the performance measures for these systems are defined using probabilities of reaching certain sets of the state space. These measures are well understood in the discrete context and many efficient model checking procedures have been developed for specifications involving them. The continuous case is far more complicated and new methods are necessary. In this paper we propose a general model checking strategy founded on advanced concepts and results of stochastic analysis. Due to the problem complexity, in this paper, we achieve the first necessary step of characterizing mathematically the problem. We construct upper bounds for the performance measures using Martin capacities. We introduce a concept of bisimulation that preserves the performance measures and a metric that characterizes the bisimulation.

    KW - EWI-6965

    KW - MSC-68U01

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    KW - Bisimulation

    KW - Fluid models

    KW - IR-63442

    KW - Computer Networks

    KW - Markov Processes

    KW - Performance measure

    KW - METIS-238185

    KW - Model Checking

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    DO - 10.1007/11777830_7

    M3 - Conference contribution

    SN - 3-540-35362-3

    T3 - Lecture Notes in Computer Science

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    BT - Third European Performance Engineering Workshop (EPEW)

    A2 - Horváth, A.

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    Bujorianu LM, Bujorianu MC. Model Checking for a Class of Performance Properties of Fluid Stochastic Models. In Horváth A, Telek M, editors, Third European Performance Engineering Workshop (EPEW). Berlin: Springer. 2006. p. 93-107. 10.1007/11777830_7. (Lecture Notes in Computer Science; 2). https://doi.org/10.1007/11777830_7