Conditional PASTA

Erik A. van Doorn, G.J.K. Regterschot

    Research output: Contribution to journalArticleAcademic

    34 Citations (Scopus)
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    Abstract

    Let Y be a stochastic process representing the state of a system and N a doubly stochastic Poisson process whose intensity varies with the state of a random environment represented by a stochastic process X. In this context a generalization of “PASTA” (Poisson Arrivals See Time Averages) is shown to be valid. Various applications of the result are given.
    Original languageUndefined
    Pages (from-to)229-232
    JournalOperations research letters
    Volume71
    Issue number5
    DOIs
    Publication statusPublished - 1988

    Keywords

    • PASTA
    • Poisson process
    • M/G/1 queue
    • IR-70043
    • buffer model
    • Random environment

    Cite this

    van Doorn, Erik A. ; Regterschot, G.J.K. / Conditional PASTA. In: Operations research letters. 1988 ; Vol. 71, No. 5. pp. 229-232.
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    year = "1988",
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    Conditional PASTA. / van Doorn, Erik A.; Regterschot, G.J.K.

    In: Operations research letters, Vol. 71, No. 5, 1988, p. 229-232.

    Research output: Contribution to journalArticleAcademic

    TY - JOUR

    T1 - Conditional PASTA

    AU - van Doorn, Erik A.

    AU - Regterschot, G.J.K.

    PY - 1988

    Y1 - 1988

    N2 - Let Y be a stochastic process representing the state of a system and N a doubly stochastic Poisson process whose intensity varies with the state of a random environment represented by a stochastic process X. In this context a generalization of “PASTA” (Poisson Arrivals See Time Averages) is shown to be valid. Various applications of the result are given.

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    KW - PASTA

    KW - Poisson process

    KW - M/G/1 queue

    KW - IR-70043

    KW - buffer model

    KW - Random environment

    U2 - 10.1016/0167-6377(88)90036-3

    DO - 10.1016/0167-6377(88)90036-3

    M3 - Article

    VL - 71

    SP - 229

    EP - 232

    JO - Operations research letters

    JF - Operations research letters

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    ER -