Conditional PASTA

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

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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, E. A., & Regterschot, G. J. K. (1988). Conditional PASTA. Operations research letters, 71(5), 229-232. https://doi.org/10.1016/0167-6377(88)90036-3