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An Anti-PASTA Result for Markovian Systems

Author

Listed:
  • Linda Green

    (Columbia University, New York, New York)

  • Benjamin Melamed

    (NEC Research Institute, Princeton, New Jersey)

Abstract

PASTA (Poisson Arrivals See Time Averages) is a term coined by R. Wolff in his well known 1982 paper. In keeping with Wolff's terminology, we use the term anti-PASTA to refer to the following converse of PASTA. Given that arrivals do indeed see time averages, when must the arrival process necessarily be Poisson? We show that anti-PASTA is satisfied in a pure-jump Markov process, provided that the arrival process corresponds to a subset of the Markov process jumps.

Suggested Citation

  • Linda Green & Benjamin Melamed, 1990. "An Anti-PASTA Result for Markovian Systems," Operations Research, INFORMS, vol. 38(1), pages 173-175, February.
    • Handle: RePEc:inm:oropre:v:38:y:1990:i:1:p:173-175
    DOI: 10.1287/opre.38.1.173
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    Cited by:

    1. Glynn, Peter & Sigman, Karl, 1998. "Independent sampling of a stochastic process," Stochastic Processes and their Applications, Elsevier, vol. 74(2), pages 151-164, June.

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