An Anti-PASTA Result for Markovian Systems

Linda Green and Benjamin Melamed
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Linda Green: Columbia University, New York, New York
Benjamin Melamed: NEC Research Institute, Princeton, New Jersey

Operations Research, 1990, vol. 38, issue 1, 173-175

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.

Keywords: probability; stochastic model applications; point processes; queues; networks: customer and time averages (search for similar items in EconPapers)
Date: 1990
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Persistent link: https://EconPapers.repec.org/RePEc:inm:oropre:v:38:y:1990:i:1:p:173-175

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