Poisson Arrivals See Time Averages
نویسنده
چکیده
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منابع مشابه
An Anti-PASTA Result for Markovian Systems
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 t...
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Poisson Arrivals See Time Averages The PASTA property refers to the expected state of a queueing system as seen by an arrival from a Poison process. An arrival from a Poisson process observes the system as if it was arriving at a random moment in time. Therefore, the expected value of any parameter of the queue at the instant of a Poisson arrival is simply the long-run average value of that par...
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In this paper we establish a joint central limit theorem for customer and time averages by applying a martingale central limit theorem in a Markov framework. The limiting values of the two averages appear in the translation terms. This central limit theorem helps to construct confidence intervals for estimators and perform statistical tests. It thus helps determine which finite average is a mor...
متن کاملEstimating Customer and Time
In this paper we establish a joint central limit theorem for customer and time averages by applying a martingale central limit theorem in a Markov framework. The limiting values of the two averages appear in the translation terms. This central limit theorem helps to construct confidence intervals for estimators and perform statistical tests. It thus helps determine which finite average is a mor...
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In this paper, we investigate a single-server Poisson input queueing model, wherein arrivals of units are in bulk. The arrival rate of the units is state dependent, and service time is arbitrary distributed. It is also assumed that the system is subject to breakdown, and the failed server immediately joins the repair facility which takes constant duration to repair the server. By using suppl...
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عنوان ژورنال:
- Operations Research
دوره 30 شماره
صفحات -
تاریخ انتشار 1982