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An Imbedded Chain Approach to a Queue with Moving Average Input

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  • C. Pearce

    (The University, Sheffield, England)

Abstract

A generalization of the GI / M /1 queue is considered in which the interarrival times do not constitute an identically and independently distributed sequence but are correlated. The transient behavior of the queue length is treated, both in continuous time and on an imbedded chain. The busy period is also considered.

Suggested Citation

  • C. Pearce, 1967. "An Imbedded Chain Approach to a Queue with Moving Average Input," Operations Research, INFORMS, vol. 15(6), pages 1117-1130, December.
    • Handle: RePEc:inm:oropre:v:15:y:1967:i:6:p:1117-1130
    DOI: 10.1287/opre.15.6.1117
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    Cited by:

    1. Petra Tomanová & Vladimír Holý, 2021. "Clustering of arrivals in queueing systems: autoregressive conditional duration approach," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 29(3), pages 859-874, September.

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