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Asymptotic relations in queueing theory

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  • Cohen, J. W.

Abstract

For the GI[+45 degree rule]G[+45 degree rule]1 queueing system a number of asymptotic results are reviewed. Discussed are asymptotics related to the time parameter for t --> [infinity] relaxation times, heavy traffic theory, restricted accessibility with large bounds, approximation by diffusion processes, exponential and regular variation of the tail of the waiting time distribution, limit theorems and extreme value theorems.

Suggested Citation

  • Cohen, J. W., 1973. "Asymptotic relations in queueing theory," Stochastic Processes and their Applications, Elsevier, vol. 1(2), pages 107-124, April.
    • Handle: RePEc:eee:spapps:v:1:y:1973:i:2:p:107-124
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    Cited by:

    1. Saulius Minkevičius & Vladimiras Dolgopolovas & Leonidas L. Sakalauskas, 2016. "A Law of the Iterated Logarithm for the Sojourn Time Process in Queues in Series," Methodology and Computing in Applied Probability, Springer, vol. 18(1), pages 37-57, March.

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