Characterizing pure loss GI/G/1 queues with renewal output-Reference-Cited by-同舟云学术

Characterizing pure loss GI/G/1 queues with renewal output

Published:1974-01 Issue:1 Volume:75 Page:103-107
ISSN:0305-0041
Container-title:Mathematical Proceedings of the Cambridge Philosophical Society
language:en
Short-container-title:Math. Proc. Camb. Phil. Soc.

Author:

Daley D. J.

Abstract

SummaryIn a pure loss GI/G/1 queueing system, necessary and sufficient conditions are given for the output to be a renewal process. These conditions involve dependence between the service distribution and the renewal function of the arrival process: for example, if pr {service time < ξ} = 0 for some ξ > 0, then it is sufficient for the renewal function to be that of a quasi-Poisson process with index ξ.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference5 articles.

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2. Further results concerning the simple queueing loss system;Vlach;Z. Operat. Res.,1971

3. Über die in einem einfachen Verlustsystem induzierten stochastischen Prozesse;Schmidt;Z. Operat. Res.,1967

4. On renewal theory, counter problems, and quasi-Poisson processes

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