The queue G/M/m/N: Busy period and cycle, waiting time under reverse and random order service

Stig I. Rosenlund

Naval Research Logistics Quarterly, 1978, vol. 25, issue 1, 107-119

Abstract: The busy period, busy cycle, and the numbers of customers served and lost therein, of the G/M/m queue with balking is studied via the embedded Markov chain approach. It is shown that the expectations of the two discrete variables give the loss probability. For the special case G/M/1/N a closed expression in terms of contour integrals is obtained for the Laplace transform of these four variables. This yields as a byproduct the LIFO waiting time distribution for the G/M/m/N queue. The waiting time under random order service for this queue is also studied.

Date: 1978
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Persistent link: https://EconPapers.repec.org/RePEc:wly:navlog:v:25:y:1978:i:1:p:107-119

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