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A limit theorem for priority queues in heavy traffic

Published online by Cambridge University Press:  14 July 2016

J. Michael Harrison
J. Michael Harrison*
Affiliation:
Stanford University
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Abstract

A single server, two priority queueing system is studied under the heavy traffic condition where the system traffic intensity is either at or near its critical value. An approximation is developed for the transient distribution of the low priority customers' virtual waiting time process. This result is stated formally as a limit theorem involving a sequence of systems whose traffic intensities approach the critical value.

Keywords

DIFFUSION APPROXIMATIONHEAVY TRAFFICPRIORITY QUEUEVIRTUAL WAITING TIME
Type
Short Communications
Information
Journal of Applied Probability , Volume 10 , Issue 4 , December 1973 , pp. 907 - 912
Copyright
Copyright © Applied Probability Trust 1973 

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