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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*
Affiliation:
Stanford University

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.

Type
Short Communications
Copyright
Copyright © Applied Probability Trust 1973 

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