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Rates of convergence for queues in heavy traffic. II: Sequences of queueing systems

Published online by Cambridge University Press:  01 July 2016

Douglas P. Kennedy
Douglas P. Kennedy*
Affiliation:
University of Sheffield
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Abstract

Estimates are given for the rates of convergence in functional central limit theorems for the queue length process in a sequence of general multiple channel queues. The situation is considered where the traffic intensity in the nth. queue, ρn, tends to ρ ≧ 1 as n approaches infinity. This extends previous work by the author, [6], in which the traffic intensity was fixed ≧ 1.

Keywords

RATES OF CONVERGENCEERROR TERMSWEAK CONVERGENCEFUNCTIONAL LIMIT THEOREMSHEAVY TRAFFICMULTIPLE CHANNEL QUEUESQUEUES
Type
Research Article
Information
Advances in Applied Probability , Volume 4 , Issue 2 , August 1972 , pp. 382 - 391
Copyright
Copyright © Applied Probability Trust 1972 

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References

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