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An explicit upper bound for the mean busy period in a GI/G/1 queue

Published online by Cambridge University Press:  14 July 2016

Richard Loulou
Richard Loulou*
Affiliation:
McGill University, Montreal
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Abstract

In this paper, an upper bound is derived for the mean busy cycle duration in GI/G/1 queues. The bound is of the form A/(1 – ρ), where ρ is the traffic intensity and A involves three moments of the basic random variables of the queue. The proof uses a well-known result of random walk theory.

Keywords

BUSY-PERIOD ANALYSISGI/G/1 QUEUEBOUNDS FOR GI/G/1

Information

Type
Short Communications
Information
Journal of Applied Probability , Volume 15 , Issue 2 , June 1978 , pp. 452 - 455
Copyright
Copyright © Applied Probability Trust 1978 

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