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On remaining full busy periods of GI/G/c queues and their relation to stationary point processes

Published online by Cambridge University Press:  14 July 2016

Saeed Ghahramani
Saeed Ghahramani*
Affiliation:
Towson State University
*
∗Postal address: Towson State University, Department of Mathematics, Towson, MD 21204, USA.
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Abstract

For a GI/G/c queue, a full busy period is a period commencing when an arrival finds c − 1 customers in the system and ending when, for the first time after that, a departure leaves behind c − 1 customers in the system. We show that given a full busy period is found to be in progress at a random epoch, the remaining full busy period has the equilibrium distribution. Moreover, we demonstrate that this property is typical for a broad class of stationary random processes.

Keywords

FULL AND PARTIAL BUSY PERIODSREMAINING BUSY PERIODS
Type
Short Communications
Information
Journal of Applied Probability , Volume 27 , Issue 1 , March 1990 , pp. 232 - 236
Copyright
Copyright © Applied Probability Trust 1990 

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References

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