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M/M/∞ transience revisited

Part of: Special processes

Published online by Cambridge University Press:  14 July 2016

J. Preater
J. Preater*
Affiliation:
Keele University
*
∗Postal address: Department of Mathematics, Keele University, Keele, Staffordshire, ST5 5BG, UK.
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Abstract

We take a fresh look at some transient characteristics of an M/M/∞ queue, studied previously by Guillemin and Simonian using delicate complex analysis. Along the way we obtain the Laplace transform of the joint distribution of the duration, number of arrivals and swept area associated with a busy period of an M/M/1 queue.

Keywords

QUEUELAPLACE TRANSFORMCONTINUED FRACTION

MSC classification

Primary: 60K25: Queueing theory
Type
Research Papers
Information
Journal of Applied Probability , Volume 34 , Issue 4 , December 1997 , pp. 1061 - 1067
Copyright
Copyright © Applied Probability Trust 1997 

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References

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