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On the departure processes of M/M/1/N and GI/G/1/N queues

Part of: Special processes

Published online by Cambridge University Press:  01 July 2016

Xiuli Chao
Xiuli Chao*
Affiliation:
New Jersey Institute of Technology
*
∗Postal address: Division of Industrial and Management Engineering, New Jersey Institute of Technology, Newark, NJ 07102, USA.
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Abstract

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The purpose of this note is to point out the connection between the invariance property of M/M/1 and GI/G/1 queues (which has been reported in several papers) and the interchangeability and reversibility properties of tandem queues. This enables us to gain new insights for both problems and obtain stronger invariance results for M/M/1, GI/G/1, as well as loss systems M/M/1/N, GI/G/1/N and tandem systems.

Keywords

M/M/1GI/G/1DEPARTURE PROCESSESINTERCHANGEABILITYREVERSIBILITYTANDEM QUEUES

MSC classification

Primary: 60K25: Queueing theory
Type
Letters to the Editor
Information
Advances in Applied Probability , Volume 24 , Issue 3 , September 1992 , pp. 751 - 754
Copyright
Copyright © Applied Probability Trust 1992 

Footnotes

This research is partially supported by SBR, NJIT.

References

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