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Discrete-time queueing networks with geometric release probabilities

Part of: Special processes Operations research and management science

Published online by Cambridge University Press:  01 July 2016

W. Henderson  and
P. G. Taylor
W. Henderson
Affiliation:
University of Adelaide
P. G. Taylor
Affiliation:
University of Adelaide
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Abstract

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This note is concerned with the continuing misconception that a discrete-time network of queues, with independent customer routing and the number of arrivals and services in a time interval following geometric and truncated geometric distributions respectively, has a product-form equilibrium distribution.

Keywords

DISCRETE-TIME QUEUEING NETWORKEXTENDED BERNOULLI QUEUESGEOMETRIC RELEASE PROBABILITIESPRODUCT FORM

MSC classification

Primary: 60K25: Queueing theory
Secondary: 60K30: Applications (congestion, allocation, storage, traffic, etc.) 90B22: Queues and service
Type
Letters to the Editor
Information
Advances in Applied Probability , Volume 24 , Issue 1 , March 1992 , pp. 229 - 233
Copyright
Copyright © Applied Probability Trust 1992 

References

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