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A product-form ‘loss network' with a form of queueing

Part of: Special processes Operations research and management science Computer system organization

Published online by Cambridge University Press:  14 July 2016

S. A. Berezner ,
A. E. Krzesinski  and
P. G. Taylor
S. A. Berezner*
Affiliation:
University of Natal
A. E. Krzesinski*
Affiliation:
University of Stellenbosch
P. G. Taylor*
Affiliation:
University of Adelaide
*
∗Postal address: Department of Statistics, University of Natal, 4001 Durban, South Africa. e-mail: berezner@ph.und.ac.za
∗∗Postal address: Department of Computer Science, University of Stellenbosch, 7600 Stellenbosch, South Africa. e-mail: aekl@cs.sun.ac.za
∗∗∗Postal address: Department of Applied Mathematics, University of Adelaide, South Australia 5005, Australia. e-mail:ptaylor@maths.adelaide.edu.au
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Abstract

We show that a form of queueing can be introduced into the standard fixed-routing loss network model while retaining a product-form invariant measure.

Keywords

LOSS NETWORKS

MSC classification

Primary: 60K25: Queueing theory
Secondary: 60K30: Applications (congestion, allocation, storage, traffic, etc.) 90B22: Queues and service 68M20: Performance evaluation; queueing; scheduling
Type
Short Communications
Information
Journal of Applied Probability , Volume 34 , Issue 4 , December 1997 , pp. 1075 - 1078
Copyright
Copyright © Applied Probability Trust 1997 

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References

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