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

Part of:Operations research and management scienceSpecial processesComputer 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 service68M20: Performance evaluation; queueing; scheduling

Information

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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