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On critically loaded loss networks

Published online by Cambridge University Press:  01 July 2016

P. J. Hunt  and
F. P. Kelly
P. J. Hunt*
Affiliation:
University of Cambridge
F. P. Kelly*
Affiliation:
University of Cambridge
*
Postal address for both authors: Statistical Laboratory, Department of Pure Mathematics and Mathematical Statistics, University of Cambridge, 16 Mill Lane, Cambridge CB2 1SB, UK.
Postal address for both authors: Statistical Laboratory, Department of Pure Mathematics and Mathematical Statistics, University of Cambridge, 16 Mill Lane, Cambridge CB2 1SB, UK.
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Abstract

This paper studies the behaviour of large loss networks, paying particular attention to links at a certain critical loading where the load offered very nearly matches capacity. We correct and extend an earlier central limit theorem for the stationary distribution of a loss network with critically loaded links. We then use this result to show that acceptance probabilities have a limiting product-form decomposition, despite marked dependencies between the occupancies of critically loaded links.

Keywords

BLOCKING PROBABILITIESERLANG'S FORMULA
Type
Research Article
Information
Advances in Applied Probability , Volume 21 , Issue 4 , December 1989 , pp. 831 - 841
Copyright
Copyright © Applied Probability Trust 1989 

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Footnotes

∗

Supported by SERC grant No. 8700 1346.

References

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