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Limit theorems for loss networks with diverse routing

Published online by Cambridge University Press:  01 July 2016

I. B. Ziedins  and
F.P. Kelly
I. B. Ziedins*
Affiliation:
Heriot-Watt University
F.P. Kelly*
Affiliation:
University of Cambridge
*
∗Postal address: Department of Actuarial Mathematics and Statistics, Heriot-Watt University, Riccarton, Edinburgh EH14 4AS, UK.
∗∗Postal address: Statistical Laboratory, University of Cambridge, 16 Mill Lane, Cambridge CB2 1SB, UK.
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Abstract

Loss networks have long been of interest to telephone engineers, and are becoming increasingly important as models of computer and information systems. In this paper we present an asymptotic analysis of loss networks exhibiting various forms of symmetry. Our aim is to better understand the behaviour of networks involving very large numbers of links and routes, where an exact analysis is not possible and approximations are required.

Keywords

BLOCKING PROBABILITIESERLANG'S FORMULA
Type
Research Article
Information
Advances in Applied Probability , Volume 21 , Issue 4 , December 1989 , pp. 804 - 830
Copyright
Copyright © Applied Probability Trust 1989 

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