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On blocking in loss networks

Published online by Cambridge University Press:  01 July 2016

S. Zachary
S. Zachary*
Affiliation:
Heriot-Watt University
*
∗Postal address: Department of Actuarial Mathematics and Statistics, Heriot-Watt University, Riccarton, Edinburgh, EH14 4AS, UK.
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Abstract

We consider a ‘reduced state space' approach to the analysis of blocking in stochastic loss networks. We show how this approach provides insight into the approximations currently used in large networks and enables improved approximations to be deduced. We further give some ‘heavy traffic' asymptotic results for the limiting scheme of Kelly (1986).

Keywords

CIRCUIT-SWITCHED NETWORKSERLANG FIXED-POINT APPROXIMATION
Type
Research Article
Information
Advances in Applied Probability , Volume 23 , Issue 2 , June 1991 , pp. 355 - 372
Copyright
Copyright © Applied Probability Trust 1991 

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References

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