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Quasi-stationary distributions and one-dimensional circuit-switched networks

Published online by Cambridge University Press:  14 July 2016

Ilze Ziedins
Ilze Ziedins*
Affiliation:
University of Cambridge
*
∗Postal address: Department of Actuarial Mathematics and Statistics, Heriot-Watt University, Riccarton, Edinburgh EH14 4A5, U.K.
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Abstract

We discuss the quasi-stationary distribution obtained when a simple birth and death process is conditioned on never exceeding K. An application of this model to one-dimensional circuit-switched communication networks is described, and some special cases examined.

Keywords

BIRTH AND DEATH PROCESSESCOMMUNICATION NETWORKS
Type
Research Papers
Information
Journal of Applied Probability , Volume 24 , Issue 4 , December 1987 , pp. 965 - 977
Copyright
Copyright © Applied Probability Trust 1987 

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References

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