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Asymptotic Behaviour of an Integrated Video-Data Network

Published online by Cambridge University Press:  27 July 2009

P. J. Hunt
Affiliation:
Statistical Laboratory University of Cambridge, Cambridge CB2 1SB, England

Abstract

We consider a communication network that can support both wideband video calls and narrowband data traffic. First we consider a single link and prove a weak convergence result to justify a piecewise-deterministic Markov process approximation to the system. We then generalize this approximation to allow priorities and more than one link. This second approximation is a generalization of the Erlang fixed-point approximation for loss networks and is justified via a diverse routing limit theorem.

Type
Articles
Copyright
Copyright © Cambridge University Press 1991

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