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Australasian Biometrics and New Zealand Statistical Association Joint Conference 2001
December 10-13, 2001
Park Royal Hotel
Christchurch, New Zealand

Organizers
David Baird, Dave Saville, Harold Henderson, Peter Johnstone, Marco Reale, Irene Hudson, Julian Visch, Roger Littlejohn

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Markov random field models of multicasting in tree networks
by
Ilze Ziedins
The University of Auckland
Coauthors: Kavita Ramanan (Lucent Technologies Bell Labs), Anirvan Sengupta (Lucent Technologies Bell Labs)

Multicasting arises in both queueing and loss networks. Instead of having a simple end-to-end connection, a transmission is made to a group of individuals from a single site. An example of this in the loss network setting is a conference call. This paper analyses a model of a simple regular tree loss network that supports both unicast and multicast calls. At sufficiently high arrival rates for the multicast calls, the network exhibits a "phase transition". The dependence of the phase transition on arrival rates, capacities and some of the modelling assumptions will be discussed.

Date received: September 2, 2001

Copyright © 2001 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cahg-83.