J Austral Math Soc Ser B 32 pp348--364, 1991.

Poisson approximations for telecommunications networks

T. C. Brown and P. K. Pollett

(Received 26 January 1990; revised 25 May 1990)

Abstract

In this paper, we review some techniques for studying traffic processes in telecommunications networks. The first of these allows one to identify Poisson traffic via the notion of "deterministic past-conditional arrival rate". Our approach leads to a method by which one can assess the degree of deviation of traffic processes from Poisson processes. We explain how this can be used to delimit circumstances under which traffic is approximately Poissonian.

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Authors

T. C. Brown
Department of Mathematics, The University of Western Australia, W.A. 6009.
P. K. Pollett
Department of Mathematics, The University of Queensland, Qld. 4072.

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