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Poisson approximations for telecommunications networks

Published online by Cambridge University Press:  17 February 2009

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

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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.

Type
Research Article
Information
The ANZIAM Journal , Volume 32 , Issue 3 , January 1991 , pp. 348 - 364
Copyright
Copyright © Australian Mathematical Society 1991

References

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