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A generalization of Rapp's formula

Published online by Cambridge University Press:  17 February 2009

C. E. M. Pearce
Affiliation:
Department of Applied Mathematics, University of Adelaide, Adelaide, South Australia 5000
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Abstract

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The Rapp formula of teletraffic dimensioning is generalized to admit an arbitrary renewal stream of offered traffic. The derivation proceeds from a heavy traffic approximation and provides also an estimate of the order of error involved in the Rapp formula. In principle, the method could be used to seek convenient higher order approximations.

Our equations give an incidental theoretical substantiation of an empirical result relating to marginal occupancy found recently by Potter.

Information

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 1982