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A heavy traffic result for the finite dam

Published online by Cambridge University Press:  14 July 2016

Nils Blomqvist
Nils Blomqvist*
Affiliation:
University of Gothenburg
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Abstract

The steady state content Z of a finite dam in discrete time is investigated for small absolute values of the expected net input and correspondingly large values of the dam capacity. It is shown that under general conditions Z has, asymptotically, a truncated exponential distribution, a result that supplements previous knowledge in queueing theory.

Keywords

FINITE DAMDISCRETE TIMESTEADY STATEDAM CONTENTHEAVY TRAFFICTRUNCATED EXPONENTIAL DISTRIBUTION
Type
Short Communications
Information
Journal of Applied Probability , Volume 10 , Issue 1 , March 1973 , pp. 223 - 228
Copyright
Copyright © Applied Probability Trust 1973 

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References

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