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Asymptotic Results for Buffer Systems under Heavy Load

Published online by Cambridge University Press:  27 July 2009

J. C. W. Van Ommeren  and
A. G. de Kok
J. C. W. Van Ommeren
Affiliation:
Department of EconometricsFree University, The Netherlands
A. G. de Kok
Affiliation:
Centre for Quantitative MethodsNederlandse Philips Bedrijven B. V.The Netherlands
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Abstract

This paper considers a dam (or storage) model of the GI/G/I type with a finite capacity K. An arriving input being larger than the unfilled capacity of the dam causes an overflow where the excess amount is lost. Important performance measures for this system are the overflow probability and the long-run fraction of input that is lost. We give asymptotic expansions for these measures for large K both for the case of a load factor less than 1 and for the case of a load factor larger than 1. Also, related results are obtained for the impatient customer model of the M/G/l type.

Type
Research Article
Information
Probability in the Engineering and Informational Sciences , Volume 1 , Issue 3 , July 1987 , pp. 327 - 348
Copyright
Copyright © Cambridge University Press 1987

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