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An LCFS finite buffer model with finite source batch input

Published online by Cambridge University Press:  14 July 2016

Nico M. Van Dijk
Nico M. Van Dijk*
Affiliation:
Free University, Amsterdam
*
∗ Postal address: Department of Econometrics, P.O. Box 7161, 1007 MC Amsterdam, The Netherlands.
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Abstract

Queueing systems are studied with a last-come, first-served queueing discipline and batch arrivals generated by a finite number of non-exponential sources. A closed-form expression is derived for the steady-state queue length distribution. This expression has a scaled geometric form and is insensitive to the input distribution. Moreover, an algorithm for the recursive computation of the normalizing constant and the busy source distribution is presented. The results are of both practical and theoretical interest as an extension of the standard Poisson batch input case.

Keywords

QUEUEINGLAST-COME FIRST-SERVEDCLOSED-FORM EXPRESSIONINSENSITIVITYNORMALIZING CONSTANT
Type
Research Papers
Information
Journal of Applied Probability , Volume 26 , Issue 2 , June 1989 , pp. 372 - 380
Copyright
Copyright © Applied Probability Trust 1989 

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