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A dam with general release rule

Published online by Cambridge University Press:  17 February 2009

Geoffrey Yeo
Geoffrey Yeo
Affiliation:
Department of Mathematics, Odense University, Odense, Denmark.
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Abstract

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A dam is considered with independently and identically distributed inputs occurring in a renewal process, and in particular a Poisson process, with a general release rate r(·) depending on the content. This is related to a GI/G/1 queue with service times dependent on the waiting time. Some results are obtained for the limiting content distribution when it exists; these are more complete for some special release rates, such as r(x) = μxα and r(x) = a + μx, and particular input size distributions.

Type
Research Article
Information
The ANZIAM Journal , Volume 19 , Issue 4 , December 1976 , pp. 469 - 477
Copyright
Copyright © Australian Mathematical Society 1976

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