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An infinite dam with random withdrawal policy

Published online by Cambridge University Press:  01 July 2016

M. S. Ali Khan
M. S. Ali Khan*
Affiliation:
King Saud University
*
∗Postal address: Department of Statistics, College of Science, King Saud University, PO Box 2455, Riyadh 11451, Saudi Arabia.
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Abstract

Most work in the theory of dams has dealt with deterministic withdrawals. Some more recent work, begun by Moran (1969), has been devoted to conditionally deterministic withdrawals which depend on the content of the dam, or in some cases on the last input. We consider in this paper an infinite dam fed by discrete additive inputs, under a totally random withdrawal policy. Explicit expressions are obtained for the time-dependent content distributions. Probabilities of emptiness are computed and stationary results are derived.

Keywords

INPUT PROCESSGENERATING FUNCTION: INVARIANT DISTRIBUTIONEMPTINESSDIFFERENTIAL-DIFFERENCE EQUATION
Type
Research Article
Information
Advances in Applied Probability , Volume 18 , Issue 4 , December 1986 , pp. 933 - 951
Copyright
Copyright © Applied Probability Trust 1986 

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Footnotes

This work was done during the author&s stay at Northwestern University as a Research Scholar.

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