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The control of a finite dam with penalty cost function: Markov input rate

Published online by Cambridge University Press:  14 July 2016

F. A. Attia
F. A. Attia*
Affiliation:
Kuwait University
*
∗Postal address: Department of Mathematics, Kuwait University, P.O. Box 5969, Kuwait.
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Abstract

The long-run average cost per unit time of operating a finite dam controlled by a policy (Lam Yeh (1985)) is determined when the cumulative input process is the integral of a Markov chain. A penalty cost which accrues continuously at a rate g(X(t)), where g is a bounded measurable function of the content, is also introduced. An example where the input rate is a two-state Markov chain is considered in detail to illustrate the computations.

Keywords

STOPPING TIMEGENERATORINTEGRAL OF MARKOV CHAIN
Type
Research Papers
Information
Journal of Applied Probability , Volume 24 , Issue 2 , June 1987 , pp. 457 - 465
Copyright
Copyright © Applied Probability Trust 1987 

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Footnotes

Research supported by Kuwait University Research Grant No. SM 030.

References

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Yeh, Lam (1983) Optimal control of a finite dam: average-cost case. J. Appl. Prob. 22, 480–484.Google Scholar
Zuckerman, D. (1977) Two-stage output procedure of a finite dam. J. Appl. Prob. 14, 421–425.Google Scholar