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The control of a multipurpose reservoir

Published online by Cambridge University Press:  01 July 2016

John Haslett
John Haslett*
Affiliation:
Trinity College, Dublin
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Abstract

A technique known as potential cost, used by Faddy [3] for assessing the operation of a dam is seen to be capable of extension to allow for

(i) a very general cost function, as is required for a multipurpose reservoir (the norm nowadays) and

(ii) the use of discounting of future costs, a very widespread accounting procedure.

Numerical results are obtained for an optimal policy based on such an assessment, and demonstrate the need for an accurate specification of the costs associated with the operation of a reservoir. As a by-product a very full description of the steady-state stochastic behaviour of the dam is obtained.

Keywords

MULTIPLE PURPOSE RESERVOIRCONTROLWIENER PROCESSDISCOUNTED COSTSRENEWAL THEORY
Type
Research Article
Information
Advances in Applied Probability , Volume 8 , Issue 3 , September 1976 , pp. 592 - 609
Copyright
Copyright © Applied Probability Trust 1976 

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References

[1] Cox, D. R. (1962) Renewal Theory. Methuen, London.Google Scholar
[2] Cox, D. R. and Miller, M. D. (1965) The Theory of Stochastic Processes. Methuen, London.Google Scholar
[3] Faddy, M. J. (1974) Optimal control of finite dams: Discrete (2-stage) output procedure. J. Appl. Prob. 11, 111–121.Google Scholar
[4] Sirovich, L. (1971) Techniques of Asymptotic Analysis. Springer-Verlag, New York.CrossRefGoogle Scholar
[5] Widder, D. V. (1946) The Laplace Transform. Princeton University Press, Princeton, N. J. Google Scholar