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Optimal control of finite dams: discrete (2-stage) output procedure

Published online by Cambridge University Press:  14 July 2016

M. J. Faddy
M. J. Faddy*
Affiliation:
University of Birmingham
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Abstract

The problem discussed is that of determining optimal release rates for finite dams when the release rate may take one of two values and specific costs are involved in increasing and decreasing this release rate. From another point of view, this is a problem of controlling the output simply by switching on and off. A diffusion model is suggested and by considering a family of plausible output policies an optima procedure, which minimises the long-term average cost of operating the dam, is established. Various properties of this output policy are given.

Keywords

DAMSCONTROLDIFFUSION MODELPOTENTIAL COST FUNCTIONOPTIMAL PROCEDURES
Type
Research Papers
Information
Journal of Applied Probability , Volume 11 , Issue 1 , March 1974 , pp. 111 - 121
Copyright
Copyright © Applied Probability Trust 1974 

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References

[1] Bather, J. A. (1963) Control charts and the minimisation of costs J. R. Statist. Soc. B 25, 49–80.Google Scholar
[2] Bather, J. A. (1968) A diffusion model for the control of a dam J. Appl. Prob. 5, 55–71.Google Scholar
[3] Moran, P. A. P. (1959) The Theory of Storage. Methuen, London.Google Scholar