Abstract
Optimal regulation policies for a multipurpose reservoir are characterized analytically for the case where the input and return functions are subject to seasonal variations and the return function is piecewise linear, concave, and separable in reservoir volume and discharge. Efficient upper and lower bounds on optimal policies are derived for two important special cases. Necessary and sufficient conditions are obtained for a finite-time horizon optimal policy to be also optimal for the infinite-time horizon.
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References
Arunkumar, S.,Characterization of Optimal Operating Policies for Finite Dams, Journal of Mathematical Analysis and Applications, Vol. 49, No. 2, 1975.
Sobel, M. J.,Reservoir Management Models, Water Resources Research, Vol. 11, No. 6, 1975.
Arunkumar, S., andYeh, W.,Probabilistic Models in the Design and Operation of a Multipurpose Reservoir System, California Water Resources Center, University of California, Davis, California, Contribution No. 144, 1973.
Russell, C. B.,An Optimal Policy for Operating a Multipurpose Reservoir, Operations Research, Vol. 20, No. 6, 1972.
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Communicated by C. T. Leondes
This research was supported in part by the Office of Water Resources Research, Grant No. A-043-CAL, through the Water Resources Center, University of California.
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Arunkumar, S. Optimal regulation policies for a multipurpose reservoir with seasonal input and return function. J Optim Theory Appl 21, 319–328 (1977). https://doi.org/10.1007/BF00933533
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DOI: https://doi.org/10.1007/BF00933533