Abstract
The economic use of reservoir water in the generation of hydroelectric power has already been the subject of numerous papers. It originated in Massé /4/ and was formalized by Little /3/ using the technique of dynamic programming. Further refinements appeared with Russell /6/, who introduced piecewise-linear costs. Rossman /5/ examined randomized policies in the case of release commitments and Chow and Maidment /2/ studied the problem of correlated inflows. Bogle and O’Sullivan /1/ suggested a special computational procedure when the probability density functions of the inflows are piecewise-linear.
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References
Bogle M.G.B.; O’Sullivan M.J., Stochastic Optimization of a Water Supply System. Water Resour. Res. 15, 778–786 (1979).
Chow V.T.; Maidment D.R., Stochastic State Variable Dynamic Programming for Reservoir Systems Analysis. Water Resour. Res. 17, 1578–1584 (1981).
Little J.D.C., The Use of Storage Water in a Hydroelectric System. Operations Research 3, 187–197 (1955).
Masse P., Les reserves et la régulation de l’avenir dans la vie économique. Hermann, Paris (1946).
Rossman L.A., Reliability-Constrained Dynamic Programming and Randomized Release Rules in Reservoir Management. Water Resour. Res. 13, 247–255 (1977).
Russell C.B., An Optimal Policy for Operating a Multipurpose Reservoir. Operations Research 20, 1181–1189 (1970).
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© 1984 Springer-Verlag Berlin Heidelberg
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Cantaluppi, L. (1984). Optimal Control of a Dam Under Seasonal Electricity Prices. In: Steckhan, H., Bühler, W., Jäger, K.E., Schneeweiß, C., Schwarze, J. (eds) DGOR. Operations Research Proceedings, vol 1983. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-69546-9_10
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DOI: https://doi.org/10.1007/978-3-642-69546-9_10
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