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A STOCHASTIC DYNAMIC PROGRAMMING MODEL FOR THE OPTIMUM OPERATION OF A MULTI‐PURPOSE RESERVOIR 1
Author(s) -
Torabi Mohammad,
Mobasheri Fereidoun
Publication year - 1973
Publication title -
jawra journal of the american water resources association
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.957
H-Index - 105
eISSN - 1752-1688
pISSN - 1093-474X
DOI - 10.1111/j.1752-1688.1973.tb05848.x
Subject(s) - dynamic programming , stochastic programming , streamflow , stochastic modelling , mathematical optimization , stochastic process , process (computing) , computer science , flow (mathematics) , state (computer science) , mathematics , algorithm , statistics , drainage basin , geometry , cartography , geography , operating system
The main objective of this paper is to present a stockastic dynamic programming model useful in determining the optimal operating policy of a single multipurpose surface reservoir. It is the unreliability of forecasting the amount of future streamflow which makes the problem of a reservoir operation a stochastic process. In this paper the stochastic nature of the streamflow is taken into account by considering the correlation between the streamflows of each pair of consecutive time intervals. This interdependence is used to calculate the probability of transition from a given state and stage to its succeeding ones. A dynamic programming model with a physical equation and a stochastic recursive equation is developed to find the optimum operational policy. For illustrative purposes, the model is applied to a real surface water reservoir system.