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Stochastic optimization of a water supply system
Author(s) -
Bogle M. G. V.,
O'Sullivan M. J.
Publication year - 1979
Publication title -
water resources research
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.863
H-Index - 217
eISSN - 1944-7973
pISSN - 0043-1397
DOI - 10.1029/wr015i004p00778
Subject(s) - inflow , mathematical optimization , stochastic programming , constraint (computer aided design) , piecewise , dynamic programming , water supply , piecewise linear function , set (abstract data type) , linear programming , computer science , probability density function , function (biology) , environmental science , mathematics , geology , environmental engineering , statistics , mathematical analysis , oceanography , geometry , evolutionary biology , biology , programming language
Stochastic dynamic programming (DP) is used to find the operating policy with the least expected steady state cost for a water supply system consisting of a reservoir and an alternative source. The set of possible decisions consists of a number of release rules, each expressing release as a function of storage, rather than a number of discrete releases, as in the conventional DP approach. A flexible procedure is developed which permits inflow to be described by piecewise linear probability density functions, and removes the constraint that inflow and release must be multiples of the discrete unit of storage. The techniques are applied to a reservoir‐river system, and through simulation, the results are compared with the solution found by conventional DP.