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A decomposition approach to nonlinear programs as applied to reservoir systems
Author(s) -
Bodin L. D.,
Roefs T. G.
Publication year - 1971
Publication title -
networks
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.977
H-Index - 64
eISSN - 1097-0037
pISSN - 0028-3045
DOI - 10.1002/net.3230010106
Subject(s) - nonlinear system , mathematical optimization , computer science , streamflow , key (lock) , decomposition , mathematics , drainage basin , ecology , physics , cartography , computer security , quantum mechanics , biology , geography
The problem considered in this paper is the determination of the operating policy over time of a network of water reservoirs or dams arranged according to an arbitrary topology. If streamflow was a known quantity, the problem could be formulated as a large nonlinear program (several hundred nonlinear) constraints as a minimum) and solved by the two methods proposed in this paper. Since streamflow is random, the problem becomes a large stochastic program which can be solved by a procedure given in the literature. The key step in solving this stochastic program is the solution of the nonlinear program by the methods we propose.