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Derivation of monthly reservoir release policies
Author(s) -
Bhaskar Nageshwar R.,
Whitlatch Elbert E.
Publication year - 1980
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/wr016i006p00987
Subject(s) - quadratic equation , nonlinear system , set (abstract data type) , function (biology) , mathematical optimization , quadratic function , mathematics , computer science , geometry , physics , quantum mechanics , evolutionary biology , biology , programming language
A single multiple‐purpose reservoir is analyzed using a backward looking dynamic program algorithm to obtain optimal releases. The dynamic program is solved for both one‐sided and two‐sided quadratic loss functions. Monthly policies are derived by regressing the optimal set of releases on the input and state variables. Linear and nonlinear release policies are developed, then verified and compared through simulation. For a two‐sided quadratic loss function, linear policies are as good or better than nonlinear policies. However, for a one‐sided quadratic loss function, nonlinear policies give improved performance over linear policies. It is also illustrated that the maximum R 2 criterion for selecting release policies may not always be appropriate. Hoover Reservoir, located on Big Walnut Creek in central Ohio, is used as a case example.