Premium
Linear Decision Rule in Reservoir Management and Design: 2. Performance Optimization
Author(s) -
Revelle Charles,
Kirby William
Publication year - 1970
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/wr006i004p01033
Subject(s) - mathematical optimization , evaporation , linear programming , decision rule , computer science , petroleum engineering , operations research , mathematics , geology , artificial intelligence , meteorology , physics
The application of linear decision rules to reservoir management and design is extended in two directions. First, an improved linear decision rule is derived for reservoirs suffering evaporation losses. Release commitments generated by this rule are based on the storage at the beginning of the period, the predicted evaporation depth in the period, and the linearized storage area curve of the reservoir. A clearer and more rigorous derivation of the chance constraints, including the effects of both evaporation losses and possible failures to meet previous commitments, is presented. Second, several reservoir performance measures are formulated as objective functions that can be optimized by linear programing. These performance measures include expected and reliable values of storages and releases, deviations from targets, and reliabilities of achieving stated goals.