Premium
A NONLINEAR MODEL OF A WATER RESERVOIR SYSTEM WITH MULTIPLE USES AND ITS OPTIMIZATION BY COMBINED USE OF DYNAMIC PROGRAMMING AND PATTERN SEARCH TECHNIQUES
Author(s) -
Erickson L. E.,
Fan L. T.,
Lee E. S.,
Meyer D. L.
Publication year - 1969
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.1752-1688.1969.tb04899.x
Subject(s) - mathematical optimization , hydroelectricity , flood control , nonlinear programming , computer science , nonlinear system , simulated annealing , pattern search , dynamic programming , flood myth , engineering , mathematics , philosophy , physics , theology , electrical engineering , quantum mechanics
A fairly realistic nonlinear model of a water reservoir system with multiple uses has been developed based on available data, and the optimum of the system based on the developed model has been determined by the combined use of dynamic programming and the pattern search techniques. Both the simplex search and the Hooke and Jeeves pattern search have been used. The approach in modeling and optimization can treat complex inequality constraints. The benefits or losses resulting from four purposes or uses of water, namely, urban water supply, hydroelectric power generation, irrigation, and recreation, are taken into account in the profit function. Other uses such as flood control, navigation, and fish and wildlife enhancement are considered indirectly by the use of inequality constraints. It appears that the approach developed in this work can treat a water resource allocation problem involving complex inequality constraints.