期刊
ADVANCES IN WATER RESOURCES
卷 31, 期 5, 页码 743-757出版社
ELSEVIER SCI LTD
DOI: 10.1016/j.advwatres.2008.01.010
关键词
sampling methods; genetic algorithm; local minima; nondifferentiable objective function
Management decisions involving groundwater supply and remediation often rely on optimization techniques to determine an effective strategy. We introduce several derivative-free sampling methods for solving constrained optimization problems that have not yet been considered in this field, and we include a genetic algorithm for completeness. Two well-documented community problems are used for illustration purposes: a groundwater supply problem and a hydraulic capture problem. The community problems were found to be challenging applications due to the objective functions being nonsmooth, nonlinear, and having many local minima. Because the results were found to be sensitive to initial iterates for some methods, guidance is provided in selecting initial iterates for these problems that improve the likelihood of achieving significant reductions in the objective function to be minimized. In addition, we suggest some potentially fruitful areas for future research. (C) 2008 Elsevier Ltd. All rights reserved.
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