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Simultaneous Investment and Allocation Decisions Applied to Water Planning

Ronald D. Armstrong and Cleve E. Willis
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Ronald D. Armstrong: The University of Texas at Austin
Cleve E. Willis: University of Massachusetts

Management Science, 1977, vol. 23, issue 10, 1080-1088

Abstract: This paper develops models for water planning that simultaneously consider investment and allocation decisions. The framework is demonstrated for a region which includes the counties of San Luis Obispo and Santa Barbara in California. The quadratic discontinuous mathematical programming problems-resulting from such models are solved optimally by using generalized Benders decomposition. Benders decomposition is a method for breaking a larger problem into a series of manageable subproblems which yield feasible solutions to the overall system. In this case the decomposition is used to incorporate a quadratic programming allocation subproblem with an integer programming investment sequencing problem.

Date: 1977
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