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doi:10.3808/jei.201600334
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An Extended Two-stage Stochastic Programming Approach for Water Resources Management under Uncertainty
Abstract
In this study, extended two-stage stochastic programming with fuzzy variables is developed for water resources management under uncertainty. First, the problem is formulated and solved by an extended interval-parameter two-stage stochastic programming (ITSP) approach for retrieving water shortages. To this end, some alternatives are considered to retrieve the difference between the quantities of promised water-allocation targets and the actual allocated water. An extended ITSP is then developed for the problem under the fuzzy uncertainty by using fuzzy variables and solved using fuzzy chance-constrained programming based on the idea of possibility theory. Furthermore, an illustrative example is also given to clarify the methods discussed in this paper.
Keywords: water resources management, water shortages, extended two-stage programming, fuzzy chance-constrained programming, possibility theory
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