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A dual-interval fixed-mix stochastic programming method for water resources management under uncertainty
Institution:1. Institute of Systems Sciences, Innovation and Sustainability Research, University of Graz, Merangasse 18/1, A-8010 Graz, Austria;2. Department of Forest and Soil Sciences, BOKU – University of Natural Resources and Life Sciences, Konrad-Lorenz-Strasse 24, A-3430 Tulln, Austria;1. Institute of Transportation Studies, University of California, Davis, 1605 Tilia Street, Suite #100, Davis, CA 95616, USA;2. Department of Civil and Environmental Engineering, University of California, Davis, 1 Shields Avenue, Davis, CA 95616, USA;1. Hanoi University of Science (HUS), Vietnam National University, No. 19, Le Thanh Tong, Hoan Kiem, Hanoi, Viet Nam;2. Institute of Chemistry, Vietnam Academy of Science and Technology (VAST), A18 – No. 18 Hoang Quoc Viet, Cau Giay, Hanoi, Viet Nam;3. International Research Centre for River Basin Environment (ICRE), University of Yamanashi, 4-3-11 Takeda, Kofu, Yamanashi 400-8511, Japan;1. Faculty of Engineering, University of Regina, Regina, Saskatchewan S4S 0A2, Canada;2. Institute for Energy, Environment and Sustainable Communities, University of Regina, Regina, Saskatchewan S4S 0A2, Canada;1. Center for Agricultural Water Research in China, College of Water Resources and Civil Engineering, China Agricultural University, Beijing 100083, China;2. Department of Agricultural and Biological Engineering, Purdue University, West Lafayette, IN 47907, USA
Abstract:In this study, a dual-interval fixed-mix stochastic programming (DFSP) method is developed for planning water resources management systems under uncertainty. DFSP incorporates interval-parameter programming (IPP) and fuzzy vertex analysis (FVA) within a fixed-mix stochastic programming (FSP) framework to address uncertain parameters described as probability distributions and dual intervals. It can also be used for analyzing various policy scenarios that are associated with different levels of economic consequences since penalties are exercised with recourse actions against any infeasibility. A real case for water resources management planning of Zhangweinan River Basin in China is then conducted for demonstrating the applicability of the developed DFSP method. Solutions in association with α-cut levels are generated by solving a set of deterministic submodels, which are useful for generating a range of decision alternatives under compound uncertainties. The results can help to identify desired water-allocation schemes for local sustainable development that the prerequisite water demand can be guaranteed when the available water resource is scarce.
Keywords:Stochastic program  Vertex analysis  Planning  Water resources  Agricultural development  Uncertainty
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