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JOURNAL OF HYDROELECTRIC ENGINEERING ›› 2016, Vol. 35 ›› Issue (3): 36-46.doi: 10.11660/slfdxb.20160305

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Study on water resources allocation in Shanxi in conditions of uncertainty

  

  • Online:2016-03-25 Published:2016-03-25

Abstract: This paper presents a study on the water resources allocation in Shanxi province to achieve a balance between supply and demand of water resources. First, we formulate a three-level water allocation framework (3-WRAF) suitable for the water resources supply and demand system of this province, including its water divisions, administrative divisions, and water use industries. Then, based on 3-WRAF we develop a two-stage water scheduling model (T-WRAP) considering the given plan of initial allocation and the actual situations of water resources. There exist strong stochastic and fuzzy uncertainties in water supplies and demands, water economic benefits, etc. under different scenarios of precipitation, and therefore this T-WRAP model is converted into a two-stage stochastic fuzzy programming model for water resources allocation (TSF-WRAP). Finally, TSF-WRAP is solved by making compromises between the satisfaction degree of objective and the feasible degree of constraints. Results show that optimal water scheduling plans for Shanxi can be achieved for different scenarios of precipitation.

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