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Open AccessArticle

Multi-Objective Optimal Operation of the Inter-Basin Water Transfer Project Considering the Unknown Shapes of Pareto Fronts

by Jianjian Xu 1,2 and Dan Bai 1,*
1
State Key Laboratory of Eco-Hydraulics in Northwest Arid Region of China, Xi’an University of Technology, Xi’an 710048, China
2
Shanxi Province Institute of Water Resources and Electric Power Investigation and Design, Xi’an 710001, China
*
Author to whom correspondence should be addressed.
Water 2019, 11(12), 2644; https://doi.org/10.3390/w11122644
Received: 17 October 2019 / Revised: 28 November 2019 / Accepted: 11 December 2019 / Published: 14 December 2019
(This article belongs to the Section Hydrology and Hydrogeology)
Studies have shown that the performance of multi-objective evolutionary algorithms depends to a large extent on the shape of the Pareto fronts of the problem. Although, most existing algorithms have poor applicability in dealing with this problem, especially in the multi-objective optimization operation of reservoirs with unknown Pareto fronts. Therefore, this paper introduces an evolutionary algorithm with strong versatility and robustness named the Multi-Objective Evolutionary Algorithm with Reference Point Adaptation (AR-MOEA). In this paper, we take two water conservancy hubs (Huangjinxia and Sanhekou) of the Hanjiang to Wei River Water Diversion Project as example, and build a multi-objective operation model including water supply, ecology, and power generation. We use the AR-MOEA, the Non-dominated Sorting Genetic Algorithm II (NSGA-II), the Multi-Objective Evolutionary Algorithm based on Decomposition (MOEA/D) and the Indicator-Based Evolutionary Algorithm (IBEA) to search the optimal solutions, respectively. We analyze the performance of four algorithms and the operation rules in continuous dry years. The results indicate that (1) the AR-MOEA can overcome the difficulty of the shape and distribution of the unknown Pareto fronts in the multi-objective model. (2) AR-MOEA can improve the convergence and uniformity of the Pareto solution. (3) If we make full use of the regulation ability of the Sanhekou reservoir in the dry season, the water supply for coping with possible continuous dry years can be guaranteed. The study results contribute to the identification of the relationship among objectives, and is valued for water resources management of the Hanjiang to Wei River Water Diversion Project. View Full-Text
Keywords: AR-MOEA; reservoir optimization operation; unknown shapes of Pareto fronts; Hanjiang to Wei River Water Diversion Project AR-MOEA; reservoir optimization operation; unknown shapes of Pareto fronts; Hanjiang to Wei River Water Diversion Project
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Xu, J.; Bai, D. Multi-Objective Optimal Operation of the Inter-Basin Water Transfer Project Considering the Unknown Shapes of Pareto Fronts. Water 2019, 11, 2644.

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