基于IMOCS算法的跨流域水资源多目标优化调配  

Multi-objective optimal allocation of inter-basin water resources based on improved multi-objective cuckoo search algorithm

作　　者：席海潮 解阳阳 刘赛艳 毛青 张钦 胡华清 刘辰烨 XI Haichao;XIE Yangyang;LIU Saiyan;MAO Qing;ZHANG Qin;HU Huaqing;LIU Chenye(Nanjing Water Conservancy Planning and Design Institute Co,Lid,Nanjing 210000,China;College of Hydraulic Science and Engineering Yangzhou University,Yangzhou 225008,China;Engineering Research Center of High-efficiency and Energy-saving Large Axial Flow Pumping Station,Jiangsu Province,Yangzhou University,Yangzhou 225009,China;Modern Rural Water Resources Research Institute,Yangzhou University,Yangzhou 225008,China)

机构地区：[1]南京市水利规划设计院股份有限公司,南京210000 [2]扬州大学水利科学与工程学院,江苏扬州225009 [3]江苏省高效节能大型轴流泵站工程研究中心,江苏扬州225009 [4]扬州大学现代农村水利研究院,江苏扬州225009

出　　处：《南水北调与水利科技（中英文）》2024年第5期946-958,共13页South-to-North Water Transfers and Water Science & Technology

基　　金：国家自然科学基金项目(42401010);江苏省高等学校基础科学(自然科学)研究项目资助(24KJB570005);江苏省高效节能大型轴流泵站工程研究中心开放课题项目(ECHEAP013);2024年度扬州大学人文社会科学研究基金项目(xjj2024-38)。

摘　　要：为有效求解跨流域水资源多目标优化调配问题,提出一种改进多目标布谷鸟算法(improved multi-objective cuckoo search algorithm,IMOCS)。针对多目标布谷鸟优化算法(multi-objective cuckoo search algorithm,MOCS)收敛速度慢、容易陷入局部最优解的缺点,引入混沌理论和变异机制,采用自适应发现概率和步长改进MOCS,形成IMOCS算法。以南水北调东线工程江苏段为例,构建跨流域水资源多目标调配模型,分别采用IMOCS和MOCS求解模型,并运用基于组合赋权的非负矩阵分解法对2种算法所得的Pareto解集进行评价。结果表明:IMOCS在收敛性、多样性和综合性能方面优于MOCS,能够得到更高质量的Pareto解集;相较于50%、75%和95%来水频率下的MOCS所求解的最优配置方案,IMOCS所求解的最优配置方案缺水总量减少0.21亿、0.51亿和0.07亿m~3,损失水量分别减少了0.13亿、1.53亿和1.11亿m~3。因此,IMOCS可为跨流域水资源多目标优化配置计算提供有效的算法参考。For inter-basin water transfer projects,the water conflict between society,economy,ecology,and other sectors makes the water allocation process more complicated.The optimal allocation of water resources was one of the most effective ways to alleviate the conflict between water supply and demand.It was necessary to implement an effective water resources optimization allocation concept in inter-basin water transfer projects to ensure the efficient implementation of inter-basin water transfer projects.This study presents an improved multi-objective cuckoo algorithm to effectively solve the multi-objective optimal allocation problem of inter-basin water resources.To address the shortcomings of multi-objective cuckoo algorithm such as slow convergence speed and easy to fall into local optimal solutions,chaos theory and variation mechanism were introduced,and adaptive discovery probability and step size were used to improve multi-objective cuckoo algorithm and enhance the overall performance of improved multi-objective cuckoo algorithm.A water resources optimal allocation model of the Jiangsu section of the South-to-North Water Transfers Project was established.Improved multi-objective cuckoo algorithm and multi-objective cuckoo algorithm were adopted to solve the water resources optimal allocation model,respectively.A non-negative matrix factorization method based on combined weighting was used for scheme evaluation.The results show that:improved multi-objective cuckoo algorithm was better than multi-objective cuckoo algorithm in terms of convergence,distribution,and overall performance,and was capable of yielding higher-quality Pareto solution sets;Compared with the optimal allocation solution solved by multi-objective cuckoo algorithm under the 50%,75%,and 95%incoming water conditions,the total water shortage of the optimal allocation solution solved by improved multi-objective cuckoo algorithm was reduced by 21 million m^(3),51 million m^(3) and 7 million m^(3),and the water loss was reduced by 13 million m^(3),15

关 键 词：改进多目标布谷鸟算法 多目标优化 水资源优化配置 南水北调东线工程江苏段 

分 类 号：TV213.9[水利工程—水文学及水资源]