Article(id=1222963546057593659, tenantId=1146029695717560320, journalId=1205116964453384197, issueId=1222963536863678929, articleNumber=null, orderNo=null, doi=10.20040/j.cnki.1000-7709.2023.20221224, pmid=null, cstr=null, oa=null, hot=null, price=null, onlineType=0, articleFormat=0, articleType=null, articleTypeStr=null, receivedDate=1654876800000, receivedDateStr=2022-06-11, revisedDate=1658073600000, revisedDateStr=2022-07-18, acceptedDate=null, acceptedDateStr=null, onlineDate=1769506830944, onlineDateStr=2026-01-27, pubDate=1682352000000, pubDateStr=2023-04-25, doiRegisterDate=null, doiRegisterDateStr=null, onlineIssueDate=1769506830944, onlineIssueDateStr=2026-01-27, onlineJustAcceptDate=null, onlineJustAcceptDateStr=null, onlineFirstDate=null, onlineFirstDateStr=null, sourceXml=null, magXml=null, createTime=1769506830944, creator=13701087609, updateTime=1769506830944, updator=13701087609, issue=Issue{id=1222963536863678929, tenantId=1146029695717560320, journalId=1205116964453384197, year='2023', volume='41', issue='4', pageStart='1', pageEnd='220', issueExtLink='null', onlineDate='null', pubDate='null', beforeIssueId=null, nextIssueId=null, price=null, status=1, issueComplete=1, articleOrder=1, issueType=-1, specialIssue=null, createTime=1769506828752, creator=13701087609, updateTime=1769508076664, updator=13701087609, preIssue=null, nextIssue=null, ext={EN=IssueExt(id=1222968771057279321, tenantId=1146029695717560320, journalId=1205116964453384197, issueId=1222963536863678929, language=EN, specialIssueTitle=, coverIllustrator=null, specialIssueEditor=, specialIssueAbout=), CN=IssueExt(id=1222968771057279322, tenantId=1146029695717560320, journalId=1205116964453384197, issueId=1222963536863678929, language=CN, specialIssueTitle=, coverIllustrator=null, specialIssueEditor=, specialIssueAbout=)}, issueFiles=null}, startPage=56, endPage=60, ext={EN=ArticleExt(id=1222963546384749404, articleId=1222963546057593659, tenantId=1146029695717560320, journalId=1205116964453384197, language=EN, title=Application of Ameliorative Butterfly Optimization Algorithm in Multi-objective Optimal Allocation of Water Resources in Handan City, columnId=1222925279849341011, journalTitle=Water Resources and Power, columnName=HYDROLOGY, WATER RESOURCES AND ENVIRONMENT, runingTitle=null, highlight=null, articleAbstract=

Optimal allocation of water resources is an important method to effectively relieve the contradiction between the supply and demand of water resources in regions. The traditional butterfly optimization algorithm (BOA) has some defects, such as low search accuracy, slow convergence speed, easy to fall into local optimization and can not be directly used to solve multi-objective optimal allocation of water resources problems. It was improved by introducing the methods of fast non dominated sorting, congestion and elite strategy, and the superiority of the ameliorative butterfly optimization algorithm (ABOA) was verified by using ZTD function. Finally, the ABOA was applied to the optimal allocation model of water resources in Handan, and the scheme with the least water shortage was selected as the final scheme from the Pareto front. The Handan water resources optimal allocation in 2035 (p=50%) yielded a total water demand of 2.74 billion cubic meters, a total water distribution of 2.44 billion cubic meters, and the water shortage was 298 million cubic meters, and the water shortage rate was 10.9%. Domestic and ecological water demand could be fully met. However, the primary, secondary and tertiary sectors were still facing water shortages in different regions, which need to be alleviated by water conservation. The research results can provide a new reference for the solution of multi-objective optimal allocation of water resources.

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水资源优化配置是有效缓解区域水资源供需矛盾的重要方法和手段。针对传统蝴蝶优化算法（BOA）在高效快速地求解多目标水资源优化配置问题时存在的搜索精度低、收敛速度慢、易陷入局部最优及不能直接用于多目标问题求解等缺陷，通过引入快速非支配排序、拥挤度及精英策略方法对其进行了改进，利用ZTD函数验证了改进蝴蝶优化算法（ABOA）的优越性，最后将ABOA应用于邯郸市水资源优化配置模型求解中，并从帕累托前沿中选择了缺水量最少为最终方案。结果表明，邯郸市2035年（p=50%）总需水量为27.40×10⁸m³，总分配水量为24.42×10⁸m³，缺水量为2.98×10⁸m³，缺水率为10.9%。其中生活和生态需水均能得到完全满足，第一、二、三产业在不同区域仍面临缺水问题，需大力开展节约用水来缓解。研究结果可为多目标水资源优化配置的求解提供参考。

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常一帆（1997-），女，硕士研究生，研究方向为水文水资源，E-mail：13223022656@163.com

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常一帆（1997-），女，硕士研究生，研究方向为水文水资源，E-mail：13223022656@163.com

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