跨流域供水水库群联合调度的半向量双层规划模型研究  

A Semivectorial Bilevel Programming Model of Inter-basin Water Transfer-supply Project

作　　者：吕一兵[1] 万仲平[2] 胡铁松[3] 郭旭宁 LYU Yibing;WAN Zhongping;HU Tiesong;GUO Xuning(School of Information and Mathematics,Yangtze University,Jingzhou 434023,China;School of Information and Mathematics,Wuhan University,Wuhan 430072,China;State Key Laboratory of Water Resources and Hydropower Engineering Science,Wuhan University,Wuhan 430072,China;General Institute of Water Resources and Hydropower Planning and Design,Beijing 100120,China)

机构地区：[1]长江大学信息与数学学院,湖北荆州434023 [2]武汉大学数学与统计学院,湖北武汉430072 [3]武汉大学水资源与水电工程科学国家重点实验室,湖北武汉430072 [4]水利部水利水电规划设计总院,北京100120

出　　处：《运筹与管理》2023年第4期8-13,共6页Operations Research and Management Science

基　　金：国家自然科学基金资助项目(11771058,12271061);湖北省杰出青年基金资助项目(2019CFA088)。

摘　　要：跨流域水库群联合调度已成为解决我国水资源时空分配不均问题的一种可行、有效手段。针对已有跨流域水库群联合调度的单目标双层规划模型可能无法得到最优调水规则和供水规则的问题,本文以接近流域间预期调配水量和各受水水库弃水量最小为上层目标函数,水库期望供水质量与实际供水质量的差值最小为下层目标函数,构建了跨流域供水水库群联合调度的半向量双层规划模型,并针对模型的结构特点,设计了求解其“乐观最优解”的并行种群混合进化的粒子群算法。最后,以四种调水情境为例,验证了本文所建模型的可行性;另外,分析表明相比于已有的跨流域水库群联合调度的单目标双层规划模型,本文所构建的半向量双层规划模型可以使各水库主要用水户广义缺水指数降低15%~25%,进一步证实了所建模型的有效性。Freshwater resources are the basis for the survival and development of human society,as well as the basic and strategic resources for the healthy and sustainable development of the national economy.According to the statistics,China is a country rich in freshwater resources in the world,and also one of the countries with the poorest per capita freshwater resources.Therefore,the protection and rational use of freshwater resources has attracted the high attention of the Chinese government.On the other hand,the spatiotemporal distribution of freshwater resources in China is extremely uneven,which does not match the distribution of population,cultivated land,minerals and other resources.Therefore,it is necessary to rationally allocate the limited freshwater resources in order to maximize its effectiveness.At present,the joint operation of inter-basin reservoirs has become a feasible and effective means to solve the problem of uneven distribution of water resources in time and space in China.In the existing single objective bilevel programming model for joint operation of inter-basin water supply reservoirs,which is established by the authors in the early stage,the maximum weighted sum of the water supply guarantee rate of the reservoir to each water user is taken as the lower objective function and the weight is a fixed constant.It should be noted that the above approach may not guarantee the optimal regulation of water transfer and supply,because different water transfer and supply rules correspond to different weights.For the above defects,in this paper the semivectorialbilevel programming model for deriving the inter-basin multi-reservoir operating rule is constructed.The semivectorial bilevel programming model constructed in this paper takes the minimum near to the expected water allocation and the abandoned water of the receiving reservoirs as the upper level objective,and the minimum differentials between expected and actual water supply indexes of multi-reservoir system as the lower level objectives.Following t

关 键 词：跨流域调水 水库群 联合优化调度 调度规则 半向量双层规划 

分 类 号：O221[理学—运筹学与控制论]