基于二层鲁棒优化的流域水资源全局均衡配置:以黑河为例  

Water Allocation Problem with Bi-level Robust Nonconvex Programming Model:A Case in Heihe River Basin

作　　者：姚黎明 徐忠雯 卢浩钧 陈旭东 Yao Liming;Xu Zhongwen;Lu Haojun;Chen Xudong(BusinessSchool,Sichuan University,Chengdu 610064,China;School of Environment,Nanjing University,Nanjing 210023,China)

机构地区：[1]四川大学商学院,四川成都610064 [2]南京大学环境学院,江苏南京210023

出　　处：《中国管理科学》2024年第8期285-296,共12页Chinese Journal of Management Science

基　　金：国家自然科学基金项目面上项目(71771157);国家自然科学基金项目重大项目(72293603)。

摘　　要：如何在(半)干旱的情况下考虑到各级决策者博弈行为并设计行之有效的水资源配置方案是我国面临的难题。气候变化、经济发展和人口增长等因素使得水资源的供给和需求的不确定性显著增加,而且其统计学分布特征也难以明确确定。为解决流域水资源全局均衡配置问题,构建了基于多种特征的模型,包括水文环境不确定性、斯坦伯格博弈和存在非凸目标函数。由于传统算法无法直接对该模型求解,因此需要开发新的算法来解决这一问题。因此,本文针对(半)干旱环境下流域初始水权和水使用权配置问题,构建了适应中国水情的二层鲁棒优化模型,并基于鲁棒优化、凸优化理论和分段线性方法,提出一种求解全局最优解的方法。最后,通过黑河流域实例验证,证明了此模型及求解方法的有效性。The United Nations Sustainable Development Goal 6 puts forward to improve water use efficiency while implementing integrated water resources management from a multi-scale perspective.However,how to design effective water resource allocation scheme in the situation of(semi)drought consider the game behavior of decision-makers is a severe problem in China.Firstly,climate change,economic development,population growth and other factors lead to a significant increase in the uncertainty in water supply and demand,of which its statistical distribution are difficult to be determined directly.Secondly,when adding hydrological environment uncertainty,Stackelberg game and non-convex objective function into a water resource allocation model,it would be difficult to solve.Therefore,to allocate initial water rights and water use rights in(semi-)arid environment,a new bi-level robust optimization model is proposed in this paper,moreover,the global optimal solution method based on robust optimization,convex optimization theory and piecewise linear method is needed and deigned.In this study,a bi-level multi-followers robust programming model is proposed for water allocation problems under uncertainty,wherein hierarchical optimization,polyhedral uncertainty sets,and a non-convex objective function coexist.The proposed deciding framework can suitably address resources allocation problems under uncertainty with multiple kinds of decision-makers.It is believed that our study makes a significant contribution to the literature.To some extent,prior studies have applied heuristics to solve analogous decision-making problems that include more than one hierarchy.These studies often obtained local solutions.However,the quality of the allocation strategy directly affects social progress and economic development.This predicament requires a global solution,which our work addresses.To be specific,in our threestage global approach,the first stage supports uncertain characterization and robust equivalent transformations.In the second stage,a sing

关 键 词：二层优化 鲁棒优化 全局最优解 水资源配置 

分 类 号：F203[经济管理—国民经济] C935[经济管理—管理学]