Xu Jiuping, Hou Shuhua, Yao Liming, Li Chaozhi
State Key & Laboratory of Hydraulics and Mountain River Engineering, Sichuan University, Chengdu, 610064, People's Republic of China.
Uncertainty Decision-Making Laboratory, Sichuan University, Chengdu, 610064, People's Republic of China.
Environ Sci Pollut Res Int. 2017 Jul;24(21):17741-17759. doi: 10.1007/s11356-017-9275-z. Epub 2017 Jun 10.
This paper presents a bi-level optimization waste load allocation programming model under a fuzzy random environment to assist integrated river pollution control. Taking account of the leader-follower decision-making in the water function zones framework, the proposed approach examines the decision making feedback relationships and conflict coordination between the river basin authority and the regional Environmental Protection Agency (EPA) based on the Stackelberg-Nash equilibrium strategy. In the pollution control system, the river basin authority, as the leader, allocates equitable emissions rights to different subareas, and the then subarea EPA, as the followers, reallocates the limited resources to various functional zones to minimize pollution costs. This research also considers the uncertainty in the water pollution management, and the uncertain input information is expressed as fuzzy random variables. The proposed methodological approach is then applied to Tuojiang River in China and the bi-level linear programming model solutions are achieved using the Karush-Kuhn-Tucker condition. Based on the waste load allocation scheme results and various scenario analyses and discussion, some operational policies are proposed to assist decision makers (DMs) cope with waste load allocation problem for integrated river pollution control for the overall benefits.
本文提出了一种模糊随机环境下的双层优化废物负荷分配规划模型，以辅助河流综合污染控制。考虑到水功能区框架中的领导者-追随者决策，该方法基于斯塔克尔伯格-纳什均衡策略，研究了流域管理部门与区域环境保护局（EPA）之间的决策反馈关系和冲突协调。在污染控制系统中，流域管理部门作为领导者，向不同子区域分配公平的排放权，然后子区域的EPA作为追随者，将有限的资源重新分配到各个功能区，以最小化污染成本。本研究还考虑了水污染管理中的不确定性，不确定的输入信息表示为模糊随机变量。然后将所提出的方法应用于中国的沱江，并使用卡罗需-库恩-塔克条件获得双层线性规划模型的解。基于废物负荷分配方案的结果以及各种情景分析和讨论，提出了一些运营政策，以帮助决策者应对河流综合污染控制中的废物负荷分配问题，实现整体效益。
