OPTIMAL FINE OF WASTEWATER OUTFALL PROBLEM IN SHALLOW BODY OF WATER: A BILEVEL OPTIMIZATION APPROACH

作     者：Nava, Yosefat Solorzan, Andrei Watada, Junzo Kalashnikov, Vyacheslav Flores, Jose Guadalupe 

作者机构：Tecnol Monterrey Escuela Ingn & Ciencias Av Eugenio Garza Sada 2501 Sur Monterrey 64849 NL Mexico Waseda Univ Yawatanishi Ku 2-10-8-407 Kobai Kitakyushu Fukuoka 8080135 Japan 

出 版 物：《INTERNATIONAL JOURNAL OF INNOVATIVE COMPUTING INFORMATION AND CONTROL》 (Int. J. Innov. Comput. Inf. Control)

年 卷 期：2021年第17卷第4期

页      面：1305-1325页

核心收录：

学科分类：08[工学] 0812[工学-计算机科学与技术（可授工学、理学学位）] 

主　　题：Multi-agent systems Operational research in environment and climate change Nonlinear programming Pricing 

摘      要：This project aims to model the wastewater regulation problem as a bilevel optimization problem. Due to human activities such as industry, agriculture, and domestic use, many bodies of water have been affected by pollution. To remedy the problem of water quality Environmental Protection Agencies use environmental penalty functions. This enforces managers of wastewater treatment plants to find treatment strategies that meet water quality standards before discharging pollution to the environment. In the case of shallow bodies of water, the behavior of the wastewater dispersion is governed by the Navier-Stokes equation;therefore, the objective functions of the decision-makers have a nonlinear behavior relative to a leader-follower dynamic. To find the optimal penalty function we construct the emission concentration system solution and define the wastewater regulation problem as a bilevel optimization problem. The aim of this paper is threefold: First, it formulates the wastewater regulation problem as a bilevel optimization problem;second, it provides theoretical insight when the problem is reformulated to a single-level formulation using a Karush-Kuhn-Tucker condition approach;third, it develops discretization techniques that allow finding numerical solutions of the location of the wastewater regulation problem.