Pareto-optimal solutions for a wastewater treatment problem

✍ Scribed by L.J. Alvarez-Vázquez; N. García-Chan; A. Martínez; M.E. Vázquez-Méndez

• Publisher: Elsevier Science
• Year: 2010
• Tongue: English
• Weight: 1017 KB
• Volume: 234
• Category: Article
• ISSN: 0377-0427
• DOI: 10.1016/j.cam.2009.08.076

✦ Synopsis

In this paper we present an application of optimal control theory of partial differential equations combined with multi-objective optimization techniques to formulate and solve an economical-ecological problem related to the management of a wastewater treatment system. The problem is formulated as a parabolic multi-objective optimal control problem, and it is studied from a non-cooperative point of view (looking for a Nash equilibrium), and also from a cooperative point of view (looking for Pareto-optimal solutions ''better'' than the Nash equilibrium). In both cases we state the existence of solutions, give a useful characterization of them, and propose a numerical algorithm to solve the problem. Finally, a numerical experience for a real world situation in the estuary of Vigo (NW Spain) is presented.