Abstract
This work treats, within a multi-objective framework, of an economical-ecological problem related to the optimal management of a wastewater treatment system consisting of several purifying plants. The problem is formulated as a multi-objective parabolic optimal control problem and it is studied from a cooperative point of view, looking for Pareto-optimal solutions. The weighting method is used here to characterize the Pareto solutions of our problem. To obtain them, a numerical algorithm--based in a characteristics-Galerkin discretization--is proposed and numerical results for a real world situation in the estuary of Vigo (NW Spain) are also presented.
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