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Erschienen in:
2014 | OriginalPaper | Buchkapitel
Location and Management of a New Industrial Plant
verfasst von : Miguel E. Vázquez-Méndez, Lino J. Alvarez-Vázquez, Néstor García-Chan, Aurea Martínez
Erschienen in: Progress in Industrial Mathematics at ECMI 2012
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Abstract
Within the framework of numerical simulation and multi-objective control of partial differential equations (PDE), in this work we deal with the problem of determining the optimal location of a new industrial plant. We begin presenting a mathematical model (a system of nonlinear parabolic PDE) for the numerical simulation of air pollution. Based on this model, and taking into account economic and ecological objectives, we formulate the problem in the field of multi-objective optimal control. We analyze the problem from a cooperative viewpoint, recalling the standard concept of Pareto-optimal solution, and pointing out the Pareto-frontier as a very useful tool in the decision-making process. Finally, some preliminary results for a hypothetical situation in the region of Galicia (NW Spain) are also presented.