Articles scientifiques
L. J Alvarez-Vázquez, A. Martínez, C. Rodríguez, and M. E Vázquez-Méndez (2002)
Numerical optimization for the location of wastewater outfalls
Computational Optimization and Applications, 22(3):399-417.
In this paper we solve a constrained optimal control problem related to the location of the wastewater outfalls in a sewage disposal system. This is a problem where the control is the position and the constraints are non-convex and pointwise, which makes difficult its resolution. We discretize the problem by means of a characteristics-Galerkin method and we use three algorithms for the numerical resolution of the discretized optimization problem: an interior point algorithm, the Nelder-Mead simplex method and a duality method. Finally, we compare the numerical results obtained by applying the described methods for a realistic problem posed in the ría of Vigo (Galicia, Spain).
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