Abstract
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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Alvarez-Vázquez, L., Martínez, A., Rodríguez, C. et al. Numerical Optimization for the Location of Wastewater Outfalls. Computational Optimization and Applications 22, 399–417 (2002). https://doi.org/10.1023/A:1019767123324
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DOI: https://doi.org/10.1023/A:1019767123324