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Numerical optimization for the location of wastewater outfalls. (English) Zbl 1013.90088

Summary: 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).

MSC:

90B85 Continuous location
65K05 Numerical mathematical programming methods
90C90 Applications of mathematical programming

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