Alvarez-Vázquez, L. J.; Martínez, A.; Rodríguez, C.; Vázquez-Méndez, M. E. Numerical optimization for the location of wastewater outfalls. (English) Zbl 1013.90088 Comput. Optim. Appl. 22, No. 3, 399-417 (2002). 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). Cited in 14 Documents MSC: 90B85 Continuous location 65K05 Numerical mathematical programming methods 90C90 Applications of mathematical programming Keywords:optimal location of wastewater outfalls; interior point algorithm; Nelder-Mead method; duality method; optimal control Software:fminsearch PDFBibTeX XMLCite \textit{L. J. Alvarez-Vázquez} et al., Comput. Optim. Appl. 22, No. 3, 399--417 (2002; Zbl 1013.90088) Full Text: DOI