Numerical Optimization for the Location of Wastewater Outfalls

Authors:
L. J. Alvarez-Vázquez;A. Martínez;C. Rodríguez;M. E. Vázquez-Méndez
Affiliations:
Departamento de Matemática Aplicada, ETSI Telecomunicación, Universidad de Vigo, 36200 Vigo, Spain. lino@dma.uvigo.es;Departamento de Matemática Aplicada, ETSI Telecomunicación, Universidad de Vigo, 36200 Vigo, Spain. aurea@dma.uvigo.es;Departamento de Matemática Aplicada, Facultad de Matemáticas, Universidad de Santiago de Compostela, 15782 Santiago, Spain. carmenri@usc.es;Departamento de Matemática Aplicada, Facultad de Matemáticas, Universidad de Santiago de Compostela, 15782 Santiago, Spain. ernesto@lugo.usc.es
Venue:
Computational Optimization and Applications
Year:
2002

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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).