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A metaheuristic for a numerical approximation to the mass transfer problem

Martha L. Avendaño-Garrido; José R. Gabriel-Argũelles; Ligia Quintana-Torres; Efrén Mezura-Montes — 2016

International Journal of Applied Mathematics and Computer Science

This work presents an improvement of the approximation scheme for the Monge-Kantorovich (MK) mass transfer problem on compact spaces, which is studied by Gabriel et al. (2010), whose scheme discretizes the MK problem, reduced to solve a sequence of finite transport problems. The improvement presented in this work uses a metaheuristic algorithm inspired by scatter search in order to reduce the dimensionality of each transport problem. The new scheme solves a sequence of linear programming problems...

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