@misc{Avendano-Garrido_Martha_L._A, author={Avendano-Garrido, Martha L. and Gabriel-Argüelles, José R. and Quintana-Torres, Ligia and Mezura-Montes, Efrén}, howpublished={online}, publisher={Zielona Góra: Uniwersytet Zielonogórski}, language={eng}, abstract={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.}, abstract={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 similar to the transport ones but with a lower dimension. The proposed metaheuristic is supported by a convergence theorem. Finally, examples with an exact solution are used to illustrate the performance of our proposal.}, type={artykuł}, title={A metaheuristic for a numerical approximation to the mass transfer problem}, keywords={Monge-Kantorovich mass transfer problem, finite dimensional linear programming, transport problem, metaheuristic algorithm, scatter search}, }