- Tytuł:
- A metaheuristic for a numerical approximation to the mass transfer problem
- Autorzy:
-
Avendaño-Garrido, M. L.
Gabriel-Argüelles, J. R.
Quintana-Torres, L.
Mezura-Montes, E. - Powiązania:
- https://bibliotekanauki.pl/articles/329972.pdf
- Data publikacji:
- 2016
- Wydawca:
- Uniwersytet Zielonogórski. Oficyna Wydawnicza
- Tematy:
-
Monge–Kantorovich mass transfer problem
finite dimensional linear programming
transport problem
metaheuristic algorithm
scatter search
programowanie skończenie wymiarowe
zadanie transportowe
algorytm metaheurystyczny - Opis:
- 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 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.
- Źródło:
-
International Journal of Applied Mathematics and Computer Science; 2016, 26, 4; 757-766
1641-876X
2083-8492 - Pojawia się w:
- International Journal of Applied Mathematics and Computer Science
- Dostawca treści:
- Biblioteka Nauki
Artykuł