An efficient Benders decomposition for the p-median problem
Résumé
The p-median problem is a classic discrete location problem with several applications. It aims to open p sites while minimizing the sum of the distances of each client to its nearest open site. We study a Benders decomposition of the most efficient formulation in the literature. We prove that the Benders cuts can be separated by a polynomial time algorithm. The Benders decomposition also leads to a new compact formulation for the p-median problem. We implement a branch-and-Benders-cut approach that outperforms state-of-the-art methods on benchmark instances by an order of magnitude.
Fichier principal
Preprint - An efficient Benders decomposition for the p-median problem.pdf (395.71 Ko)
Télécharger le fichier
Origine | Fichiers produits par l'(les) auteur(s) |
---|