An efficient Benders decomposition for the p-median problem
Optimization and Control
2021-12-10 v2
Abstract
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.
Cite
@article{arxiv.2111.13405,
title = {An efficient Benders decomposition for the p-median problem},
author = {Cristian Durán Mateluna and Zacharie Alès and Sourour Elloumi},
journal= {arXiv preprint arXiv:2111.13405},
year = {2021}
}