English

The probabilistic p-center problem: Planning service for potential customers

Optimization and Control 2024-03-13 v1

Abstract

This work deals with the probabilistic p-center problem, which aims at minimizing the expected maximum distance between any site with demand and its center, considering that each site has demand with a specific probability. The problem is of interest when emergencies may occur at predefined sites with known probabilities. For this problem we propose and analyze different formulations as well as a Variable Neighborhood Search heuristic. Computational tests are reported, showing the potentials and limits of each formulation, the impact of their enhancements, and the effectiveness of the heuristic.

Keywords

Cite

@article{arxiv.2403.07775,
  title  = {The probabilistic p-center problem: Planning service for potential customers},
  author = {Luisa I. Martínez-Merino and Maria Albareda-Sambola and Antonio M. Rodríguez-Chía},
  journal= {arXiv preprint arXiv:2403.07775},
  year   = {2024}
}
R2 v1 2026-06-28T15:17:29.697Z