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Main Authors: Martínez-Merino, Luisa I., Albareda-Sambola, Maria, Rodríguez-Chía, Antonio M.
Format: Preprint
Published: 2024
Subjects:
Online Access:https://arxiv.org/abs/2403.07775
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author Martínez-Merino, Luisa I.
Albareda-Sambola, Maria
Rodríguez-Chía, Antonio M.
author_facet Martínez-Merino, Luisa I.
Albareda-Sambola, Maria
Rodríguez-Chía, Antonio M.
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2403_07775
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle The probabilistic p-center problem: Planning service for potential customers
Martínez-Merino, Luisa I.
Albareda-Sambola, Maria
Rodríguez-Chía, Antonio M.
Optimization and Control
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.
title The probabilistic p-center problem: Planning service for potential customers
topic Optimization and Control
url https://arxiv.org/abs/2403.07775