A scaleable projection‐based branch‐and‐cut algorithm for the p‐center problem

Elisabeth Gaar and Markus Sinnl

European Journal of Operational Research, 2022, vol. 303, issue 1, 78-98

Abstract: The p-center problem (pCP) is a fundamental problem in location science, where we are given customer demand points and possible facility locations, and we want to choose p of these locations to open a facility such that the maximum distance of any customer demand point to its closest open facility is minimized. State-of-the-art solution approaches of pCP use its connection to the set cover problem to solve pCP in an iterative fashion by repeatedly solving set cover problems. The classical textbook integer programming (IP) formulation of pCP is usually dismissed due to its size and bad linear programming (LP)-relaxation bounds.

Keywords: Location; p-center problem; Integer programming formulation; Lifting; Min-max objective (search for similar items in EconPapers)
Date: 2022
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:ejores:v:303:y:2022:i:1:p:78-98

DOI: 10.1016/j.ejor.2022.02.016

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