New formulations for two location problems with interconnected facilities

Yerlan Kuzbakov and Ivana Ljubić

European Journal of Operational Research, 2024, vol. 314, issue 1, 51-65

Abstract: This paper studies two location problems with interconnected facilities. In the first problem, all customers need to be served by open facilities, and in the second (covering) variant a penalty is imposed for customers that cannot receive the service. Compared to the standard facility location setting, an additional constraint is imposed asking that all open facilities are interconnected, i.e., all open facilities need to be within a given radius of each other. These problems combine classical facility location aspects with network design, and we exploit this link to derive new mixed integer programming models. The strength of these models is investigated both theoretically and empirically. An extensive computational study is conducted on a set of benchmark instances from the literature, in which branch-and-cut, Benders decomposition and compact models are assessed in terms of the runtime and the resulting gaps.

Keywords: Combinatorial optimization; Discrete location problems; Network design; Branch-and-cut; Benders decomposition (search for similar items in EconPapers)
Date: 2024
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0377221723007464
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:ejores:v:314:y:2024:i:1:p:51-65

DOI: 10.1016/j.ejor.2023.09.030

Access Statistics for this article

European Journal of Operational Research is currently edited by Roman Slowinski, Jesus Artalejo, Jean-Charles. Billaut, Robert Dyson and Lorenzo Peccati

More articles in European Journal of Operational Research from Elsevier
Bibliographic data for series maintained by Catherine Liu ().