The Hub Location Problem with Comparisons of Compact Formulations: A Note

Setiawan, Fran, Bektas, Tolga ORCID: 0000-0003-0634-144X and Iris, Cagatay ORCID: 0000-0001-5422-354X (2025) The Hub Location Problem with Comparisons of Compact Formulations: A Note Transportation Research Part E: Logistics and Transportation Review, 194. 103902-. ISSN 1366-5545, 1878-5794

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Abstract

Hub location is a planning problem that involves choosing, from a set of nodes, a subset to designate as hub facilities, linking the hubs to the remaining nodes using a hub-and-spoke structure, and routing of flows on the resulting network. This paper presents theoretical and computational comparisons of the fundamental compact formulations of the p-hub location problem (p-HLP) for three allocation strategies, namely single, multiple and r-allocation. Our theoretical results show that path-based formulations o↵er the strongest linear programming relaxation. The computational experiments, run on three prominent datasets using a state-of-the-art commercial solver indicate that, flow-based formulations generally solve the largest number of instances to optimality and require the shortest solution time, especially for large-scale instances.

Item Type:	Article
Uncontrolled Keywords:	Hub location, Integer programming, Hub location models review, Single allocation hub location, Multiple allocation hub location
Divisions:	Faculty of Humanities & Social Sciences Faculty of Humanities & Social Sciences > School of Management
Depositing User:	Symplectic Admin
Date Deposited:	02 Dec 2024 09:43
Last Modified:	23 May 2026 09:34
DOI:	10.1016/j.tre.2024.103902
Related Websites:	Author Publisher
URI:	https://livrepository.liverpool.ac.uk/id/eprint/3188981
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