Authors: Brimberg, Jack
Todosijević, Raca 
Urošević, Dragan 
Mladenović, Nenad 
Affiliations: Computer Science 
Mathematical Institute of the Serbian Academy of Sciences and Arts 
Title: Efficient flow models for the uncapacitated multiple allocation p-hub median problem on non-triangular networks
Journal: Computers and Industrial Engineering
Volume: 162
First page: 107723
Issue Date: 1-Dec-2021
Rank: ~M21
ISSN: 0360-8352
DOI: 10.1016/j.cie.2021.107723
Abstract: 
This paper examines the uncapacitated multiple allocation p-hub median problem (UMApHMP) in a general setting where a given network may violate the triangle inequality, thus leading to flow paths with more than two hubs connecting origin-to-destination pairs. We present two improved flow formulations using a new ”augmented graph” that allows a substantial reduction in the number of constraints, and significant improvement in performance of a standard off-the-shelf MILP solver compared to the recent 4-index flow model proposed in Brimberg et al. (2020). Results presented even surpass the performance of specialized algorithms developed for solving the standard ”triangular” case. The linear programming relaxations of the presented models are also investigated.
Keywords: Flow formulations | Hub location | Multiple allocation | p-hub | Triangle inequality
Publisher: Elsevier

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