Title
Benders Decomposition for Large-Scale Uncapacitated Hub Location
Abstract
This paper describes an exact algorithm capable of solving large-scale instances of the well-known uncapacitated hub location problem with multiple assignments. The algorithm applies Benders decomposition to a strong path-based formulation of the problem. The standard decomposition algorithm is enhanced through the inclusion of several features such as the use of a multicut reformulation, the generation of strong optimality cuts, the integration of reduction tests, and the execution of a heuristic procedure. Extensive computational experiments were performed to evaluate the efficiency and robustness of the algorithm. Computational results obtained on classical benchmark instances (with up to 200 nodes) and on a new and more difficult set of instances (with up to 500 nodes) confirm the efficiency of the algorithm.
Year
DOI
Venue
2011
10.1287/opre.1110.0965
Operations Research
Keywords
Field
DocType
computational result,large-scale instance,classical benchmark instance,strong path-based formulation,strong optimality cut,large-scale uncapacitated hub location,benders decomposition,standard decomposition algorithm,difficult set,extensive computational experiment,heuristic procedure
Mathematical optimization,Exact algorithm,Algorithm,Robustness (computer science),Mathematics,Hub location problem,Benders' decomposition,Heuristic procedure
Journal
Volume
Issue
ISSN
59
6
0030-364X
Citations 
PageRank 
References 
25
0.97
17
Authors
3
Name
Order
Citations
PageRank
Ivan Contreras130717.90
Jean-François Cordeau22604127.77
Gilbert Laporte38666612.13