Title
Exact Solution of Large-Scale Hub Location Problems with Multiple Capacity Levels
Abstract
This paper presents an extension of the classical capacitated hub location problem with multiple assignments in which the amount of capacity installed at the hubs is part of the decision process. An exact algorithm based on a Benders decomposition of a strong path-based formulation is proposed to solve large-scale instances of two variants of the problem: the splittable and nonsplittable commodities cases. The standard decomposition algorithm is enhanced through the inclusion of features such as the generation of strong optimality cuts and the integration of reduction tests. Given that in the nonsplittable case the resulting subproblem is an integer program, we develop an efficient enumeration algorithm. Extensive computational experiments are performed to evaluate the efficiency and robustness of the proposed algorithms. Computational results obtained on benchmark instances with up to 300 nodes and five capacity levels confirm their efficiency.
Year
DOI
Venue
2012
10.1287/trsc.1110.0398
Transportation Science
Keywords
Field
DocType
computational result,exact solution,multiple capacity levels,large-scale hub location problems,efficient enumeration algorithm,nonsplittable commodities case,nonsplittable case,benders decomposition,standard decomposition algorithm,proposed algorithm,exact algorithm,extensive computational experiment,capacity level,algorithms,traveling salesman problem,game theory
Integer,Exact solutions in general relativity,Mathematical optimization,Exact algorithm,Robustness (computer science),Travelling salesman problem,Game theory,Decision process,Mathematics,Benders' decomposition
Journal
Volume
Issue
ISSN
46
4
0041-1655
Citations 
PageRank 
References 
13
0.57
30
Authors
3
Name
Order
Citations
PageRank
Ivan Contreras130717.90
Jean-François Cordeau22604127.77
Gilbert Laporte38666612.13