Title
Branch and Price for Large-Scale Capacitated Hub Location Problems with Single Assignment
Abstract
This paper presents a branch-and-price algorithm for the capacitated hub location problem with single assignment, in which Lagrangean relaxation is used to obtain tight lower bounds of the restricted master problem. A lower bound that is valid at any stage of the column generation algorithm is proposed. The process to obtain this valid lower bound is combined with a constrained stabilization method that results in a considerable improvement on the overall efficiency of the solution algorithm. Numerical results on a battery of benchmark instances of up to 200 nodes are reported. These seem to be the largest instances that have been solved to optimality for this problem.
Year
DOI
Venue
2011
10.1287/ijoc.1100.0391
INFORMS Journal on Computing
Keywords
Field
DocType
hub location,lagrangean relaxation,column generation.
Single assignment,Column generation,Mathematical optimization,Upper and lower bounds,Branch and price,Hub location problem,Mathematics
Journal
Volume
Issue
ISSN
23
1
1091-9856
Citations 
PageRank 
References 
17
0.82
20
Authors
3
Name
Order
Citations
PageRank
Ivan Contreras130717.90
Juan A. Díaz217814.00
Elena Fernández315710.37