Title
A Lagrangian heuristic for the multicommodity capacitated location problem with balancing requirements
Abstract
We consider the multicommodity capacitated location problem with balancing requirements. This problem has applications in transportation and was introduced in the context of planning the movements of containers between ports and terminals, identified as depots in the problem formulation. We propose a Lagrangian relaxation based on a reformulation of the problem that allows the subproblem to be decomposed by depot, giving rise to a series of continuous knapsack subproblems. We optimize the Lagrangian dual by a bundle method and we develop a Lagrangian heuristic based on slope scaling. Numerical results are presented on a set of large-scale benchmark instances. We obtain good quality solutions within short computing times using the Lagrangian heuristic approach.
Year
DOI
Venue
2022
10.1016/j.cor.2022.105720
COMPUTERS & OPERATIONS RESEARCH
Keywords
DocType
Volume
Multicommodity capacitated location with balancing requirements, Lagrangian relaxation, Slope scaling, Bundle method
Journal
142
ISSN
Citations 
PageRank 
0305-0548
0
0.34
References 
Authors
0
3
Name
Order
Citations
PageRank
Anis Kadri100.34
Oumar Kone200.34
Bernard Gendron368849.92