Title
Solving a dynamic facility location problem with partial closing and reopening
Abstract
Motivated by an industrial application, we consider a recently introduced multi-period facility location problem with multiple commodities and multiple capacity levels. The problem allows for the relocation of facilities, as well as for the temporary closing of parts of the facilities, while other parts remain open. In addition, it uses particular capacity constraints that involve integer rounding of the allocated demands. In this paper, we propose a strong formulation for the problem, as well as a hybrid heuristic that first applies Lagrangian relaxation and then constructs a restricted mixed-integer programming model based on the previously obtained Lagrangian solutions. Computational results for large-scale instances emphasize the usefulness of the heuristic in practice. While general-purpose mixed-integer programming solvers do not find feasible solutions for about half of the instances, the heuristic consistently provides high-quality solutions in short computing times, as well as tight bounds on their optimality.
Year
DOI
Venue
2016
10.1016/j.cor.2015.10.011
Computers & Operations Research
Keywords
Field
DocType
Facility location,Dynamic capacity adjustment,Lagrangian relaxation,Mixed-integer programming,Industrial application
Integer,Mathematical optimization,Heuristic,Programming paradigm,Lagrangian,Facility location problem,Rounding,Integer programming,Lagrangian relaxation,Mathematics
Journal
Volume
Issue
ISSN
67
C
0305-0548
Citations 
PageRank 
References 
6
0.44
18
Authors
5
Name
Order
Citations
PageRank
Sanjay Dominik Jena1404.03
Jean-François Cordeau22604127.77
Bernard Gendron368849.92
JenaSanjay Dominik460.44
CordeauJean-François52026.58