Title
The Double-Assignment Plant Location Problem With Co-Location
Abstract
In this paper, a new variant of the Simple Plant Location Problem is proposed. We consider additional conditions in the classic location-allocation problem for clients and facilities. Namely, some pairs have to be served by a common plant. The resulting problem can be addressed with existing models for the case of single assignment. However, to the best of our knowledge, the proposed setting when each client must be assigned to a couple of facilities is still unexplored. We examine the implications of adding such new constraints to standard formulations of the SPLP with double assignment. We compare the resulting formulations from a theoretical point of view. After that, we focus on the study of one of the models, which turned out to be a set packing problem. All the clique facets are identified and a separation algo-rithm is devised. Although the separation problem is proved to be NP-hard, our computational experience shows that the separation algorithm is effective and efficient, reducing computational times and duality gaps for all the instances tested. (C) 2020 Elsevier Ltd. All rights reserved.
Year
DOI
Venue
2021
10.1016/j.cor.2020.105059
COMPUTERS & OPERATIONS RESEARCH
Keywords
DocType
Volume
Discrete location, Set packing, Clique facets, Separation heuristic
Journal
126
ISSN
Citations 
PageRank 
0305-0548
0
0.34
References 
Authors
0
2
Name
Order
Citations
PageRank
Alfredo Marín145332.98
Mercedes Pelegrin201.69