Title
Multi-level facility location as the maximization of a submodular set function.
Abstract
•We study the multi-level uncapacitated facility location problem.•We model it as two different combinatorial optimization problems.•The set function associated with the first problem is not submodular.•The set function associated with the second problem is submodular.•Submodularity is not a property intrinsic to a problem but rather to its representation.
Year
DOI
Venue
2015
10.1016/j.ejor.2015.05.082
European Journal of Operational Research
Keywords
Field
DocType
Submodularity,Multi-level facility location
Set function,Mathematical optimization,Vertex (geometry),Submodular set function,Facility location problem,Representation (mathematics),1-center problem,Optimization problem,Mathematics,Maximization
Journal
Volume
Issue
ISSN
247
3
0377-2217
Citations 
PageRank 
References 
7
0.48
18
Authors
3
Name
Order
Citations
PageRank
Camilo Ortiz-Astorquiza1141.94
Ivan Contreras2163.66
Gilbert Laporte31469.53