Compositions of Graphs and Polyhedra II: Stable Sets
SIAM Journal on Discrete Mathematics
Wheel inequalities for stable set polytopes
Mathematical Programming: Series A and B
A branch-and-bound algorithm for the transportation problem with location of p transshipment points
Computers and Operations Research
A parallel branch-and-bound algorithm for multicommodity location with balancing requirements
Computers and Operations Research
Computers and Operations Research
Facet Obtaining Procedures for Set Packing Problems
SIAM Journal on Discrete Mathematics
New facets for the set packing polytope
Operations Research Letters
Operations Research Letters
Semi-Lagrangian relaxation applied to the uncapacitated facility location problem
Computational Optimization and Applications
Solving the two-stage capacitated facility location problem by the lagrangian heuristic
ICCL'12 Proceedings of the Third international conference on Computational Logistics
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The two-stage uncapacitated facility location problem is considered. This problem involves a system providing a choice of depots and plants, each with an associated location cost, and a set of demand points which must be supplied, in such a way that the total cost is minimized. The formulations used until now to approach the problem were symmetric in plants and depots. In this paper the asymmetry inherent to the problem is taken into account to enforce the formulation which can be seen like a set packing problem and new facet defining inequalities for the convex hull of the feasible solutions are obtained. A computational study is carried out which illustrates the interest of the new facets. A new family of facets recently developed, termed lifted fans, is tested with success.