Optimization Online


On the integrality of the uncapacitated facility location polytope

Mourad Baiou(baiou***at***cust.univ-bpclermont.fr)
Francisco Barahona(barahon***at***us.ibm.com)

Abstract: We study a system of linear inequalities associated with the uncapacitated facility location problem. We show that this system defines a polytope with integer extreme points if and only if the graph does not contain a certain type of odd cycles. We also derive odd cycle inequalities and give a separation algorithm.

Keywords: facility location, polyhedral combinatorics

Category 1: Combinatorial Optimization (Polyhedra )

Category 2: Applications -- Science and Engineering (Facility Planning and Design )


Download: [PDF]

Entry Submitted: 10/31/2007
Entry Accepted: 11/01/2007
Entry Last Modified: 10/31/2007

Modify/Update this entry

  Visitors Authors More about us Links
  Subscribe, Unsubscribe
Digest Archive
Search, Browse the Repository


Coordinator's Board
Classification Scheme
Give us feedback
Optimization Journals, Sites, Societies
Mathematical Programming Society