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Survivable Networks, Linear Programming Relaxations and the Parsimonious Property

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dc.creator Goemans, Michel X.
dc.creator Bertsimas, Dimitris J.
dc.date 2004-05-28T19:28:34Z
dc.date 2004-05-28T19:28:34Z
dc.date 1990-06
dc.date.accessioned 2013-10-09T02:38:29Z
dc.date.available 2013-10-09T02:38:29Z
dc.date.issued 2013-10-09
dc.identifier http://hdl.handle.net/1721.1/5217
dc.identifier.uri http://koha.mediu.edu.my:8181/xmlui/handle/1721
dc.description We consider the survivable network design problem - the problem of designing, at minimum cost, a network with edge-connectivity requirements. As special cases, this problem encompasses the Steiner tree problem, the traveling salesman problem and the k-connected network design problem. We establish a property, referred to as the parsimonious property, of the linear programming (LP) relaxation of a classical formulation for the problem. The parsimonious property has numerous consequences. For example, we derive various structural properties of these LP relaxations, we present some algorithmic improvements and we perform tight worstcase analyses of two heuristics for the survivable network design problem.
dc.format 1615087 bytes
dc.format application/pdf
dc.language en_US
dc.publisher Massachusetts Institute of Technology, Operations Research Center
dc.relation Operations Research Center Working Paper;OR 225-90
dc.subject Keywords: network design, LP relaxations, worst-case analysis, heuristics.
dc.title Survivable Networks, Linear Programming Relaxations and the Parsimonious Property
dc.type Working Paper


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