On Connections between RLT and Lift-and-Project Relaxations for Ranks 2 and more

Michel Minoux 1 Hacène Ouzia 1
1 DECISION
LIP6 - Laboratoire d'Informatique de Paris 6
Abstract : We show that known simple links between rank-1 Sherali-Adams (RLT) relaxation and rank-1 Lift-and-Project closure do not readily extend to rank 2 or more.To investigate this issue, we introduce a new hierarchy of relaxations, intermediate in strength between the RLT hierarchy and the L&P hierarchy. This new hierarchy is shown to coincide with RLT for MIPs arising from pseudoboolean function minimization. Some preliminary computational results are also reported.
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Conference papers
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  • HAL Id : hal-01304881, version 1

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Michel Minoux, Hacène Ouzia. On Connections between RLT and Lift-and-Project Relaxations for Ranks 2 and more. INFORMS annual meeting, Oct 2008, Washington, United States. INFORMS annual meeting. 〈hal-01304881〉

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