On Connections between RLT and Lift-and-Project Relaxations for Ranks 2 and more - Archive ouverte HAL Access content directly
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On Connections between RLT and Lift-and-Project Relaxations for Ranks 2 and more

Michel Minoux
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Hacène Ouzia
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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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hal-01304881 , version 1 (20-04-2016)

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  • HAL Id : hal-01304881 , version 1

Cite

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. ⟨hal-01304881⟩
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