A Framework to Derive Multidimensional Superadditive Lifting Functions and Its Applications

Authors:
Bo Zeng;Jean-Philippe P. Richard
Affiliations:
School of Industrial Engineering, Purdue University, 315 N. Grant Street, West Lafayette, IN 47907-2023,;School of Industrial Engineering, Purdue University, 315 N. Grant Street, West Lafayette, IN 47907-2023,
Venue:
IPCO '07 Proceedings of the 12th international conference on Integer Programming and Combinatorial Optimization
Year:
2007

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Abstract

In this paper, we present a systematic method to derive strong superadditive approximations of multidimensional lifting functions using single-dimensional superadditive functions. This constructive approach is based on the observation that, in many cases, the lifting function of a multidimensional problem can be expressed or approximated through the single-dimensional lifting function of some of its components. We then apply our approach to two variants of classical models and show that it yields an efficient procedure to derive strong valid inequalities.