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arXiv · 1811.10010

On the complexity of sequentially lifting cover inequalities for the knapsack polytope

Wei-Kun Chen·Yu-Hong Dai
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Abstract

The well-known sequentially lifted cover inequality is widely employed in solving mixed integer programs. However, it is still an open question whether a sequentially lifted cover inequality can be computed in polynomial time for a given minimal cover (Gu, Nemhauser, and Savelsbergh, INFORMS J. Comput., 26: 117--123, 1999). We show that this problem is NP-hard, thus giving a negative answer to the question.

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Wei-Kun Chen, Yu-Hong Dai. 2019-03-09. On the complexity of sequentially lifting cover inequalities for the knapsack polytope. https://arxiv.org/abs/1811.10010

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