Lifting 기법을 이용한 Generalized Bilinear Cover Inequality

초록

In this paper, we generalize lifted inequalities to a 0-1 mixed-integer bilinear covering set with linear terms. This work is motivated by the observation that Generalized Bilinear Inequality (GBI) occurs in the Branch and Bound process. We find some conditions and prove the subadditivity of lifting functions for lifting to be sequence- independent. Using the theoretical results, we develop facet-defining inequalities for a GBI-defined set through three steps of lifting.

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