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In this paper, we study cut generating functions for conic sets. Our first main result shows that if the conic set is bounded, then cut generating functions for integer linear programs can easily be adapted to give the integer hull of the conic integer program. Then we introduce a new class of cut generating functions which are non-decreasing with respect to second-order cone. We show that, under...
Given a valid inequality for the mixed integer infinite group relaxation, a composite lifting approach that combines sequential lifting and the use of a fill-in function is proposed that can be used to strengthen this inequality. Properties of this composite lifting such as bounds on the solution of the lifting problem and some necessary conditions for the lifted inequality to be minimal for the mixed...
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