Inequalities from Two Rows of a Simplex Tableau
IPCO '07 Proceedings of the 12th international conference on Integer Programming and Combinatorial Optimization
Facets of Two-Dimensional Infinite Group Problems
Mathematics of Operations Research
On the facets of mixed integer programs with two integer variables and two constraints
Mathematical Programming: Series A and B
On Mixing Inequalities: Rank, Closure, and Cutting-Plane Proofs
SIAM Journal on Optimization
On the extreme inequalities of infinite group problems
Mathematical Programming: Series A and B
Lifting integer variables in minimal inequalities corresponding to lattice-free triangles
IPCO'08 Proceedings of the 13th international conference on Integer programming and combinatorial optimization
Two row mixed-integer cuts via lifting
Mathematical Programming: Series A and B - Series B - Special Issue: Combinatorial Optimization and Integer Programming
Minimal Inequalities for an Infinite Relaxation of Integer Programs
SIAM Journal on Discrete Mathematics
A Geometric Perspective on Lifting
Operations Research
A note on the split rank of intersection cuts
Mathematical Programming: Series A and B
On lifting integer variables in minimal inequalities
IPCO'10 Proceedings of the 14th international conference on Integer Programming and Combinatorial Optimization
On degenerate multi-row Gomory cuts
Operations Research Letters
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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 integer infinite group relaxation are presented. Finally, this composite lifting approach is used to generate a strengthened version of the two-row mixing inequality that provides a new class of extreme inequalities for the two-row mixed integer infinite group relaxation.