Integer and combinatorial optimization
Integer and combinatorial optimization
A hierarchy of relaxation between the continuous and convex hull representations
SIAM Journal on Discrete Mathematics
A lift-and-project cutting plane algorithm for mixed 0-1 programs
Mathematical Programming: Series A and B
Discrete Applied Mathematics
Disjunctive programming: properties of the convex hull of feasible points
Discrete Applied Mathematics
A Computational Study of Search Strategies for Mixed Integer Programming
INFORMS Journal on Computing
Aggregation and Mixed Integer Rounding to Solve MIPs
Operations Research
Foundation-penalty cuts for mixed-integer programs
Operations Research Letters
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Glover and Sherali (2003) introduced a wide class of Foundation-Penalty (FP) cuts for GUB and ordinary mixed-integer programs. The FP cuts are easy to generate by exploiting routine branch-and-bound penalty calculations, and encompass other classical cuts such as disjunctive cuts, lift-and-project cuts, convexity cuts, Gomory cuts, and mixed-integer rounding cuts. Here we focus on two special classes of FP cuts, called balanced FP cuts and multi-level balanced FP cuts, and exhibit their relationship to special forms of disjunctive cuts. A numerical example illustrates the rich variety of cuts that can be generated.