Pierre Bonami, Oktay Günlük, et al.
Mathematical Programming Computation
In this paper we use facets of simple mixed-integer sets with three variables to derive a parametric family of valid inequalities for general mixed-integer sets. We call these inequalities two-step MIR inequalities as they can be derived by applying the simple mixed-integer rounding (MIR) principle of Wolsey (1998) twice. The two-step MIR inequalities define facets of the master cyclic group polyhedron of Gomory (1969). In addition, they dominate the strong fractional cuts of Letchford and Lodi (2002).
Pierre Bonami, Oktay Günlük, et al.
Mathematical Programming Computation
Sanjeeb Dash, Jayant Kalagnanam, et al.
IBM J. Res. Dev
Uday Bondhugula, Oktay Gunluk, et al.
PACT 2010
Sanjeeb Dash
Operations Research Letters