Oktay Günlük, Lászlo Ladányi, et al.
Management Science
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).
Oktay Günlük, Lászlo Ladányi, et al.
Management Science
Sanjeeb Dash, Oktay Günlük, et al.
SIOPT
Dennis Wei, Sanjeeb Dash, et al.
ICML 2019
Sanjeeb Dash, Joao Goncalves, et al.
AISTATS 2025