|Author||Dash, Sanjeeb ♦ Günlük, Oktay|
|Subject Domain (in DDC)||Computer science, information & general works ♦ Data processing & computer science|
|Subject Keyword||Gomory Mixed-integer Cut ♦ Mixed-integer Program ♦ Optimal Simplex Tableau ♦ Mixed-integer Extension ♦ Group Cut ♦ Gmi Cut ♦ Many Practical Problem Instance ♦ Gomory Master Cyclic Group Polyhedron ♦ Tableau Row ♦ Master Cyclic Group Polyhedron ♦ Different Row ♦ Gomory Mixed-integer|
|Description||Gomory mixed-integer (GMI) cuts generated from optimal simplex tableaus are known to be useful in solving mixed-integer programs. Further, it is well-known that GMI cuts can be derived from facets of Gomory’s master cyclic group polyhedron and its mixed-integer extension studied by Gomory and Johnson. In this paper we examine why cutting planes derived from other facets of master cyclic group polyhedra (group cuts) do not seem to be as useful when used in conjunction with GMI cuts. For many practical problem instances, we numerically show that once GMI cuts from different rows of the optimal simplex tableau are added to the formulation, all other group cuts from the same tableau rows are satisfied.|
|Educational Role||Student ♦ Teacher|
|Age Range||above 22 year|
|Education Level||UG and PG ♦ Career/Technical Study|
|Learning Resource Type||Article|
|Publisher Institution||IBM RESEARCH REPORT RC23967, OPTIMIZATION ONLINE|
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