On the relative strength of families of intersection cuts arising from pairs of tableau constraints in mixed integer programs
We compare the relative strength of valid inequalities for the integer hull of the feasible region of mixed integer linear programs with two equality constraints, two unrestricted integer variables and any number of nonnegative continuous variables. In particular, we prove that the closure of Type 2...
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| Veröffentlicht in: | Mathematical programming 2015-05, Vol.150 (2), p.459-489 |
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| creator | Awate, Yogesh Cornuéjols, Gérard Guenin, Bertrand Tunçel, Levent |
| description | We compare the relative strength of valid inequalities for the integer hull of the feasible region of mixed integer linear programs with two equality constraints, two unrestricted integer variables and any number of nonnegative continuous variables. In particular, we prove that the closure of Type 2 triangle (resp. Type 3 triangle; quadrilateral) inequalities, are all within a factor of
1.5
of the integer hull, and provide examples showing that the approximation factor is not less than
1.125
. There is no fixed approximation ratio for split or Type 1 triangle inequalities however. |
| doi_str_mv | 10.1007/s10107-014-0775-z |
| format | Article |
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1.5
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1.125
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1.5
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1.125
. 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1.5
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1.125
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| subjects | Approximation Calculus of Variations and Optimal Control Optimization Combinatorics Full Length Paper Hulls Hulls (structures) Inequalities Inequality Integers Linear programming Mathematical analysis Mathematical and Computational Physics Mathematical Methods in Physics Mathematics Mathematics and Statistics Mathematics of Computing Mixed integer Numerical Analysis Strength Studies Theoretical Triangles |
| title | On the relative strength of families of intersection cuts arising from pairs of tableau constraints in mixed integer programs |
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