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MP
2011
12 years 12 months ago
On the relative strength of split, triangle and quadrilateral cuts
Integer programs defined by two equations with two free integer variables and nonnegative continuous variables have three types of nontrivial facets: split, triangle or quadrilat...
Amitabh Basu, Pierre Bonami, Gérard Cornu&e...
MP
2011
12 years 12 months ago
An FPTAS for minimizing the product of two non-negative linear cost functions
We consider a quadratic programming (QP) problem (Π) of the form min xT Cx subject to Ax ≥ b where C ∈ Rn×n + , rank(C) = 1 and A ∈ Rm×n , b ∈ Rm . We present an FPTAS ...
Vineet Goyal, Latife Genç Kaya, R. Ravi
MP
2011
12 years 12 months ago
Lifting for conic mixed-integer programming
Lifting is a procedure for deriving valid inequalities for mixed-integer sets from valid inequalities for suitable restrictions of those sets. Lifting has been shown to be very e...
Alper Atamtürk, Vishnu Narayanan