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...
Abstract We show that if one can find the optimal value of an integer programming problem min{cx : Ax ≥ b, x ∈ Zn +} in polynomial time, then one can find an optimal solution...
James B. Orlin, Abraham P. Punnen, Andreas S. Schu...
A finite test set for an integer optimization problem enables us to verify whether a feasible point attains the global optimum. We establish in this paper several general results ...
Integer Linear Programming has recently been used for decoding in a number of probabilistic models in order to enforce global constraints. However, in certain applications, such a...
We review strong inequalities for fundamental knapsack relaxations of (mixed) integer programs. These relaxations are the 0-1 knapsack set, the mixed 0-1 knapsack set, the integer ...