We consider the schedulingproblem ofminimizinga weighted sum of completion times under release dates. We present a relaxation which is a supermodular polyhedron. We show that this ...
We analyse the generalised assignment problem under the assumption that all coefficients are drawn uniformly and independently from [0,1]. We show that such problems can be solved...
We consider the probabilistic relationship between the value of a random asymmetric traveling salesman problem ATSP(M) and the value of its assignment relaxation AP(M). We assume ...
Consider an integer program max(ct x : Ax = b, x ≥ 0, x ∈ Zn ) where A ∈ Zm×n , b ∈ Zm , and c ∈ Zn . We show that the integer program can be solved in pseudo-polynomial...
In this paper we explore the geometry of the integer points in a cone rooted at a rational point. This basic geometric object allows us to establish some links between lattice poin...
Kent Andersen, Quentin Louveaux, Robert Weismantel...