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IPCO
1996
102views Optimization» more  IPCO 1996»
13 years 10 months ago
A Supermodular Relaxation for Scheduling with Release Dates
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 ...
Michel X. Goemans
IPCO
1990
76views Optimization» more  IPCO 1990»
13 years 9 months ago
Probabilistic Analysis of the Generalised Assignment Problem
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...
Martin E. Dyer, Alan M. Frieze
IPCO
1992
115views Optimization» more  IPCO 1992»
13 years 9 months ago
When is the Assignment Bound Tight for the Asymmetric Traveling Salesman Problem?
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 ...
Alan M. Frieze, Richard M. Karp, Bruce A. Reed
IPCO
2007
87views Optimization» more  IPCO 2007»
13 years 10 months ago
On Integer Programming and the Branch-Width of the Constraint Matrix
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...
William H. Cunningham, Jim Geelen
IPCO
2007
109views Optimization» more  IPCO 2007»
13 years 10 months ago
Inequalities from Two Rows of a Simplex Tableau
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...