TIT
2002
13 years 4 months ago
2002
Abstract--In this paper, we establish a one-to-one correspondence between information inequalities and group inequalities. The major implication of our result is that we can prove ...
MP
1998
13 years 4 months ago
1998
We consider the polyhedral approach to solving the capacitated facility location problem. The valid inequalities considered are the knapsack, ow cover, e ective capacity, single d...
MP
2002
13 years 4 months ago
2002
We study the polyhedra of splittable and unsplittable single arc
MP
2002
13 years 4 months ago
2002
In an unpublished paper, Araque, Hall and Magnanti considered polyhedra associated with the Capacitated Vehicle Routing Problem (CVRP) in the special case of unit demands. Among th...
MOR
2002
13 years 4 months ago
2002
We present a polyhedral study of the complementarity knapsack problem. Traditionally, complementarity constraints are modeled by introducing auxiliary binary variables and additio...
DAM
2000
13 years 4 months ago
2000
Feedback problems consist of removing a minimal number of vertices of a directed or undirected graph in order to make it acyclic. The problem is known to be NPcomplete. In this pa...
MP
2006
13 years 5 months ago
2006
A variety of integer programming formulations have been proposed for Vehicle Routing Problems (VRPs), including the so-called two- and three-index formulations, the set partitioni...
MP
2006
13 years 5 months ago
2006
This paper addresses a multi-stage stochastic integer programming formulation of the uncapacitated lot-sizing problem under uncertainty. We show that the classical ( , S) inequalit...
MP
2006
13 years 5 months ago
2006
Abstract. We consider the network design problem which consists in determining at minimum cost a 2-edge connected network such that the shortest cycle (a "ring") to which...
MP
2006
13 years 5 months ago
2006
In this paper we introduce a new class of facet-inducing inequalities for the Windy Rural Postman Problem and the Windy General Routing Problem. These inequalities are called Zigz...