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ORL
2008
111views more  ORL 2008»
13 years 4 months ago
Certificates of linear mixed integer infeasibility
A central result in the theory of integer optimization states that a system of linear diophantine equations Ax = b has no integral solution if and only if there exists a vector in...
Kent Andersen, Quentin Louveaux, Robert Weismantel
ORL
2008
73views more  ORL 2008»
13 years 4 months ago
Polytopes and arrangements: Diameter and curvature
By analogy with the conjecture of Hirsch, we conjecture that the order of the largest total curvature of the central path associated to a polytope is the number of inequalities de...
Antoine Deza, Tamás Terlaky, Yuriy Zinchenk...
ORL
2008
77views more  ORL 2008»
13 years 4 months ago
A short proof of the VPN Tree Routing Conjecture on ring networks
The VPN Tree Routing Conjecture states that there always exists an optimal solution to the symmetric Virtual Private Network Design (sVPND) problem where the paths between all ter...
Fabrizio Grandoni, Volker Kaibel, Gianpaolo Oriolo...
ORL
2008
54views more  ORL 2008»
13 years 4 months ago
A note on the MIR closure
Pierre Bonami, Gérard Cornuéjols
ORL
2008
50views more  ORL 2008»
13 years 4 months ago
Exploiting equalities in polynomial programming
We propose a novel solution approach for polynomial programming problems with equality constraints. By means of a generic transformation, we show that solution schemes for the (ty...
Javier Peña, Juan Carlos Vera, Luis F. Zulu...
ORL
2008
60views more  ORL 2008»
13 years 4 months ago
Lot-sizing on a tree
For the problem of lot-sizing on a tree with constant capacities, or stochastic lot-sizing with a scenario tree, we present various reformulations based on mixing sets. We also sh...
Marco Di Summa, Laurence A. Wolsey
ORL
2008
96views more  ORL 2008»
13 years 4 months ago
A power penalty method for linear complementarity problems
In this paper we propose a power penalty approach to linear complementarity problems (LCP) in a finite dimensional space. This approach is based on approximating the LCP by a nonl...
Song Wang, Xiaoqi Yang