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» Cutting planes in integer and mixed integer programming
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ANOR
2005
94views more  ANOR 2005»
13 years 10 months ago
Cover and Pack Inequalities for (Mixed) Integer Programming
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 ...
Alper Atamtürk
IPCO
2007
109views Optimization» more  IPCO 2007»
14 years 9 days 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...
MP
2006
110views more  MP 2006»
13 years 10 months ago
Decomposition and Dynamic Cut Generation in Integer Linear Programming
Decomposition algorithms such as Lagrangian relaxation and Dantzig-Wolfe decomposition are well-known methods that can be used to generate bounds for mixed-integer linear programmi...
Ted K. Ralphs, Matthew V. Galati
SDM
2008
SIAM
161views Data Mining» more  SDM 2008»
14 years 9 days ago
Efficient Maximum Margin Clustering via Cutting Plane Algorithm
Maximum margin clustering (MMC) is a recently proposed clustering method, which extends the theory of support vector machine to the unsupervised scenario and aims at finding the m...
Bin Zhao, Fei Wang, Changshui Zhang
MP
2002
95views more  MP 2002»
13 years 10 months ago
The mathematics of playing golf, or: a new class of difficult non-linear mixed integer programs
We consider a class of non-linear mixed integer programs with n integer variables and k continuous variables. Solving instances from this class to optimality is an NP-hard problem....
Giovanni Rinaldi, Ulrich Voigt, Gerhard J. Woeging...