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DISOPT
2007
96views more  DISOPT 2007»
13 years 7 months ago
Symmetric ILP: Coloring and small integers
This paper presents techniques for handling symmetries in integer linear programs where variables can take integer values, extending previous work dealing exclusively with binary v...
François Margot
ISAAC
2009
Springer
121views Algorithms» more  ISAAC 2009»
14 years 2 months ago
Generalized Reduction to Compute Toric Ideals
Toric ideals have many applications including solving integer programs. Several algorithms for computing the toric ideal of an integer matrix are available in the literature. Since...
Deepanjan Kesh, Shashank K. Mehta
TR
2008
117views more  TR 2008»
13 years 7 months ago
Redundancy Allocation for Series-Parallel Systems Using Integer Linear Programming
We consider the problem of maximizing the reliability of a series-parallel system given cost and weight constraints on the system. The number of components in each subsystem and th...
Alain Billionnet
MP
2002
95views more  MP 2002»
13 years 7 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...
EOR
2010
140views more  EOR 2010»
13 years 4 months ago
Cutting plane algorithms for 0-1 programming based on cardinality cuts
: We present new valid inequalities for 0-1 programming problems that work in similar ways to well known cover inequalities. Discussion and analysis of these cuts is followed by th...
Osman Oguz