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CORR
2010
Springer
85views Education» more  CORR 2010»
14 years 10 months ago
Generic design of Chinese remaindering schemes
We propose a generic design for Chinese remainder algorithms. A Chinese remainder computation consists in reconstructing an integer value from its residues modulo non coprime inte...
Jean-Guillaume Dumas, Thierry Gautier, Jean-Louis ...
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CORR
2007
Springer
68views Education» more  CORR 2007»
14 years 9 months ago
An Improved Tight Closure Algorithm for Integer Octagonal Constraints
Integer octagonal constraints (a.k.a. Unit Two Variables Per Inequality or UTVPI integer constraints) constitute an interesting class of constraints for the representation and solu...
Roberto Bagnara, Patricia M. Hill, Enea Zaffanella
IPCO
2010
174views Optimization» more  IPCO 2010»
14 years 11 months ago
On Lifting Integer Variables in Minimal Inequalities
This paper contributes to the theory of cutting planes for mixed integer linear programs (MILPs). Minimal valid inequalities are well understood for a relaxation of an MILP in tab...
Amitabh Basu, Manoel B. Campêlo, Michele Con...
IPCO
2008
188views Optimization» more  IPCO 2008»
14 years 11 months ago
Binary Positive Semidefinite Matrices and Associated Integer Polytopes
We consider the positive semidefinite (psd) matrices with binary entries. We give a characterisation of such matrices, along with a graphical representation. We then move on to co...
Adam N. Letchford, Michael M. Sørensen
ORL
2008
111views more  ORL 2008»
14 years 9 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