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SIAMJO
2010
47views more  SIAMJO 2010»
13 years 2 months ago
Integer Programming Subject to Monomial Constraints
Abstract. We investigate integer programs containing monomial constraints of the type Q iI xi i = b. Due to the number-theoretic nature of these constraints, standard methods based...
Christoph Buchheim, Dennis Michaels, Robert Weisma...
JSC
2006
147views more  JSC 2006»
13 years 7 months ago
An algorithm to solve integer linear systems exactly using numerical methods
In this paper, we present a new algorithm for the exact solutions of linear systems with integer coefficients using numerical methods. It terminates with the correct answer in wel...
Zhendong Wan
ESA
2006
Springer
131views Algorithms» more  ESA 2006»
13 years 11 months ago
Finding Total Unimodularity in Optimization Problems Solved by Linear Programs
A popular approach in combinatorial optimization is to model problems as integer linear programs. Ideally, the relaxed linear program would have only integer solutions, which happ...
Christoph Dürr, Mathilde Hurand
CADE
2012
Springer
11 years 10 months ago
A Simplex-Based Extension of Fourier-Motzkin for Solving Linear Integer Arithmetic
Abstract. This paper describes a novel decision procedure for quantifierfree linear integer arithmetic. Standard techniques usually relax the initial problem to the rational domai...
François Bobot, Sylvain Conchon, Evelyne Co...