ABS methods, developed since 1981 in over 400 papers, have been recently applied to solve linear Diophantine equations, providing the most general solution for Hilbert 10-th problem in the linear case. In the paper it is shown that the integer ABS method can also be applied to linear integer programming and linear integer inequalities, providing in important cases an explicit solution.
(2005). Explicit ABS solution of a class of linear inequality systems and LP problems [journal article - articolo]. In BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY. Retrieved from http://hdl.handle.net/10446/19627
Explicit ABS solution of a class of linear inequality systems and LP problems
SPEDICATO, Emilio Giuseppe
2005-01-01
Abstract
ABS methods, developed since 1981 in over 400 papers, have been recently applied to solve linear Diophantine equations, providing the most general solution for Hilbert 10-th problem in the linear case. In the paper it is shown that the integer ABS method can also be applied to linear integer programming and linear integer inequalities, providing in important cases an explicit solution.File allegato/i alla scheda:
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