Finding Multiple Solutions in Nonlinear Integer Programming with Algebraic Test-Sets

Hartillo Hermoso, Isabel
Jiménez Cobano, J.M.
Ucha Enríquez, José María

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Publication date

January 2018

DOI

10.1007/978-3-319-99639-4_16

Publisher

Springer Science and Business Media LLC

Language

English

Abstract

We explain how to compute all the solutions of a nonlinear integer problem using the algebraic test-sets associated to a suitable linear subproblem. These test-sets are obtained using Gröbner bases. The main advantage of this method, compared to other available alternatives, is its exactness within a quite good efficiency.Ministerio de Economía y Competitividad MTM2016-75024-PMinisterio de Economía y Competitividad MTM2016-74983-C2- 1-RJunta de Andalucía P12-FQM-269

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Finding Multiple Solutions in Nonlinear Integer Programming with Algebraic Test-Sets

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Finding Multiple Solutions in Nonlinear Integer Programming with Algebraic Test-Sets

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