Uniform saturation in linear inequality systems
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Título: | Uniform saturation in linear inequality systems |
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Autor/es: | Goberna, Miguel A. | Jornet Pla, Valentín | Molina Vila, Mariola D. |
Grupo/s de investigación o GITE: | Programación Semi-infinita |
Centro, Departamento o Servicio: | Universidad de Alicante. Departamento de Estadística e Investigación Operativa |
Palabras clave: | Linear systems | Saturation | Redundancy | Linear optimization |
Área/s de conocimiento: | Matemáticas |
Fecha de creación: | 2003 |
Fecha de publicación: | jun-2005 |
Editor: | Springer Berlin / Heidelberg |
Cita bibliográfica: | GOBERNA TORRENT, Miguel Ángel; JORNET PLA, Valentín; MOLINA VILA, María Dolores. “Uniform saturation in linear inequality systems”. TOP. Vol. 13, No. 1 (June 2005). ISSN 1134-5764, pp. 167-184 |
Resumen: | Redundant constraints in linear inequality systems can be characterized as those inequalities that can be removed from an arbitrary linear optimization problem posed on its solution set without modifying its value and its optimal set. A constraint is saturated in a given linear optimization problem when it is binding at the optimal set. Saturation is a property related with the preservation of the value and the optimal set under the elimination of the given constraint, phenomena which can be seen as weaker forms of excess information in linear optimization problems. We say that an inequality of a given linear inequality system is uniformly saturated when it is saturated for any solvable linear optimization problem posed on its solution set. This paper characterizes the uniform saturated inequalities and other related classes of inequalities. |
Patrocinador/es: | This work was supported by the MCYT of Spain and FEDER of UE, Grant BFM2002-04114-C02-01. |
URI: | http://hdl.handle.net/10045/8515 |
ISSN: | 1134-5764 (Print) | 1863-8279 (Online) |
DOI: | 10.1007/BF02578993 |
Idioma: | eng |
Tipo: | info:eu-repo/semantics/article |
Derechos: | The original publication is available at www.springerlink.com |
Revisión científica: | si |
Versión del editor: | http://dx.doi.org/10.1007/BF02578993 |
Aparece en las colecciones: | INV - LOPT - Artículos de Revistas INV - AppBiochem - Artículos de Revistas INV - AppBiochem - Artículos de Revistas INV - GESTA - Artículos de Revistas |
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