Analyzing linear systems containing strict inequalities via evenly convex hulls
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Título: | Analyzing linear systems containing strict inequalities via evenly convex hulls |
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Autor/es: | Goberna, Miguel A. | Rodríguez Álvarez, Margarita |
Grupo/s de investigación o GITE: | Programación Semi-infinita |
Centro, Departamento o Servicio: | Universidad de Alicante. Departamento de Estadística e Investigación Operativa |
Palabras clave: | Convex programming | Linear programming | Evenly convex hull | Existence theorems | Consequence relations |
Área/s de conocimiento: | Matemáticas |
Fecha de publicación: | mar-2006 |
Editor: | Elsevier |
Cita bibliográfica: | GOBERNA TORRENT, Miguel Ángel; RODRÍGUEZ ÁLVAREZ, Margarita. “Analyzing linear systems containing strict inequalities via evenly convex hulls”. European Journal of Operational Research. Vol. 169, Issue 3 (16 March 2006). ISSN 0377-2217, pp. 1079-1095 |
Resumen: | The evenly convex hull of a given set is the intersection of all the open halfspaces which contain such set (hence the convex hull is contained in the evenly convex hull). This paper deals with finite dimensional linear systems containing strict inequalities and (possibly) weak inequalities as well as equalities. The number of inequalities and equalities in these systems is arbitrary (possibly infinite). For such kind of systems a consistency theorem is provided and those strict inequalities (weak inequalities, equalities) which are satisfied for every solution of a given system are characterized. Such results are formulated in terms of the evenly convex hull of certain sets which depend on the coefficients of the system. |
Patrocinador/es: | This work was supported by the MCYT of Spain and FEDER of UE, Grant BFM2002-04114-C0201. |
URI: | http://hdl.handle.net/10045/8136 |
ISSN: | 0377-2217 |
DOI: | 10.1016/j.ejor.2003.12.028 |
Idioma: | eng |
Tipo: | info:eu-repo/semantics/article |
Revisión científica: | si |
Versión del editor: | http://dx.doi.org/10.1016/j.ejor.2003.12.028 |
Aparece en las colecciones: | INV - LOPT - Artículos de Revistas |
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