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 SM ISO690:2012EMELICHEV, Vladimir, GUREVSKY, Evgeny, PLATONOV, Andrey. On stability and quasi-stability radii for a vector combinatorial problem with a parametric optimality principle. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2009, nr. 2(60), pp. 55-61. ISSN 1024-7696. |
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| Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica | ||||||
| Numărul 2(60) / 2009 / ISSN 1024-7696 /ISSNe 2587-4322 | ||||||
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| Pag. 55-61 | ||||||
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A vector combinatorial linear problem with a parametric optimality principle that allows us to relate the well-known choice functions of jointly-extremal and Pareto solution is considered. A quantitative analysis of stability for the set of generalized efficient trajectories under the independent perturbations of coefficients of linear functions is performed. Formulas of stability and quasi-stability radii are obtained in the l∞-metric. Some results published earlier are derived as corollaries. |
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| Cuvinte-cheie multiobjectivity, Pareto optimality, jointly-extremal optimality, combinatorial optimization, stability radius |
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Dublin Core Export
<?xml version='1.0' encoding='utf-8'?> <oai_dc:dc xmlns:dc='http://purl.org/dc/elements/1.1/' xmlns:oai_dc='http://www.openarchives.org/OAI/2.0/oai_dc/' xmlns:xsi='http://www.w3.org/2001/XMLSchema-instance' xsi:schemaLocation='http://www.openarchives.org/OAI/2.0/oai_dc/ http://www.openarchives.org/OAI/2.0/oai_dc.xsd'> <dc:creator>Emelichev, V.A.</dc:creator> <dc:creator>Gurevsky, E.E.</dc:creator> <dc:creator>Platonov, A.</dc:creator> <dc:date>2009-08-03</dc:date> <dc:description xml:lang='en'>A vector combinatorial linear problem with a parametric optimality principle that allows us to relate the well-known choice functions of jointly-extremal and Pareto solution is considered. A quantitative analysis of stability for the set of generalized efficient trajectories under the independent perturbations of coefficients of linear functions is performed. Formulas of stability and quasi-stability radii are obtained in the l∞-metric. Some results published earlier are derived as corollaries.</dc:description> <dc:source>Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica 60 (2) 55-61</dc:source> <dc:subject>multiobjectivity</dc:subject> <dc:subject>combinatorial optimization</dc:subject> <dc:subject>Pareto optimality</dc:subject> <dc:subject>jointly-extremal optimality</dc:subject> <dc:subject>stability radius</dc:subject> <dc:title>On stability and quasi-stability radii for a vector combinatorial problem with a parametric optimality principle</dc:title> <dc:type>info:eu-repo/semantics/article</dc:type> </oai_dc:dc>
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