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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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<meta name="citation_title" content="On stability and quasi-stability radii for a vector combinatorial problem with a parametric optimality principle"> <meta name="citation_author" content="Emelichev Vladimir"> <meta name="citation_author" content="Gurevsky Evgeny"> <meta name="citation_author" content="Platonov Andrey"> <meta name="citation_publication_date" content="2009/08/03"> <meta name="citation_journal_title" content="Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica"> <meta name="citation_volume" content="60"> <meta name="citation_issue" content="2"> <meta name="citation_firstpage" content="55"> <meta name="citation_lastpage" content="61"> <meta name="citation_pdf_url" content="https://ibn.idsi.md/sites/default/files/imag_file/On%20stability%20and%20quasi_stability%20radii%20for%20a%20vector%20combinatorial%20problem%20with%20a%20parametric%20optimality%20principle%2055_61.pdf">
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