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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2009, Number 2, Pages 55–61
(Mi basm226)
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This article is cited in 2 scientific papers (total in 2 papers)
Research articles
On stability and quasi-stability radii for a vector combinatorial problem with a parametric optimality principle
Vladimir A. Emelichev, Evgeny E. Gurevsky, Andrey A. Platonov Belarusian State University, Minsk, Belarus
Abstract:
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 $l_\infty$-metric. Some results published earlier are derived as corollaries.
Keywords and phrases:
multiobjectivity, combinatorial optimization, Pareto optimality, jointly-extremal optimality, stability radius, quasi-stability radius.
Received: 03.04.2009
Citation:
Vladimir A. Emelichev, Evgeny E. Gurevsky, Andrey A. Platonov, “On stability and quasi-stability radii for a vector combinatorial problem with a parametric optimality principle”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2009, no. 2, 55–61
Linking options:
https://www.mathnet.ru/eng/basm226 https://www.mathnet.ru/eng/basm/y2009/i2/p55
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Abstract page: | 341 | Full-text PDF : | 64 | References: | 50 | First page: | 2 |
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