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SM ISO690:2012 EMELICHEV, Vladimir, NIKULIN, Yury. Aspects of stability for multicriteria quadratic problems of Boolean programming. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2018, nr. 2(87), pp. 30-40. ISSN 1024-7696. |
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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica | ||||||
Numărul 2(87) / 2018 / ISSN 1024-7696 /ISSNe 2587-4322 | ||||||
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CZU: 519.854+519.855+519.7 | ||||||
MSC 2010: 90C09, 90C29, 90C31. | ||||||
Pag. 30-40 | ||||||
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We consider a multicriteria Boolean programming problem of finding the Pareto set. Partial criteria are given as quadratic functions, and they are exposed to independent perturbations. We study quantitative characteristic of stability (stability radius) of the problem. The lower and upper bounds for the stability radius are obtained in the situation where solution space and problem parameter space are endowed with various H¨older’s norms... |
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Cuvinte-cheie Boolean programming, quadratic problem, multicriteria optimization, Pareto set, stability radius, H¨older’s norms. |
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