Aspects of stability for multicriteria quadratic problems of Boolean programming
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Cercetări operaționale (OR) teorii şi metode matematice (168)
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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

Aspects of stability for multicriteria quadratic problems of Boolean programming

CZU: 519.854+519.855+519.7
MSC 2010: 90C09, 90C29, 90C31.

Pag. 30-40

Emelichev Vladimir1, Nikulin Yury2
 
1 Belarusian State University,
2 University of Turku
 
 
Disponibil în IBN: 2 decembrie 2018


Rezumat

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...   

Cuvinte-cheie
Boolean programming, quadratic problem, multicriteria optimization, Pareto set, stability radius, H¨older’s norms.