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Aspects of stability for multicriteria quadratic problems of Boolean programming
Authors: Vladimir A. Emelichev, Yury V. Nikulin
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Abstract
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{\"o}lder's norms.Vladimir Emelichev
Belarusian State University, Nezavisimosti 4,
220030 Minsk, Belarus
E-mail:
Yury Nikulin
University of Turku, Vesilinnantie 5,
20014 Turku, Finland
E-mail:
Belarusian State University, Nezavisimosti 4,
220030 Minsk, Belarus
E-mail:
Yury Nikulin
University of Turku, Vesilinnantie 5,
20014 Turku, Finland
E-mail:
Fulltext
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Contents
- Quotient Structure and Chain Conditions on Quasi Modules
- On statistical convergence in generalized Lacunary sequence spaces
- Aspects of stability for multicriteria quadratic problems of Boolean programming
- Solution and full classification of generalized binary functional equations of the type (3;3;0)
- On the solvability of a class of boundary value problems for systems of the integral equations with power nonlinearity on the whole axis
- Isohedral tilings by 8-, 10- and 12-gons for hyperbolic translation group of genus two
- Some properties of left-transitive quasigroups
- General Method for Defining Finite Non-commutative Associative Algebras of Dimension m>1
- Closure operators in modules and adjoint functors, II
- Later developments based on some ideas of Andrunachievici: Special radicals and The Lemma
- Corrigendum to "The multiplicative Zagreb co-indices on two graph operators" Bul. Acad. Științe Repub. Mold. Mat., 2016, no. 2(81), 18-26
