On quasistability radius of a vector trajectorial problem with a principle of optimality generalizing Pareto and lexicographic principles
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Matematică computațională. Analiză numerică. Programarea calculatoarelor (123)
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Ecuații diferențiale. Ecuații integrale. Alte ecuații funcționale. Diferențe finite. Calculul variațional. Analiză funcțională (243)
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BUKHTOYAROV, Sergei, EMELICHEV, Vladimir. On quasistability radius of a vector trajectorial problem with a principle of optimality generalizing Pareto and lexicographic principles. In: Computer Science Journal of Moldova, 2005, nr. 1(37), pp. 47-58. ISSN 1561-4042.
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Computer Science Journal of Moldova
Numărul 1(37) / 2005 / ISSN 1561-4042 /ISSNe 2587-4330

On quasistability radius of a vector trajectorial problem with a principle of optimality generalizing Pareto and lexicographic principles
CZU: 519.6+519.71+517.97

Pag. 47-58

Bukhtoyarov Sergei, Emelichev Vladimir
 
Belarusian State University
 
 
Disponibil în IBN: 3 decembrie 2013


Rezumat

A multicriterion linear combinatorial problem with a parametric principle of optimality is considered. This principle is defined by a partitioning of partial criteria onto Pareto preference relation groups within each group and the lexicographic preference relation between them. Quasistability of the problem is investigated. This type of stability is a discrete analog of Hausdorff lower semi-continuity of the multiple-valued mapping that defines the choice function. A formula of quasistability radius is derived for the case of the metric l1: Some known results are stated as corollaries. Mathematics Subject Classification 2000: 90C05, 90C10, 90C29, 90C31.

Cuvinte-cheie
vector trajectorial problem, set of lexicographically optimal trajectories, quasista- bility, quasistability radius.,

Pareto set

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<dc:creator>Bukhtoyarov, S.E.</dc:creator>
<dc:creator>Emelichev, V.A.</dc:creator>
<dc:date>2005-06-03</dc:date>
<dc:description xml:lang='en'>A multicriterion linear combinatorial problem with a parametric principle of optimality is considered. This principle is defined by a partitioning of partial criteria onto Pareto preference
relation groups within each group and the lexicographic preference relation between them. Quasistability of the problem is
 investigated. This type of stability is a discrete analog of Hausdorff lower semi-continuity of the multiple-valued mapping that

defines the choice function. A formula of quasistability radius is
 derived for the case of the metric l1: Some known results are
 stated as corollaries.

Mathematics Subject Classification 2000: 90C05, 90C10,

90C29, 90C31.</dc:description>
<dc:source>Computer Science Journal of Moldova 37 (1) 47-58</dc:source>
<dc:subject>vector trajectorial problem</dc:subject>
<dc:subject>Pareto set</dc:subject>
<dc:subject>set of lexicographically optimal trajectories</dc:subject>
<dc:subject>quasista-

bility</dc:subject>
<dc:subject>quasistability radius.</dc:subject>
<dc:title>On quasistability radius of a vector trajectorial problem with a principle of optimality generalizing Pareto and lexicographic principles</dc:title>
<dc:type>info:eu-repo/semantics/article</dc:type>
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