On quasistability radius of a vector trajectorial problem with a principle of optimality generalizing Pareto and lexicographic principles

Bukhtoyarov Sergei; Emelichev Vladimir

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Matematică computațională. Analiză numerică. Programarea calculatoarelor (123)

Cibernetică matematică (94)

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

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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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