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 (110)
Cibernetică matematică (85)
Ecuații diferențiale. Ecuații integrale. Alte ecuații funcționale. Diferențe finite. Calculul variațional. Analiză funcțională (178)
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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

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