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SM ISO690:2012 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 | ||||||
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CZU: 519.6+519.71+517.97 | ||||||
Pag. 47-58 | ||||||
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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. |
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Cuvinte-cheie vector trajectorial problem, set of lexicographically optimal trajectories, quasista- bility, quasistability radius., Pareto set |
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