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IMI/Publicaţii/CSJM/Ediţii/CSJM v.11, n.2 (32), 2003/

Quasi-stability of a vector trajectorial problem with non-linear partial criteria

Authors: Vladimir A. Emelichev, Kirill E. Kovalenko
Keywords: Vector trajectorial problem, the Pareto set, quasi-stability.

Abstract

Multi-objective (vector) combinatorial problem of finding the Pareto set with four kinds of non-linear partial criteria is considered. Necessary and sufficient conditions of that kind of stability of the problem (quasi-stability) are obtained. The problem is a discrete analogue of the lower semicontinuity by Hausdorff of the optimal mapping. Mathematics Subject Classification 2000: 90C10, 90C05, 90C29, 90C31

V.A. Emelichev, K.E. Kovalenko,
Belarusian State University
ave. Fr. Skorina, 4,
Minsk 220050, Belarus
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