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