On quasistability of the lexicographic minimax combinatorial problem with decomposing variables
Diskretnyj analiz i issledovanie operacij, Tome 17 (2010) no. 3, pp. 32-45

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A multicriteria combinatorial sequential optimization problem with minimax criteria is considered. We obtained the formula for the limit level of the vector criteria parameters perturbations, for which all lexicographic optima of the initial problem are preserved. Bibl. 21.
Keywords: minimax problem, bottleneck problem, multi-objectiveness, sequential optimization, lexicographic set, lexicographic optimum, quasistability, quasistability radius.
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V. A. Emelichev; A. V. Karpuk; K. G. Kuzmin. On quasistability of the lexicographic minimax combinatorial problem with decomposing variables. Diskretnyj analiz i issledovanie operacij, Tome 17 (2010) no. 3, pp. 32-45. http://geodesic.mathdoc.fr/item/DA_2010_17_3_a2/