V. A. Emelichev, A. V. Karpuk, K. G. Kuzmin, “On quasistability of the lexicographic minimax combinatorial problem with decomposing variables”, Diskretn. Anal. Issled. Oper., 2010, Volume 17, Issue 3,Pages <nobr>32

This article is cited in 5 papers

On quasistability of the lexicographic minimax combinatorial problem with decomposing variables

V. A. Emelichev^a, A. V. Karpuk^b, K. G. Kuzmin^a

^a Belarusian State University, Minsk, Belarus
^b BPS-Bank, Minsk, Belarus

Abstract: 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.

UDC: 519.8

Received: 23.10.2009