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This article is cited in 16 scientific papers (total in 16 papers)
On the radii of stability, quasistability and steadiness of a vector trajectory problem of lexicographic optimization
V. A. Emelichev, R. A. Berdysheva
Abstract:
We consider a multicriteria problem on lexicographic optimization
on a system of subsets of a finite set (a trajectory problem) with a vector
criterion function consisting of linear criteria. We investigate different
types of steadiness of the lexicographic set under small variations of
parameters of the criterion functions. We give formulae for computing
the radii of steadiness, quasi-steadiness, and stability in the case of
Chebyshev norm in the space of perturbed parameters. The research was supported by the Foundation for Basic Research of the
Byelarussian Republic, grants F 23–70 and F 95–70, the
International Soros Education Program in Exact Sciences and Foundation
DAAD (for the first author).
Received: 23.09.1996
Citation:
V. A. Emelichev, R. A. Berdysheva, “On the radii of stability, quasistability and steadiness of a vector trajectory problem of lexicographic optimization”, Diskr. Mat., 10:1 (1998), 20–27; Discrete Math. Appl., 8:2 (1998), 135–142
Linking options:
https://www.mathnet.ru/eng/dm409https://doi.org/10.4213/dm409 https://www.mathnet.ru/eng/dm/v10/i1/p20
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