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Diskretnaya Matematika, 1998, Volume 10, Issue 1, Pages 20–27
DOI: https://doi.org/10.4213/dm409
(Mi dm409)
 

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
Bibliographic databases:
UDC: 519.10
Language: Russian
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
Citation in format AMSBIB
\Bibitem{EmeBer98}
\by V.~A.~Emelichev, R.~A.~Berdysheva
\paper On the radii of stability, quasistability and steadiness of a vector trajectory problem of lexicographic optimization
\jour Diskr. Mat.
\yr 1998
\vol 10
\issue 1
\pages 20--27
\mathnet{http://mi.mathnet.ru/dm409}
\crossref{https://doi.org/10.4213/dm409}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1669004}
\zmath{https://zbmath.org/?q=an:0997.90070}
\transl
\jour Discrete Math. Appl.
\yr 1998
\vol 8
\issue 2
\pages 135--142
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  • https://www.mathnet.ru/eng/dm/v10/i1/p20
  • This publication is cited in the following 16 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Дискретная математика
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