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Diskretnyi Analiz i Issledovanie Operatsii, 2015, Volume 22, Issue 3, Pages 18–35
DOI: https://doi.org/10.17377/daio.2015.22.461 (Mi da817) 		 
This article is cited in 9 scientific papers (total in 9 papers)

Comparison of three approaches to studing stability of solutions to discrete optimization and computational geometry problems

E. N. Gordeev

Bauman Moscow State Technical University, 5 2nd Bauman St., 105005 Moscow, Russia
Full-text PDF (310 kB) Citations (9)
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DOI: https://doi.org/10.17377/daio.2015.22.461
Abstract: In the 1970–1980s an approach to the analysis of the stability of solutions was proposed and studied. The approach is universal, but originally was used in discrete optimization problems. Later similar results, albeit in different terms, were published for various classes of problems. We show that both the statements of problems and the interpretation of results are close. Bibliogr. 25.
Keywords: stability of the solution, stability radius, Boolean polynomial, matroid, geometric configuration.
Received: 10.09.2014
Revised: 09.02.2015
English version:
Journal of Applied and Industrial Mathematics, 2015, Volume 9, Issue 3, Pages 358–366
DOI: https://doi.org/10.1134/S1990478915030072
Bibliographic databases:
Document Type: Article
UDC: 519.854
Language: Russian
Citation: E. N. Gordeev, “Comparison of three approaches to studing stability of solutions to discrete optimization and computational geometry problems”, Diskretn. Anal. Issled. Oper., 22:3 (2015), 18–35; J. Appl. Industr. Math., 9:3 (2015), 358–366
Citation in format AMSBIB
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\by E.~N.~Gordeev
\paper Comparison of three approaches to studing stability of solutions to discrete optimization and computational geometry problems
\jour Diskretn. Anal. Issled. Oper.
\yr 2015
\vol 22
\issue 3
\pages 18--35
\mathnet{http://mi.mathnet.ru/da817}
\crossref{https://doi.org/10.17377/daio.2015.22.461}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3443296}
\elib{https://elibrary.ru/item.asp?id=23859890}
\transl
\jour J. Appl. Industr. Math.
\yr 2015
\vol 9
\issue 3
\pages 358--366
\crossref{https://doi.org/10.1134/S1990478915030072}
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    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Дискретный анализ и исследование операций
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    References:57
    First page:9
     
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