Diskretnyi Analiz i Issledovanie Operatsii
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor
Guidelines for authors

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Diskretn. Anal. Issled. Oper.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Diskretnyi Analiz i Issledovanie Operatsii, 2019, Volume 26, Issue 1, Pages 5–19
DOI: https://doi.org/10.33048/daio.2019.26.624 (Mi da914) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Stability aspects of multicriteria integer linear programming problems

S. E. Bukhtoyarov, V. A. Emelichev

Belarusian State University, 4 Nezavisimosti Ave., 220030 Minsk, Belarus
Full-text PDF (317 kB) Citations (4)
References:
PDF
HTML
DOI: https://doi.org/10.33048/daio.2019.26.624
Abstract: Under consideration are the multicriteria integer linear programming problems with finitely many feasible solutions. The problem itself consists in finding a set of extremal solutions. We derive some lower and upper bounds for the $T_1$-stability radius under assumption that arbitrary Hölder norms are given in the solution and criteria spaces. A class of the problems with an infinitely large stability radius is specified. We also consider the case of the multicriteria linear Boolean problem. Bibliogr. 22.
Keywords: multicriteria ILP problem, set of extremal solutions, stability radius, $T_1$-stability, the Hölder norm.
Received: 15.07.2018
Revised: 19.10.2018
Accepted: 28.11.2018
English version:
Journal of Applied and Industrial Mathematics, 2019, Volume 13, Issue 1, Pages 22–29
DOI: https://doi.org/10.1134/S1990478919010034
Bibliographic databases:
Document Type: Article
UDC: 519.8
Language: Russian
Citation: S. E. Bukhtoyarov, V. A. Emelichev, “Stability aspects of multicriteria integer linear programming problems”, Diskretn. Anal. Issled. Oper., 26:1 (2019), 5–19; J. Appl. Industr. Math., 13:1 (2019), 22–29
Citation in format AMSBIB
\Bibitem{BukEme19}
\by S.~E.~Bukhtoyarov, V.~A.~Emelichev
\paper Stability aspects of multicriteria integer~linear~programming problems
\jour Diskretn. Anal. Issled. Oper.
\yr 2019
\vol 26
\issue 1
\pages 5--19
\mathnet{http://mi.mathnet.ru/da914}
\crossref{https://doi.org/10.33048/daio.2019.26.624}
\transl
\jour J. Appl. Industr. Math.
\yr 2019
\vol 13
\issue 1
\pages 22--29
\crossref{https://doi.org/10.1134/S1990478919010034}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85064805534}
Linking options:
  • https://www.mathnet.ru/eng/da914
  • https://www.mathnet.ru/eng/da/v26/i1/p5
    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Дискретный анализ и исследование операций
    Statistics & downloads:
    Abstract page:327
    Full-text PDF :53
    References:47
    First page:8
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024