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Matematicheskie Zametki, 2002, Volume 72, Issue 1, Pages 38–47
DOI: https://doi.org/10.4213/mzm402 (Mi mzm402) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Quasistability of a Vector Trajectory Majority Optimization Problem

V. A. Emelichev, Yu. v. Stepanishina

Belarusian State University
Full-text PDF (224 kB) Citations (4)
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DOI: https://doi.org/10.4213/mzm402
Abstract: We consider a multicriteria combinatorial problem with majority optimality principle whose particular criteria are of the form MINSUM, MINMAX, and MINMIN. We obtain a lower attainable bound for the radius of quasistability of such a problem in the case of the Chebyshev norm on the space of perturbing parameters of the vector criterion. We give sufficient conditions for the quasistability of the problem; these are also necessary in the case of linear special criteria.
Received: 29.03.2000
English version:
Mathematical Notes, 2002, Volume 72, Issue 1, Pages 34–42
DOI: https://doi.org/10.1023/A:1019860803546
Bibliographic databases:
UDC: 519.10
Language: Russian
Citation: V. A. Emelichev, Yu. v. Stepanishina, “Quasistability of a Vector Trajectory Majority Optimization Problem”, Mat. Zametki, 72:1 (2002), 38–47; Math. Notes, 72:1 (2002), 34–42
Citation in format AMSBIB
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  • https://doi.org/10.4213/mzm402
  • https://www.mathnet.ru/eng/mzm/v72/i1/p38
    • This publication is cited in the following 4 articles:
    1. V. A. Emelichev, K. G. Kuzmin, “Analiz chuvstvitelnosti effektivnogo resheniya vektornoi bulevoi zadachi minimizatsii proektsii lineinykh funktsii na R+ i R−”, Diskretn. analiz i issled. oper., ser. 2, ser. 2, 12:2 (2005), 24–43  mathnet  mathscinet  zmath
    2. Ernelichev, VA, “The stability radius of an efficient solution to a vector problem of Boolean programming in the l(1) metric”, Doklady Mathematics, 71:2 (2005), 266  mathscinet  isi
    3. S. E. Bukhtoyarov, V. A. Emelichev, “On the quasistability of a vector trajectory problem with a parametric optimality principle”, Russian Math. (Iz. VUZ), 48:1 (2004), 23–27  mathnet  mathscinet  zmath
    4. V. A. Emelichev, K. G. Kuz'min, A. M. Leonovich, “On a type of stability for a vector combinatorial problem with partial criteria of the form Σ-MINMAX and Σ-MINMIN”, Russian Math. (Iz. VUZ), 48:12 (2004), 15–25  mathnet  mathscinet
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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