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Matematicheskie Zametki, 1997, Volume 62, Issue 4, Pages 502–509
DOI: https://doi.org/10.4213/mzm1633 (Mi mzm1633) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Solvability of the vector problem by the linear criteria convolution algorithm

M. K. Kravtsova, O. A. Yanushkevichb

a Belarusian Research Institute of Economics and Informatics, Belarus Academy of Agrarian Sciences
b Institute of Technical Cybernetics, National Academy of Sciences of Belarus
Full-text PDF (207 kB) Citations (2)
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DOI: https://doi.org/10.4213/mzm1633
Abstract: Conditions are found under which a multicriteria problem with a finite set of vector estimates is solvable by means of the linear criteria convolution (LCC) algorithm, that is, any Pareto optimum for the problem can be obtained as an optimum solution to a one-criterion problem with an aggregated criterion defined as an LCC. Also, an algorithm is suggested that is polynomial in dimension and reduces any problem with minimax and minimun criteria to an equivalent vector problem with the same Pareto set solvable by the LCC algorithm.
Received: 14.08.1995
English version:
Mathematical Notes, 1997, Volume 62, Issue 4, Pages 420–425
DOI: https://doi.org/10.1007/BF02358974
Bibliographic databases:
UDC: 519.10
Language: Russian
Citation: M. K. Kravtsov, O. A. Yanushkevich, “Solvability of the vector problem by the linear criteria convolution algorithm”, Mat. Zametki, 62:4 (1997), 502–509; Math. Notes, 62:4 (1997), 420–425
Citation in format AMSBIB
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\pages 502--509
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\transl
\jour Math. Notes
\yr 1997
\vol 62
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\pages 420--425
\crossref{https://doi.org/10.1007/BF02358974}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математические заметки Mathematical Notes
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