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Diskretnyi Analiz i Issledovanie Operatsii, 2021, Volume 28, Issue 4, Pages 90–116
DOI: https://doi.org/10.33048/daio.2021.28.712 (Mi da1287) 		 
The reduction of the Pareto set of a special structure in bicriteria discrete problems

A. O. Zakharova, Yu. V. Kovalenkob

a St. Petersburg State University, 7-9 Universitetskaya Embankment, 199034 St. Petersburg, Russia
b Sobolev Institute of Mathematics, 13 Pevtsov Street, 644099 Omsk, Russia
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DOI: https://doi.org/10.33048/daio.2021.28.712
Abstract: We investigate bicriteria discrete optimization problems in the context of the axiomatic approach of the Pareto set reduction. The degree of the reduction with respect to values of the coefficient of compromise is evaluated for special structures and general case of the Pareto set. The results are applied to the set covering problem and vehicle routing problems. Illustr. 4, bibliogr. 19.
Keywords: discrete optimization, bicriteria problem, the Pareto set reduction, preference relation of the decision maker.
Funding agency Grant number
Russian Foundation for Basic Research 20-07-00298
Siberian Branch of Russian Academy of Sciences I.5.1 (проект № 0314–2019–0019)
The work of the first author (Sections 1, 3, 5) is supported by the Russian Foundation for Basic Research (Project 20–07–00298); the work of the second author (Sections 2, 4, 6) is supported by the Program of Fundamental Scientific Research of SB RAS No. I.5.1 (Project 0314–2019–0019).
Received: 19.04.2021
Revised: 08.06.2021
Accepted: 10.06.2021
Document Type: Article
UDC: 519.816+519.854.2
Language: Russian
Citation: A. O. Zakharov, Yu. V. Kovalenko, “The reduction of the Pareto set of a special structure in bicriteria discrete problems”, Diskretn. Anal. Issled. Oper., 28:4 (2021), 90–116
Citation in format AMSBIB
\Bibitem{ZakKov21}
\by A.~O.~Zakharov, Yu.~V.~Kovalenko
\paper The reduction of the Pareto set of a special structure in bicriteria discrete problems
\jour Diskretn. Anal. Issled. Oper.
\yr 2021
\vol 28
\issue 4
\pages 90--116
\mathnet{http://mi.mathnet.ru/da1287}
\crossref{https://doi.org/10.33048/daio.2021.28.712}
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    		Дискретный анализ и исследование операций
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