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Diskretnaya Matematika, 2002, Volume 14, Issue 1, Pages 17–29
DOI: https://doi.org/10.4213/dm225 (Mi dm225) 		 
On conditions for the efficiency of a solution of a multicriterial discrete problem

V. A. Emelichev, A. V. Pashkevich
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DOI: https://doi.org/10.4213/dm225
Abstract: For a wide class of multicriteria (vector) optimisation problems with a finite set of vector constraints, basing on the additive method of aggregating special monotone functions of partial criteria, we obtain necessary and sufficient conditions of efficiency (Pareto-optimality) of a solution.
This research was supported by the State Program of Basic Research of Republic Belarus ‘Algorithm.’
Received: 02.05.2001
Bibliographic databases:
UDC: 519.6
Language: Russian
Citation: V. A. Emelichev, A. V. Pashkevich, “On conditions for the efficiency of a solution of a multicriterial discrete problem”, Diskr. Mat., 14:1 (2002), 17–29; Discrete Math. Appl., 12:2 (2002), 141–153
Citation in format AMSBIB
\Bibitem{EmePas02}
\by V.~A.~Emelichev, A.~V.~Pashkevich
\paper On conditions for the efficiency of a solution of a multicriterial discrete problem
\jour Diskr. Mat.
\yr 2002
\vol 14
\issue 1
\pages 17--29
\mathnet{http://mi.mathnet.ru/dm225}
\crossref{https://doi.org/10.4213/dm225}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=1919854}
\zmath{https://zbmath.org/?q=an:1134.90483}
\transl
\jour Discrete Math. Appl.
\yr 2002
\vol 12
\issue 2
\pages 141--153
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    		Дискретная математика
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