Diskretnaya Matematika, Tome 11 (1999) no. 1, pp. 140-145
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V. A. Emelichev; A. V. Pashkevich; O. A. Yanushkevich. Conditions for the efficiency of a solution of a vector discrete optimization problem. Diskretnaya Matematika, Tome 11 (1999) no. 1, pp. 140-145. http://geodesic.mathdoc.fr/item/DM_1999_11_1_a9/
@article{DM_1999_11_1_a9,
author = {V. A. Emelichev and A. V. Pashkevich and O. A. Yanushkevich},
title = {Conditions for the efficiency of a solution of a vector discrete optimization problem},
journal = {Diskretnaya Matematika},
pages = {140--145},
year = {1999},
volume = {11},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/DM_1999_11_1_a9/}
}
TY - JOUR
AU - V. A. Emelichev
AU - A. V. Pashkevich
AU - O. A. Yanushkevich
TI - Conditions for the efficiency of a solution of a vector discrete optimization problem
JO - Diskretnaya Matematika
PY - 1999
SP - 140
EP - 145
VL - 11
IS - 1
UR - http://geodesic.mathdoc.fr/item/DM_1999_11_1_a9/
LA - ru
ID - DM_1999_11_1_a9
ER -
%0 Journal Article
%A V. A. Emelichev
%A A. V. Pashkevich
%A O. A. Yanushkevich
%T Conditions for the efficiency of a solution of a vector discrete optimization problem
%J Diskretnaya Matematika
%D 1999
%P 140-145
%V 11
%N 1
%U http://geodesic.mathdoc.fr/item/DM_1999_11_1_a9/
%G ru
%F DM_1999_11_1_a9
For some classes of multicriteria problems with a finite set of vector valuations, necessary and sufficient conditions of the Pareto-optimality of the solution in terms of a sum of modified criteria are found, and, in particular, in terms of a sum of positive powers of criteria.This research was supported by the Foundation for Basic Research of Republic Byelarus, grant F97-266.
