Conditions for the efficiency of a solution of a vector discrete optimization problem
Diskretnaya Matematika, Tome 11 (1999) no. 1, pp. 140-145
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.
@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
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/