Constructing the set of effective vectors by the method of $\varepsilon$ perturbations
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 45 (2005) no. 5, pp. 824-845
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Multicriteria (vector) optimization is examined under assumptions that are conventional for the classical problem of constrained optimization. The method of $\varepsilon$ perturbations is used to construct a sequence of sets converging to a set that contains all the effective vectors and does not contain vectors distinct from weakly effective ones.
@article{ZVMMF_2005_45_5_a5,
author = {Ya. I. Rabinovich},
title = {Constructing the set of effective vectors by the method of $\varepsilon$ perturbations},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {824--845},
year = {2005},
volume = {45},
number = {5},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_2005_45_5_a5/}
}
TY - JOUR AU - Ya. I. Rabinovich TI - Constructing the set of effective vectors by the method of $\varepsilon$ perturbations JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 2005 SP - 824 EP - 845 VL - 45 IS - 5 UR - http://geodesic.mathdoc.fr/item/ZVMMF_2005_45_5_a5/ LA - ru ID - ZVMMF_2005_45_5_a5 ER -
%0 Journal Article %A Ya. I. Rabinovich %T Constructing the set of effective vectors by the method of $\varepsilon$ perturbations %J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki %D 2005 %P 824-845 %V 45 %N 5 %U http://geodesic.mathdoc.fr/item/ZVMMF_2005_45_5_a5/ %G ru %F ZVMMF_2005_45_5_a5
Ya. I. Rabinovich. Constructing the set of effective vectors by the method of $\varepsilon$ perturbations. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 45 (2005) no. 5, pp. 824-845. http://geodesic.mathdoc.fr/item/ZVMMF_2005_45_5_a5/
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