Nonuniform covering method as applied to multicriteria optimization problems with guaranteed accuracy
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 53 (2013) no. 2, pp. 209-224
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The nonuniform covering method is applied to multicriteria optimization problems. The $\varepsilon$-Pareto set is defined, and its properties are examined. An algorithm for constructing an $\varepsilon$-Pareto set with guaranteed accuracy $\varepsilon$ is described. The efficiency of implementing this approach is discussed, and numerical results are presented.
@article{ZVMMF_2013_53_2_a3,
author = {Yu. G. Evtushenko and M. A. Posypkin},
title = {Nonuniform covering method as applied to multicriteria optimization problems with guaranteed accuracy},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {209--224},
publisher = {mathdoc},
volume = {53},
number = {2},
year = {2013},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_2013_53_2_a3/}
}
TY - JOUR AU - Yu. G. Evtushenko AU - M. A. Posypkin TI - Nonuniform covering method as applied to multicriteria optimization problems with guaranteed accuracy JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 2013 SP - 209 EP - 224 VL - 53 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZVMMF_2013_53_2_a3/ LA - ru ID - ZVMMF_2013_53_2_a3 ER -
%0 Journal Article %A Yu. G. Evtushenko %A M. A. Posypkin %T Nonuniform covering method as applied to multicriteria optimization problems with guaranteed accuracy %J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki %D 2013 %P 209-224 %V 53 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/item/ZVMMF_2013_53_2_a3/ %G ru %F ZVMMF_2013_53_2_a3
Yu. G. Evtushenko; M. A. Posypkin. Nonuniform covering method as applied to multicriteria optimization problems with guaranteed accuracy. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 53 (2013) no. 2, pp. 209-224. http://geodesic.mathdoc.fr/item/ZVMMF_2013_53_2_a3/