On regularization of lexicographic problems by the method of minimum concessions
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 23 (1983) no. 6, pp. 1326-1340
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A method of regularizing multistage lexicographic problems, based on the introduction of “concessions”, is studied, The class of lexicographic problems is determined, for which the method of concessions is regularizing with minimal tolerable concessions with respect to the criteria. For convex piecewise polynomial lexicographic problems, an estimate is obtained for the deviation of the regularized from the true solution.
@article{ZVMMF_1983_23_6_a4,
author = {V. N. Nefedov},
title = {On regularization of lexicographic problems by the method of minimum concessions},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {1326--1340},
publisher = {mathdoc},
volume = {23},
number = {6},
year = {1983},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_1983_23_6_a4/}
}
TY - JOUR AU - V. N. Nefedov TI - On regularization of lexicographic problems by the method of minimum concessions JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 1983 SP - 1326 EP - 1340 VL - 23 IS - 6 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZVMMF_1983_23_6_a4/ LA - ru ID - ZVMMF_1983_23_6_a4 ER -
%0 Journal Article %A V. N. Nefedov %T On regularization of lexicographic problems by the method of minimum concessions %J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki %D 1983 %P 1326-1340 %V 23 %N 6 %I mathdoc %U http://geodesic.mathdoc.fr/item/ZVMMF_1983_23_6_a4/ %G ru %F ZVMMF_1983_23_6_a4
V. N. Nefedov. On regularization of lexicographic problems by the method of minimum concessions. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 23 (1983) no. 6, pp. 1326-1340. http://geodesic.mathdoc.fr/item/ZVMMF_1983_23_6_a4/