Multiobjective optimization in a pseudometric objective space as applied to a general model of business activities
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 56 (2016) no. 9, pp. 1602-1613
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It is shown that finding the equivalence set for solving multiobjective discrete optimization problems is advantageous over finding the set of Pareto optimal decisions. An example of a set of key parameters characterizing the economic efficiency of a commercial firm is proposed, and a mathematical model of its activities is constructed. In contrast to the classical problem of finding the maximum profit for any business, this study deals with a multiobjective optimization problem. A method for solving inverse multiobjective problems in a multidimensional pseudometric space is proposed for finding the best project of firm's activities. The solution of a particular problem of this type is presented.
@article{ZVMMF_2016_56_9_a5,
author = {R. V. Khachaturov},
title = {Multiobjective optimization in a pseudometric objective space as applied to a general model of business activities},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {1602--1613},
publisher = {mathdoc},
volume = {56},
number = {9},
year = {2016},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_2016_56_9_a5/}
}
TY - JOUR AU - R. V. Khachaturov TI - Multiobjective optimization in a pseudometric objective space as applied to a general model of business activities JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 2016 SP - 1602 EP - 1613 VL - 56 IS - 9 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZVMMF_2016_56_9_a5/ LA - ru ID - ZVMMF_2016_56_9_a5 ER -
%0 Journal Article %A R. V. Khachaturov %T Multiobjective optimization in a pseudometric objective space as applied to a general model of business activities %J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki %D 2016 %P 1602-1613 %V 56 %N 9 %I mathdoc %U http://geodesic.mathdoc.fr/item/ZVMMF_2016_56_9_a5/ %G ru %F ZVMMF_2016_56_9_a5
R. V. Khachaturov. Multiobjective optimization in a pseudometric objective space as applied to a general model of business activities. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 56 (2016) no. 9, pp. 1602-1613. http://geodesic.mathdoc.fr/item/ZVMMF_2016_56_9_a5/