Optimality Conditions for Pareto-Optimal Solutions; Key Engineering Materials; Vol. 685 : High Technology: Research and Applications 2015 (HTRA 2015)

Optimality Conditions for Pareto-Optimal Solutions; Key Engineering Materials; Vol. 685 : High Technology: Research and Applications 2015 (HTRA 2015)

Bibliografiset tiedot
Parent link:Key Engineering Materials: Scientific Journal
Vol. 685 : High Technology: Research and Applications 2015 (HTRA 2015).— 2016.— [P. 142-147]
Päätekijä: Gorbunov V. M. Vladimir Mikhailovich
Yhteisötekijä: Томский политехнический университет Институт кибернетики, ИК
Muut tekijät: Sinyukova E. A. Elena Aleksandrovna
Yhteenveto:Title screen
In this paper the authors describe necessary conditions of optimality for continuous multicriteria optimization problems. It is proved that the existence of effective solutions requires that the gradients of individual criteria were linearly dependent. The set of solutions is given by system of equations. It is shown that for finding necessary and sufficient conditions for multicriteria optimization problems, it is necessary to switch to the single-criterion optimization problem with the objective function, which is the convolution of individual criteria. These results are consistent with non-linear optimization problems with equality constraints. An example can be the study of optimal solutions obtained by the method of the main criterion for Pareto optimality.
Режим доступа: по договору с организацией-держателем ресурса
Kieli:englanti
Julkaistu: 2016
Sarja:Numerical Simulation of Physical and Chemical Processes
Aiheet:
электронный ресурс
труды учёных ТПУ
эффективные решения
многокритериальная оптимизация
оптимальные решения
локальная оптимизация
оптимальность по Парето
Linkit:http://dx.doi.org/10.4028/www.scientific.net/KEM.685.142
Aineistotyyppi: Elektroninen Kirjan osa
KOHA link:https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=646427

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