Optimality Conditions for Pareto-Optimal Solutions
| Parent link: | Key Engineering Materials: Scientific Journal Vol. 685 : High Technology: Research and Applications 2015 (HTRA 2015).— 2016.— [P. 142-147] |
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| Summary: | 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 |
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2016
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| Series: | Numerical Simulation of Physical and Chemical Processes |
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| Online Access: | http://dx.doi.org/10.4028/www.scientific.net/KEM.685.142 |
| Format: | Electronic Book Chapter |
| KOHA link: | https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=646427 |