Optimality Conditions for Pareto-Optimal Solutions; Key Engineering Materials; Vol. 685 : High Technology: Research and Applications 2015 (HTRA 2015)
| 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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| Zusammenfassung: | 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 |
| Sprache: | Englisch |
| Veröffentlicht: |
2016
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| Schriftenreihe: | Numerical Simulation of Physical and Chemical Processes |
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| Online-Zugang: | http://dx.doi.org/10.4028/www.scientific.net/KEM.685.142 |
| Format: | Elektronisch Buchkapitel |
| KOHA link: | https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=646427 |
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| 200 | 1 | |a Optimality Conditions for Pareto-Optimal Solutions |f V. M. Gorbunov, E. A. Sinyukova | |
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| 225 | 1 | |a Numerical Simulation of Physical and Chemical Processes | |
| 300 | |a Title screen | ||
| 330 | |a 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. | ||
| 333 | |a Режим доступа: по договору с организацией-держателем ресурса | ||
| 461 | 0 | |0 (RuTPU)RU\TPU\network\11477 |t Key Engineering Materials |o Scientific Journal | |
| 463 | 0 | |0 (RuTPU)RU\TPU\network\11478 |t Vol. 685 : High Technology: Research and Applications 2015 (HTRA 2015) |o The IV International Conference, April 21-24, 2015, Tomsk, Russia |o [proceedings] |f National Research Tomsk Polytechnic University (TPU) ; ed. N. V. Martyushev, A. M. Bogdan |v [P. 142-147] |d 2016 | |
| 610 | 1 | |a электронный ресурс | |
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| 610 | 1 | |a эффективные решения | |
| 610 | 1 | |a многокритериальная оптимизация | |
| 610 | 1 | |a оптимальные решения | |
| 610 | 1 | |a локальная оптимизация | |
| 610 | 1 | |a оптимальность по Парето | |
| 700 | 1 | |a Gorbunov |b V. M. |c specialist in the field of informatics and computer technology |c Associate Professor of Tomsk Polytechnic University, candidate of technical sciences |f 1951- |g Vladimir Mikhailovich |3 (RuTPU)RU\TPU\pers\36305 | |
| 701 | 1 | |a Sinyukova |b E. A. |c specialist in the field of informatics and computer technology |c engineer of Tomsk Polytechnic University |f 1960- |g Elena Aleksandrovna |3 (RuTPU)RU\TPU\pers\36304 |9 19378 | |
| 712 | 0 | 2 | |a Национальный исследовательский Томский политехнический университет (ТПУ) |b Институт кибернетики (ИК) |b Кафедра информатики и проектирования систем (ИПС) |3 (RuTPU)RU\TPU\col\18697 |
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