Response surface approximation of Pareto optimal front in multi-objective optimization
| Autor: | Kevin Tucker, Wei Shyy, Tushar Goel, Nestor V. Queipo, Raphael T. Haftka, Rajkumar Vaidyanathan |
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| Rok vydání: | 2007 |
| Předmět: |
Convex hull
Mathematical optimization business.product_category Computer science Mechanical Engineering Computational Mechanics Evolutionary algorithm General Physics and Astronomy Injector Multi-objective optimization law.invention Computer Science Applications Quintic function Pareto optimal Rocket law Mechanics of Materials Genetic algorithm Response surface approximation business Engineering design process Front (military) Mathematics |
| Zdroj: | Hong Kong University of Science and Technology |
| ISSN: | 0045-7825 |
| DOI: | 10.1016/j.cma.2006.07.010 |
| Popis: | A systematic approach is presented to approximate the Pareto optimal front (POF) by a response surface approximation. The data for the POF is obtained by multi-objective evolutionary algorithm. Improvements to address drift in the POF are also presented. The approximated POF can help visualize and quantify trade-offs among objectives to select compromise designs. The bounds of this approximate POF are obtained using multiple convex-hulls. The proposed approach is applied to study trade-offs among objectives of a rocket injector design problem where performance and life objectives compete. The POF is approximated using a quintic polynomial. The compromise region quantifies trade-offs among objectives. � 2006 Elsevier B.V. All rights reserved. |
| Databáze: | OpenAIRE |
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