| 应用确定性优化算法求解多目标气动设计问题的Pareto阵面 |
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| 引用本文： | 唐智礼. 应用确定性优化算法求解多目标气动设计问题的Pareto阵面[J]. 南京航空航天大学学报(英文版), 2006, 23(2): 81-86 |
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| 作者姓名： | 唐智礼 |
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| 作者单位： | 南京航空航天大学航空宇航学院,南京,210016,中国 |
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| 基金项目： | 中国科学院资助项目;教育部留学回国人员科研启动基金;国家高技术研究发展计划(863计划);国家留学回国人员科研项目 |
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| 摘 要： | 将确定性优化算法和Pareto阵面概念结合起来处理了多目标优化设计问题；给出了结合算法及数值过程的细节，并将其应用到了气动优化设计中；描述了如何用确定性优化算法快速抓获多目标优化问题的Pareto阵面以及能够抓获哪些类型的Pareto阵面。数值实验结果表明，确定性优化算法可以准确高效地抓获任意凸的和某些凹的Pareto阵面，故对于此类多目标气动优化问题，可用确定性算法代替进化算法。
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| 关 键 词： | 多目标优化设计 Pareto阵面 确定性优化算法 空气动力学 |
| 收稿时间： | 2005-05-20 |
| 修稿时间： | 2005-10-08 |
PARETO FRONT CAPTURE USING DETERMINISTIC OPTIMIZATION METHODS IN MULTI-CRITERION AERODYNAMIC DESIGN |
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| Tang Zhili. PARETO FRONT CAPTURE USING DETERMINISTIC OPTIMIZATION METHODS IN MULTI-CRITERION AERODYNAMIC DESIGN[J]. Transactions of Nanjing University of Aeronautics & Astronautics, 2006, 23(2): 81-86 |
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| Authors: | Tang Zhili |
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| Affiliation: | College of Aerospace Engineering, NUAA, 29 Yudao Street, Nanjing, 210016, P. R. China |
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| Abstract: | Deterministic optimization methods are combined with the Pareto front concept to solve multi-criterion design problems. The algorithm and the numerical implementation are applied to aerodynamic designs. Evolutionary algorithms (EAs) and the Pareto front concept are used to solve practical design problems in industry for its robustness in capturing convex, concave, discrete or discontinuous Pareto fronts of multi-objective optimization problems. However, the process is time-consuming. Therefore, deterministic optimization methods are introduced to capture the Pareto front, and the types of the captured Pareto front are explained. Numerical experiments show that the deterministic optimization method is a good alternative to EAs for capturing any convex and some concave Pareto fronts in multi-criterion aerodynamic optimization problems due to its efficiency. |
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| Keywords: | multi-criterion design Pareto front deterministic optimization methods aerodynamics |
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