南京航空航天大学学报(英文版)
南京航空航天大學學報(英文版)
남경항공항천대학학보(영문판)
TRANSACTIONS OF NANJING UNIVERSITY OF AERONATICS & ASTRONAUTICS
2006年
2期
81-86
,共6页
多目标优化设计%Pareto阵面%确定性优化算法%空气动力学
多目標優化設計%Pareto陣麵%確定性優化算法%空氣動力學
다목표우화설계%Pareto진면%학정성우화산법%공기동역학
multi-criterion design%Pareto front%deterministic optimization methods%aerodynamics
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.
將確定性優化算法和Pareto陣麵概唸結閤起來處理瞭多目標優化設計問題;給齣瞭結閤算法及數值過程的細節,併將其應用到瞭氣動優化設計中;描述瞭如何用確定性優化算法快速抓穫多目標優化問題的Pareto陣麵以及能夠抓穫哪些類型的Pareto陣麵.數值實驗結果錶明,確定性優化算法可以準確高效地抓穫任意凸的和某些凹的Pareto陣麵,故對于此類多目標氣動優化問題,可用確定性算法代替進化算法.
장학정성우화산법화Pareto진면개념결합기래처리료다목표우화설계문제;급출료결합산법급수치과정적세절,병장기응용도료기동우화설계중;묘술료여하용학정성우화산법쾌속조획다목표우화문제적Pareto진면이급능구조획나사류형적Pareto진면.수치실험결과표명,학정성우화산법가이준학고효지조획임의철적화모사요적Pareto진면,고대우차류다목표기동우화문제,가용학정성산법대체진화산법.
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.