中国机械工程
中國機械工程
중국궤계공정
CHINA MECHANICAl ENGINEERING
2015年
16期
2179-2182
,共4页
模糊聚类%合作竞争博弈%均匀设计%回归分析
模糊聚類%閤作競爭博弈%均勻設計%迴歸分析
모호취류%합작경쟁박혁%균균설계%회귀분석
fuzzy clustering%cooperative competition game%uniform design%regression analysis
针对多目标优化问题转化为博弈问题的难点，即博弈问题的各博弈方战略集的确定问题，利用均匀设计试验法、回归分析和 F 检验为模糊聚类提供数据基础，将多目标优化设计与博弈分析结合起来，提出了一种多目标优化方法。以减速器优化设计为例，对该方法的性能进行了分析与验证，并与传统单目标优化方法进行对比分析。结果表明，该方法收敛速度快，计算效率高，无需人为确定各目标权重，具有工程应用价值。
針對多目標優化問題轉化為博弈問題的難點，即博弈問題的各博弈方戰略集的確定問題，利用均勻設計試驗法、迴歸分析和 F 檢驗為模糊聚類提供數據基礎，將多目標優化設計與博弈分析結閤起來，提齣瞭一種多目標優化方法。以減速器優化設計為例，對該方法的性能進行瞭分析與驗證，併與傳統單目標優化方法進行對比分析。結果錶明，該方法收斂速度快，計算效率高，無需人為確定各目標權重，具有工程應用價值。
침대다목표우화문제전화위박혁문제적난점，즉박혁문제적각박혁방전략집적학정문제，이용균균설계시험법、회귀분석화 F 검험위모호취류제공수거기출，장다목표우화설계여박혁분석결합기래，제출료일충다목표우화방법。이감속기우화설계위례，대해방법적성능진행료분석여험증，병여전통단목표우화방법진행대비분석。결과표명，해방법수렴속도쾌，계산효솔고，무수인위학정각목표권중，구유공정응용개치。
Aiming at the difficulty of transforming multi-objective optimization problem to game problem which was about determining the strategy set for each partition of game players,a multi-objective optimization method was proposed by using uniform design experimentation,regression analysis and F test statistic to ob-tain data bases for fuzzy clustering and combining cooperative competition game.Taking reducer design opti-mization as an example,performance of the method was analyzed and verified.Compared with the traditional single-objective optimization method,the experimental results show that the multi-objective method has fast convergence rate and high computational efficiency,and it is unneccessary to determine the weight of each tar-get,which has engineering application values.
