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工程设计学报
工程设计学报  2009, Vol. 16 Issue (4): 266-270    
工程设计理论、方法与技术     
基于Kriging代理模型的改进EGO算法研究
 王红涛, 竺晓程, 杜朝辉
上海交通大学机械与动力工程学院,上海200240
Research on improved EGO algorithm based on Kriging surrogate model
 WANG  Hong-Tao, ZHU  Xiao-Cheng, DU  Chao-Hui
School of Mechanical and Power Engineering, Shanghai Jiaotong University, Shanghai 200240, China
 全文: PDF(426 KB)   HTML
摘要： 代理模型是复杂工程优化设计问题的关键技术之一．基于Kriging代理模型的EGO算法作为一种贝叶斯全局优化算法引入了EI函数来确定校正点,保证了算法的全局收敛性．首先针对原始EGO算法的不足之处,提出改进EGO算法．然后采用改进EGO算法对4个经典函数和1个工程算例进行测试,最后从算法的收敛速度和精度两方面将不同的算法进行比较．结果表明改进后的EGO算法达到原始EGO算法精度时所需迭代步数更少,与基于响应面的优化算法相比在收敛速度和精度方面更具有优势．说明该方法适应性强,具有很高的工程实用价值．
关键词： 改进EGO算法;  全局优化;  Kriging模型;  试验设计方法    
Abstract: Surrogate model is a key technology for complex engineering optimization design. EGO algorithm, a Bayesian analysis optimization algorithm based on Kriging surrogate model, makes use of the EI function to select the next sampling point to ensure the global convergence. An improved EGO algorithm was proposed due to the shortcomings of original algorithm. Four representative numerical and one engineering examples were selected to test the improved EGO algorithm's performance. Finally, comparison of the improved EGO and other algorithms was conducted from the aspect of convergence efficiency and accuracy. The results show that the improved EGO algorithm is more efficient than the original one when the optimization process reaches the same accuracy and superior to response surface optimization algorithm in accuracy and converging efficiency. The method has strong adaptability and good engineering practical value．
Key words: improved EGO algorithm    global optimization    Kriging model    experimental design method
出版日期: 2009-08-28
基金资助:

国家自然科学基金资助项目(50576052)；博士点基金资助项目(20060248036)
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王红涛
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引用本文:

王红涛, 竺晓程, 杜朝辉. 基于Kriging代理模型的改进EGO算法研究[J]. 工程设计学报, 2009, 16(4): 266-270.

WANG Hong-Tao, ZHU Xiao-Cheng, DU Chao-Hui. Research on improved EGO algorithm based on Kriging surrogate model[J]. Chinese Journal of Engineering Design, 2009, 16(4): 266-270.

链接本文:

https://www.zjujournals.com/gcsjxb/CN/    或    https://www.zjujournals.com/gcsjxb/CN/Y2009/V16/I4/266

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