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空问映射与响应面法相结合的改进优化算法
引用本文:张立新,王大勇,许朝辉,郝小龙.空问映射与响应面法相结合的改进优化算法[J].中国石油大学学报(自然科学版),2007,31(3):90-93.
作者姓名:张立新  王大勇  许朝辉  郝小龙
作者单位:1. 中国石油勘探开发研究院,采油采气装备研究所,北京,100083
2. 海洋石油工程股份有限公司,天津,300452
3. 中海油田服务股份有限公司,天津,300451
4. 中国石油天然气第一建设公司,河南,洛阳,471023
基金项目:国家自然科学基金;北京市自然科学基金;北京市科委科研项目
摘    要:在空间映射与响应面法相结合的基础上修改了序列响应面的程序流程,从而改变了应用响应面方法优化时的迭代本质。改进方法无须每次迭代重新拟合低保真模型响应面,只在第一次迭代拟合响应面,在此基础上调整高低保真模型设计变量间的映射关系,优化收敛更迅速。由于避免了反复的试验设计和模型分析,改进方法的计算效率远高于原方法。数值算例表明了该方法的稳定性,此方法可以大大减少应用序列响应面进行优化或可靠性评价的计算量。

关 键 词:空间映射  响应面方法  高保真模型
文章编号:1673-5005(2007)03-0090-04
修稿时间:2006-10-20

Modified optimization algorithm combining space mapping and response surface methodology
ZHANG Li-xin,WANG Da-yong,XU Zhao-hui,HA Xiao-long.Modified optimization algorithm combining space mapping and response surface methodology[J].Journal of China University of Petroleum,2007,31(3):90-93.
Authors:ZHANG Li-xin  WANG Da-yong  XU Zhao-hui  HA Xiao-long
Affiliation:1. Petroleum Equipment Department, Exploration and Development Research Institute, PetroChina, Beijing 100083, China ; 2. Offshore Oil Engineering Co. Ltd, Tianjin 300452, China; 3. China Oilfield Service Limited Company, Tianjin 300451, China; 4. China Petroleum First Construction Company, Luoyang 471023, China
Abstract:The implementation procedure of original algorithm combining space mapping technique and response surface methodology(RSM) was modified,which changes the iterative nature of successive RSM accordingly.Using the modified algorithm,the response surface of low-fidelity model is not regenerated at every iteration except the first one,based on which the mapping between high-fidelity and low-fidelity model parameters can be adjusted iteratively and better convergence can be achieved.Repetitive experimental design and model evaluation are avoided,so the modified algorithm has better computation efficiency compared with the original algorithm.Numerical examples show that the new procedure is stable,and its wide application to problems of structural and multidisciplinary optimization and reliability evaluation can greatly improve the computational efficiency.
Keywords:space mapping  response surface methodology  high-fidelity model
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