文献类型：期刊文献

中文题名：工程优化设计中的近似模型技术

英文题名：A Survey of Metamodeling Techniques in Engineering Optimization

作者：韩鼎[1];郑建荣[1]

机构：[1]华东理工大学机械与动力工程学院,上海200237

年份：2012

卷号：38

期号：6

起止页码：762

中文期刊名：华东理工大学学报（自然科学版）

外文期刊名：Journal of East China University of Science and Technology

收录：CSTPCD;;Scopus;北大核心:【北大核心2011】；CSCD:【CSCD2011_2012】；

语种：中文

中文关键词：近似模型;响应面;多元自适应样条;克立格;径向基;支持向量回归

外文关键词：metamodel; response surface method; multivariate adaptive regression spline~ Kriging;radical basis function support vector regression

摘要：解决复杂系统的建模优化问题,需根据具体的应用环境,选择合适的近似模型。本文对响应面模型、多元自适应回归样条模型、克立格模型、径向基函数模型、支持向量回归模型等近似模型的性能特点和适用范围进行了系统的比较研究,在分析这些近似模型基本特性的基础上,选取具有广泛代表性的测试函数,并综合考虑问题的复杂度、非线性程度、采样点的规模及分布等多个因素,对上述5种近似模型的全局和局部拟合能力、鲁棒性等进行了较为全面的比较评价,并给出应用实例。
Metamodel is an effective tool in modeling and optimizing complex systems, it is important to choose appropriate metamodel for specific domain. This paper presents the basic feature and essential background of metamodels, some widely used metamodeling techniques including response surface method, multivariate adaptive regression spline, radical hasis function, Kriging and support vector regression are briefly reviewed. Several representative benchmark testing functions are employed to compare the robustness, global and local fitting capacity of these five metamodels. Several influencing factors are investigated, including complexity and nonlinearity of problems, scale and distribution of samples. The effectiveness of metamodel is illustrated in an engineering example.