代理模型技术及其应用:现状与展望  

Survey and Prospect of Surrogate Model Technique and Application

作　　者：吕利叶 鲁玉军[1] 王硕 刘印 李昆鹏 宋学官 LÜLiye;LU Yujun;WANG Shuo;LIU Yin;LI Kunpeng;SONG Xueguan(Faculty of Mechanical Engineering and Automation,Zhejiang Sci-Tech University,Hangzhou 310018;School of Mechanical Engineering,Dalian University of Technology,Dalian 116024)

机构地区：[1]浙江理工大学机械工程学院,杭州310018 [2]大连理工大学机械工程学院,大连116024

出　　处：《机械工程学报》2024年第3期254-281,共28页Journal of Mechanical Engineering

基　　金：国家重点研发计划(2018YFB1700704);国家自然科学基金(52075068)资助项目。

摘　　要：代理模型是计算复杂且费时的数值分析模型的替代模型,在一定程度上弥补了传统工程优化设计和数值仿真分析设计周期长、计算成本高、维数灾难等短板。近年来,代理模型技术蓬勃发展,成果丰硕,被逐渐应用在航空航天、船舶、汽车、发电等领域。首先对代理模型进行总体概述,调查了近三十年代理模型相关论文发表总量与年发表量,总体分析了国内外学者在此领域的投入与产出。其次从试验设计、单保真度代理模型、多保真度代理模型这三方面较为详细地介绍了代理模型研究现状。接着围绕代理模型在优化设计中的应用展开调查,分析与概述了代理模型辅助的多学科优化设计、多目标优化设计和不确定性优化设计。最后归纳总结了代理模型技术目前存在的问题,并对未来的研究方向提出了一些建议。Surrogate model is a substitute of the numerical analysis model with complex and time-consuming calculation,which can make up for the shortcomings of traditional engineering optimization design and numerical simulation analysis,such as long design cycle,high computing costs,and curse of dimensionality.Surrogate model technique has developed rapidly and achieved abundant outcomes in recent years.It has been gradually applied in aerospace,ship industry,vehicle,power generation and other fields.First,this paper gives a general overview of the surrogate model technique,and investigates the total and increment number of papers published on the surrogate model in the past thirty years.Second,the research status of surrogate model and related typical methods and theories are introduced in detail from three aspects,namely design of experiments,single-fidelity surrogate model and multi-fidelity surrogate model.Then applications of surrogate model in optimization design are investigated.The overall investigation of the surrogate-assisted multidisciplinary,surrogate-assisted multi-objective,and surrogate-assisted uncertainty optimization design techniques are analysed and summarized.Finally,the underlying problems existing in the surrogate model technique are summarized,and some suggestions are proposed for the future research.

关 键 词：代理模型 试验设计 多保真度 序列取样 多目标优化设计 多学科优化设计 

分 类 号：TG11[金属学及工艺—物理冶金]