Design Improvement for Complex Systems with Uncertainty

doi:10.3390/math9111173

	Design Improvement for Complex Systems with Uncertainty
	Chen, Yue 4; Shi, Jian 2,3; Yi, Xiao-Jian 1
刊名	MATHEMATICS
	2021-06-01
卷号	9 期号:11 页码:20
关键词	robustness hyper-box uncertainty optimization key parameters constraints
DOI	10.3390/math9111173
英文摘要	The uncertainty of the engineering system increases with its complexity, therefore, the tolerance to the uncertainty becomes important. Even under large variations of design parameters, the system performance should achieve the design goal in the design phase. Therefore, engineers are interested in how to turn a bad design into a good one with the least effort in the presence of uncertainty. To improve a bad design, we classify design parameters into key parameters and non-key parameters based on engineering knowledge, and then seek the maximum solution hyper-box which already includes non-key parameters of this bad design. The solution hyper-box on which all design points are good, that is, they achieve the design goal, provides target intervals for each parameter. The bad design can be turned into a good one by only moving its key parameters into their target intervals. In this paper, the PSO-Divide-Best method is proposed to seek the maximum solution hyper-box which is in compliance with the constraints. This proposed approach has a considerably high possibility to find the globally maximum solution hyper-box that satisfies the constraints and can be used in complex systems with black-box performance functions. Finally, case studies show that the proposed approach outperforms the EPCP and IA-CES methods in the literature.
资助项目	National Natural Science Foundation of China[71801196] ; National Major Project from the Shanghai Nuclear Engineering Research and Design Institute[2017ZX06002006] ; Science Research Foundation of Capital University of Economics and Business[XRZ2021043]
WOS研究方向	Mathematics
语种	英语
出版者	MDPI
WOS记录号	WOS:000660252900001
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/58860]
专题	中国科学院数学与系统科学研究院
通讯作者	Shi, Jian; Yi, Xiao-Jian
作者单位	1.Beijing Inst Technol, Sch Mechatron Engn, Beijing 100811, Peoples R China 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100864, Peoples R China 4.Capital Univ Econ & Business, Sch Stat, Beijing 100070, Peoples R China
推荐引用方式 GB/T 7714	Chen, Yue,Shi, Jian,Yi, Xiao-Jian. Design Improvement for Complex Systems with Uncertainty[J]. MATHEMATICS,2021,9(11):20.
APA	Chen, Yue,Shi, Jian,&Yi, Xiao-Jian.(2021).Design Improvement for Complex Systems with Uncertainty.MATHEMATICS,9(11),20.
MLA	Chen, Yue,et al."Design Improvement for Complex Systems with Uncertainty".MATHEMATICS 9.11(2021):20.