Design Improvement for Complex Systems with Uncertainty
Chen, Yue1; Shi, Jian2,3; Yi, Xiao-Jian4
Source PublicationMATHEMATICS
AbstractThe 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.
Keywordrobustness hyper-box uncertainty optimization key parameters constraints
Indexed BySCI
Funding ProjectNational 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 Research AreaMathematics
WOS SubjectMathematics
WOS IDWOS:000660252900001
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Document Type期刊论文
Corresponding AuthorShi, Jian; Yi, Xiao-Jian
Affiliation1.Capital Univ Econ & Business, Sch Stat, Beijing 100070, Peoples R China
2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100864, Peoples R China
3.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
4.Beijing Inst Technol, Sch Mechatron Engn, Beijing 100811, Peoples R China
Recommended Citation
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.
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