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基于仿真的响应面方法×Box-Behnken Design×
领域实验设计实验设计
方法族Process / pipelineProcess / pipeline
起源年份1951 (RSM); simulation integration widely adopted from 1980s onward1960
提出者Box & Wilson (RSM foundation); Kleijnen and others for simulation-based extensionsGeorge E. P. Box and Donald W. Behnken
类型Experimental optimization methodResponse surface design (incomplete three-level factorial)
开创性文献Myers, R. H., Montgomery, D. C., & Anderson-Cook, C. M. (2016). Response Surface Methodology: Process and Product Optimization Using Designed Experiments (4th ed.). Wiley. ISBN: 978-1118916025Box, G. E. P., & Behnken, D. W. (1960). Some new three level designs for the study of quantitative variables. Technometrics, 2(4), 455–475. DOI ↗
别名SA-RSM, simulation-based RSM, computer simulation RSM, metamodel-assisted RSMBBD, Box-Behnken, Box-Behnken RSM design, three-level incomplete factorial design
相关63
摘要Simulation-assisted response surface methodology (SA-RSM) combines computer simulation models — such as finite element analysis, computational fluid dynamics, or discrete-event simulation — with the statistical framework of response surface methodology to efficiently map, model, and optimize system responses. Instead of running physical experiments, the researcher executes simulation runs at design points prescribed by an RSM design, fits a polynomial metamodel (surrogate) to the simulation outputs, and uses that metamodel to locate optimal factor settings.The Box-Behnken design (BBD) is an efficient response surface methodology design that fits a full second-order polynomial model using three levels of each factor. Introduced by Box and Behnken in 1960, it places experimental points at the midpoints of the edges of a hypercube and at the center, avoiding the corner points where all factors are simultaneously at their extreme levels. This structure makes BBD particularly attractive when extreme-level combinations are physically impossible, costly, or unsafe to test.
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ScholarGate方法对比: Simulation-assisted response surface methodology · Box-Behnken Design. 于 2026-06-18 检索自 https://scholargate.app/zh/compare