方法对比

	混合响应曲面法	Box-Behnken Design
领域	实验设计	实验设计
方法族	Process / pipeline	Process / pipeline
起源年份	1990s–2000s (systematic hybrid applications)	1960
提出者	Box & Wilson (RSM foundation, 1951); hybrid extensions by various authors from the 1990s onward	George E. P. Box and Donald W. Behnken
类型	Optimization methodology	Response 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: 978-1118916032	Box, G. E. P., & Behnken, D. W. (1960). Some new three level designs for the study of quantitative variables. Technometrics, 2(4), 455–475.
别名	Hybrid RSM, RSM-hybrid optimization, combined RSM, meta-model hybrid optimization	BBD, Box-Behnken, Box-Behnken RSM design, three-level incomplete factorial design
相关	5	3
摘要	Hybrid Response Surface Methodology (Hybrid RSM) couples classical response surface designs — which fit low-order polynomial approximations of a system response — with a secondary optimizer such as a genetic algorithm, particle swarm, or artificial neural network. The combination overcomes RSM's limitation of assuming smooth, near-quadratic response landscapes by letting the surrogate model be explored globally, making it widely used in engineering process optimization, product design, and simulation-based studies.	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.