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优化辅助的中心复合设计×Box-Behnken Design×
领域实验设计实验设计
方法族Process / pipelineProcess / pipeline
起源年份1951 (CCD); optimization coupling formalized 1970s–1990s1960
提出者Box & Wilson (CCD, 1951); optimization integration by Myers, Montgomery & colleaguesGeorge E. P. Box and Donald W. Behnken
类型Experimental design with mathematical optimizationResponse surface design (incomplete three-level factorial)
开创性文献Myers, R. H., Montgomery, D. C., & Anderson-Cook, C. M. (2009). Response Surface Methodology: Process and Product Optimization Using Designed Experiments (3rd ed.). Wiley. ISBN: 978-0470174463Box, 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CCD with optimization, optimized CCD, RSM-CCD optimization, central composite design with response optimizationBBD, Box-Behnken, Box-Behnken RSM design, three-level incomplete factorial design
相关33
摘要Optimization-assisted central composite design (CCD) combines the rotatable, second-order experimental layout of central composite design with mathematical optimization algorithms — typically desirability functions, response surface optimization, or metaheuristics — to find the factor settings that simultaneously maximize, minimize, or hit target values for one or more response variables. It is the most widely applied response-surface optimization workflow in chemical, pharmaceutical, food science, and manufacturing engineering.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: Optimization-assisted central composite design · Box-Behnken Design. 于 2026-06-18 检索自 https://scholargate.app/zh/compare