Process / pipelineEngineering methods
Box-Behnken Design — Three-Level Response Surface Methodology
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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Sources
- Box, G. E. P., & Behnken, D. W. (1960). Some new three level designs for the study of quantitative variables. Technometrics, 2(4), 455–475. DOI: 10.1080/00401706.1960.10489912 ↗
- 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: 978-1118916025
Related methods
Referenced by
Bayesian Box-Behnken DesignCentral Composite DesignHybrid Box-Behnken DesignHybrid Central Composite DesignHybrid Response Surface MethodologyIndustrial Applications Response Surface MethodologyMixture DesignMulti-response Design of ExperimentsMulti-response Response Surface MethodologyOptimal Experimental DesignOptimization-assisted Box-Behnken designOptimization-assisted central composite designOptimization-assisted design of experimentsOptimization-assisted fractional factorial designOptimization-assisted response surface methodologyRisk-based Box-Behnken DesignRisk-based central composite designRobust Box-Behnken DesignRobust Central Composite DesignRobust Response Surface MethodologySensitivity Analysis with Box-Behnken DesignSensitivity analysis with central composite designSensitivity analysis-integrated response surface methodologySimulation-assisted Box-Behnken designSimulation-assisted response surface methodology