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| 頑健応答曲面法× | Box-Behnken Design× | |
|---|---|---|
| 分野 | 実験計画法 | 実験計画法 |
| 系統 | Process / pipeline | Process / pipeline |
| 提唱年≠ | 1990 | 1960 |
| 提唱者≠ | G. G. Vining and Raymond H. Myers (dual response formulation) | George E. P. Box and Donald W. Behnken |
| 種類≠ | Experimental optimization technique | Response surface design (incomplete three-level factorial) |
| 原典≠ | Vining, G. G., & Myers, R. H. (1990). Combining Taguchi and response surface philosophies: A dual response approach. Journal of Quality Technology, 22(1), 38–45. DOI ↗ | 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 ↗ |
| 別名 | Robust RSM, dual response surface methodology, robust parameter design via RSM, mean-variance RSM | BBD, Box-Behnken, Box-Behnken RSM design, three-level incomplete factorial design |
| 関連 | 3 | 3 |
| 概要≠ | Robust Response Surface Methodology (Robust RSM) is an experimental optimization strategy that simultaneously fits two regression models — one for the mean response and one for its variance (or standard deviation) — across a designed experiment. By jointly optimizing these dual surfaces, engineers identify factor settings that hit a performance target while minimizing process variability, combining the empirical model-building power of classical RSM with the variance-reduction goals of robust parameter design. | 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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