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| ハイブリッドボックス・ベンケン計画(Hybrid Box-Behnken Design, Hybrid BBD)× | Box-Behnken Design× | |
|---|---|---|
| 分野 | 実験計画法 | 実験計画法 |
| 系統 | Process / pipeline | Process / pipeline |
| 提唱年≠ | 1960 (standard BBD); hybrid variants developed from 1970s onward | 1960 |
| 提唱者≠ | Box & Behnken (1960), extended by various authors for hybrid configurations | George E. P. Box and Donald W. Behnken |
| 種類≠ | Response surface experimental design | Response surface design (incomplete three-level factorial) |
| 原典 | 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 ↗ | 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 | Hybrid BBD, augmented Box-Behnken design, modified Box-Behnken design, extended BBD | BBD, Box-Behnken, Box-Behnken RSM design, three-level incomplete factorial design |
| 関連≠ | 4 | 3 |
| 概要≠ | The Hybrid Box-Behnken Design (Hybrid BBD) is a three-level response surface design that extends the classical Box-Behnken Design by incorporating additional design points — such as axial, face-centered, or space-filling runs — to improve estimation efficiency, handle larger factor sets, or achieve better predictive coverage. It retains BBD's avoidance of extreme corner runs while gaining the flexibility needed for complex engineering optimization problems. | 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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