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| 最適化支援Box-Behnken計画× | 応答曲面法 (RSM)× | |
|---|---|---|
| 分野 | 実験計画法 | 実験計画法 |
| 系統≠ | Process / pipeline | Hypothesis test |
| 提唱年≠ | 1960 (BBD); optimization integration established 1980s–1990s | 1951 |
| 提唱者≠ | Box & Behnken (design); Derringer & Suich (desirability optimization) | George E. P. Box & K. B. Wilson |
| 種類≠ | Experimental design with post-modeling optimization | Second-order polynomial response surface model |
| 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. & Wilson, K. B. (1951). On the experimental attainment of optimum conditions. Journal of the Royal Statistical Society, Series B, 13(1), 1–45. link ↗ |
| 別名≠ | BBD with optimization, Box-Behnken design optimization, RSM-BBD optimization, Box-Behnken response optimization | RSM, Central Composite Design, Box-Behnken Design, CCD |
| 関連≠ | 5 | 7 |
| 概要≠ | Optimization-assisted Box-Behnken design (BBD) combines the Box-Behnken three-level experimental design with a formal optimization step to locate factor settings that maximize, minimize, or hit a target for one or more responses. BBD fits a second-order response surface model using fewer runs than a full factorial, and the optimization stage — typically via desirability functions or numerical search — then exploits that fitted model to identify the true optimum within the experimental region. | Response Surface Methodology is a collection of statistical and mathematical techniques for building an empirical second-order polynomial model that relates a continuous response variable to two or more controllable input factors, and then locating the factor settings that optimize that response. The approach was introduced by George E. P. Box and K. B. Wilson in their landmark 1951 paper and has since become a cornerstone of process optimization across engineering, chemistry, food science, and pharmaceutics. |
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