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| Sensitivitätsanalyse-integrierte Response Surface Methodology× | Box-Behnken-Design× | |
|---|---|---|
| Fachgebiet | Versuchsplanung | Versuchsplanung |
| Familie | Process / pipeline | Process / pipeline |
| Entstehungsjahr≠ | 1990s–2000s (integration practice) | 1960 |
| Urheber≠ | Box & Wilson (RSM, 1951); Saltelli et al. (global SA framework, 1990s–2000s) | George E. P. Box and Donald W. Behnken |
| Typ≠ | Hybrid experimental-analytical method | Response surface design (incomplete three-level factorial) |
| Wegweisende Quelle≠ | 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: 978-1118916018 | 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 ↗ |
| Aliasnamen | SA-RSM, RSM with sensitivity analysis, sensitivity-augmented RSM, response surface methodology with factor screening | BBD, Box-Behnken, Box-Behnken RSM design, three-level incomplete factorial design |
| Verwandt≠ | 5 | 3 |
| Zusammenfassung≠ | Sensitivity analysis-integrated RSM couples a structured experimental design with a formal sensitivity analysis of the fitted response surface model. After estimating a polynomial surrogate from designed experiments, global or local sensitivity indices are computed to quantify each input factor's relative contribution to output variability. This allows practitioners to identify which factors truly drive the response before committing to full optimization, reducing cost and improving the reliability of the final optimum. | 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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