Methoden vergleichen
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| Optimierungsgestützte Box-Behnken-Versuchsplanung× | Optimierungsgestützte Response Surface Methodology× | |
|---|---|---|
| Fachgebiet | Versuchsplanung | Versuchsplanung |
| Familie | Process / pipeline | Process / pipeline |
| Entstehungsjahr≠ | 1960 (BBD); optimization integration established 1980s–1990s | 1951 (RSM); 1980 (desirability-function optimization formalized) |
| Urheber≠ | Box & Behnken (design); Derringer & Suich (desirability optimization) | Derringer & Suich (desirability function); Box & Wilson (RSM foundation) |
| Typ≠ | Experimental design with post-modeling optimization | Hybrid experimental-optimization framework |
| Wegweisende Quelle≠ | 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 ↗ | Derringer, G., & Suich, R. (1980). Simultaneous optimization of several response variables. Journal of Quality Technology, 12(4), 214–219. DOI ↗ |
| Aliasnamen | BBD with optimization, Box-Behnken design optimization, RSM-BBD optimization, Box-Behnken response optimization | OA-RSM, RSM with optimization, desirability-based RSM, multi-response RSM optimization |
| Verwandt | 5 | 5 |
| Zusammenfassung≠ | 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. | Optimization-assisted RSM couples a second-order response surface model with a mathematical optimization routine — most commonly Derringer and Suich's desirability function, but also genetic algorithms or gradient-based solvers — to locate the factor settings that simultaneously satisfy multiple quality or performance objectives. The result is a data-driven recommendation for optimal process or product conditions, supported by a polynomial model fitted to a structured experimental design. |
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