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| Μεθοδολογία Επιφανειών Απόκρισης Πολλαπλών Αποκρίσεων× | Σχεδιασμός Box-Behnken× | |
|---|---|---|
| Πεδίο | Πειραματικός Σχεδιασμός | Πειραματικός Σχεδιασμός |
| Οικογένεια | Process / pipeline | Process / pipeline |
| Έτος προέλευσης≠ | 1980 (Derringer & Suich desirability function); RSM roots ~1951 (Box & Wilson) | 1960 |
| Δημιουργός≠ | Derringer & Suich (desirability function approach); Myers & Montgomery (RSM framework) | George E. P. Box and Donald W. Behnken |
| Τύπος≠ | Experimental optimization technique | Response surface design (incomplete three-level factorial) |
| Θεμελιώδης πηγή≠ | Derringer, G., & Suich, R. (1980). Simultaneous optimization of several response variables. Journal of Quality Technology, 12(4), 214–219. 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 ↗ |
| Εναλλακτικές ονομασίες | Multi-response RSM, MRSM, Multi-objective RSM, Multiple response optimization | BBD, Box-Behnken, Box-Behnken RSM design, three-level incomplete factorial design |
| Συναφείς≠ | 6 | 3 |
| Σύνοψη≠ | Multi-response Response Surface Methodology (MRSM) extends classical RSM to situations where an experiment generates two or more response variables that must be optimized simultaneously. Rather than tuning factor settings for a single output, MRSM fits a separate second-order polynomial model for each response, then combines them — most commonly via Derringer and Suich's desirability function — to find factor settings that satisfy all objectives at once. | 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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