قارن الطرق

	تصميم بوكس-بينكن الهجين - منهجية سطح الاستجابة المعززة	تصميم بوكس-بيهنكن
المجال	التصميم التجريبي	التصميم التجريبي
العائلة	Process / pipeline	Process / pipeline
سنة النشأة	1960 (standard BBD); hybrid variants developed from 1970s onward	1960
صاحب الطريقة	Box & Behnken (1960), extended by various authors for hybrid configurations	George E. P. Box and Donald W. Behnken
النوع	Response surface experimental design	Response surface design (incomplete three-level factorial)
المصدر التأسيسي	Box, G. E. P., & Behnken, D. W. (1960). Some new three level designs for the study of quantitative variables. Technometrics, 2(4), 455–475.	Box, G. E. P., & Behnken, D. W. (1960). Some new three level designs for the study of quantitative variables. Technometrics, 2(4), 455–475.
الأسماء البديلة	Hybrid BBD, augmented Box-Behnken design, modified Box-Behnken design, extended BBD	BBD, Box-Behnken, Box-Behnken RSM design, three-level incomplete factorial design
ذات صلة	4	3
الملخص	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.