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Optimalisatie-ondersteund fractioneel factorieel ontwerp×Box-Behnken-ontwerp×
VakgebiedExperimenteel ontwerpExperimenteel ontwerp
FamilieProcess / pipelineProcess / pipeline
Jaar van ontstaan1960s–1980s (D-optimality: Kiefer & Wolfowitz 1959; coordinate-exchange: Meyer & Nachtsheim 1995)1960
GrondleggerA. C. Atkinson, A. N. Donev (optimality criteria); V. V. Federov (exchange algorithms)George E. P. Box and Donald W. Behnken
TypeOptimal experimental design / computer-generated DOEResponse surface design (incomplete three-level factorial)
Oorspronkelijke bronAtkinson, A. C., Donev, A. N., & Tobias, R. D. (2007). Optimum Experimental Designs, with SAS. Oxford University Press. ISBN: 978-0199296606Box, G. E. P., & Behnken, D. W. (1960). Some new three level designs for the study of quantitative variables. Technometrics, 2(4), 455–475. DOI ↗
Aliassenoptimal fractional factorial design, algorithmically optimized FFD, computer-aided fractional factorial design, D-optimal fractional factorial designBBD, Box-Behnken, Box-Behnken RSM design, three-level incomplete factorial design
Verwant43
SamenvattingOptimization-assisted fractional factorial design (OA-FFD) combines classical fractional factorial screening with algorithmic optimality criteria — such as D-, I-, or A-optimality — to construct experiment matrices that maximize statistical efficiency. Instead of relying solely on standard orthogonal-array tables, a computer algorithm selects the best subset of runs from a candidate set, enabling experimenters to handle irregular factor constraints, mixed factor types, and custom run sizes that standard tables cannot accommodate.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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