手法を比較

	実験計画法の多応答設計	Box-Behnken Design
分野	実験計画法	実験計画法
系統	Process / pipeline	Process / pipeline
提唱年	1980 (desirability function formalization); DoE roots from Fisher, 1920s–1930s	1960
提唱者	Derringer & Suich (desirability function); Montgomery (systematic DoE integration)	George E. P. Box and Donald W. Behnken
種類	Experimental optimization methodology	Response surface design (incomplete three-level factorial)
原典	Derringer, G., & Suich, R. (1980). Simultaneous optimization of several response variables. Journal of Quality Technology, 12(4), 214–219.	Box, G. E. P., & Behnken, D. W. (1960). Some new three level designs for the study of quantitative variables. Technometrics, 2(4), 455–475.
別名	Multi-response DoE, Multiple-response optimization, Multi-objective DoE, MRDoE	BBD, Box-Behnken, Box-Behnken RSM design, three-level incomplete factorial design
関連	4	3
概要	Multi-response Design of Experiments (MRDoE) extends classical DoE to situations where several response variables must be optimized simultaneously. Rather than tuning factors for a single output, the experimenter fits separate regression or response-surface models for each response, then combines them — most often via Derringer and Suich's desirability function — into a single composite score that guides the search for factor settings satisfying all response targets 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.