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बहु-प्रतिक्रिया प्रतिक्रिया सतह पद्धति×बॉक्स-बेहंकेन डिज़ाइन×
क्षेत्रप्रयोगात्मक अभिकल्पप्रयोगात्मक अभिकल्प
परिवारProcess / pipelineProcess / pipeline
उद्भव वर्ष1980 (Derringer & Suich desirability function); RSM roots ~1951 (Box & Wilson)1960
प्रवर्तकDerringer & Suich (desirability function approach); Myers & Montgomery (RSM framework)George E. P. Box and Donald W. Behnken
प्रकारExperimental optimization techniqueResponse surface design (incomplete three-level factorial)
मौलिक स्रोतDerringer, 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 ↗
उपनामMulti-response RSM, MRSM, Multi-objective RSM, Multiple response optimizationBBD, Box-Behnken, Box-Behnken RSM design, three-level incomplete factorial design
संबंधित63
सारांशMulti-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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