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Многомерная контрольная карта×Multi-response Response Surface Methodology×
ОбластьПланирование экспериментаПланирование эксперимента
СемействоProcess / pipelineProcess / pipeline
Год появления1947 (Hotelling T²); 1980s–1990s (MEWMA, MCUSUM extensions)1980 (Derringer & Suich desirability function); RSM roots ~1951 (Box & Wilson)
Автор методаHarold Hotelling (multivariate foundation); extended by Lowry, Woodall, and othersDerringer & Suich (desirability function approach); Myers & Montgomery (RSM framework)
ТипMultivariate statistical process monitoringExperimental optimization technique
Основополагающий источникHotelling, H. (1947). Multivariate quality control illustrated by the air testing of sample bombsights. In C. Eisenhart, M. W. Hastay, & W. A. Wallis (Eds.), Techniques of Statistical Analysis (pp. 111–184). McGraw-Hill. link ↗Derringer, G., & Suich, R. (1980). Simultaneous optimization of several response variables. Journal of Quality Technology, 12(4), 214–219. DOI ↗
Другие названияmultivariate control chart, multi-response SPC, MRCC, multiple-response monitoring chartMulti-response RSM, MRSM, Multi-objective RSM, Multiple response optimization
Связанные66
СводкаA multi-response control chart simultaneously monitors two or more correlated quality characteristics on a single chart, preserving the correlation structure that univariate charts ignore. Built on Hotelling's T² statistic and its time-weighted extensions (MEWMA, MCUSUM), it detects process shifts that would be missed if each response were charted independently. It is the standard tool in manufacturing and service quality when product performance depends on multiple interrelated outputs.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.
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ScholarGateСравнение методов: Multi-response Control Chart · Multi-response Response Surface Methodology. Получено 2026-06-15 из https://scholargate.app/ru/compare