方法对比

	优化辅助响应面方法	多响应响应面法
领域	实验设计	实验设计
方法族	Process / pipeline	Process / pipeline
起源年份	1951 (RSM); 1980 (desirability-function optimization formalized)	1980 (Derringer & Suich desirability function); RSM roots ~1951 (Box & Wilson)
提出者	Derringer & Suich (desirability function); Box & Wilson (RSM foundation)	Derringer & Suich (desirability function approach); Myers & Montgomery (RSM framework)
类型	Hybrid experimental-optimization framework	Experimental optimization technique
开创性文献	Derringer, G., & Suich, R. (1980). Simultaneous optimization of several response variables. Journal of Quality Technology, 12(4), 214–219.	Derringer, G., & Suich, R. (1980). Simultaneous optimization of several response variables. Journal of Quality Technology, 12(4), 214–219.
别名	OA-RSM, RSM with optimization, desirability-based RSM, multi-response RSM optimization	Multi-response RSM, MRSM, Multi-objective RSM, Multiple response optimization
相关	5	6
摘要	Optimization-assisted RSM couples a second-order response surface model with a mathematical optimization routine — most commonly Derringer and Suich's desirability function, but also genetic algorithms or gradient-based solvers — to locate the factor settings that simultaneously satisfy multiple quality or performance objectives. The result is a data-driven recommendation for optimal process or product conditions, supported by a polynomial model fitted to a structured experimental design.	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.