مقایسهٔ روش‌ها

	روش سطح پاسخ چندمتغیره	روش سطح پاسخ به کمک بهینه‌سازی
حوزه	طراحی آزمایش	طراحی آزمایش
خانواده	Process / pipeline	Process / pipeline
سال پیدایش	1980 (Derringer & Suich desirability function); RSM roots ~1951 (Box & Wilson)	1951 (RSM); 1980 (desirability-function optimization formalized)
پدیدآور	Derringer & Suich (desirability function approach); Myers & Montgomery (RSM framework)	Derringer & Suich (desirability function); Box & Wilson (RSM foundation)
نوع	Experimental optimization technique	Hybrid experimental-optimization framework
منبع بنیادین	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.
نام‌های دیگر	Multi-response RSM, MRSM, Multi-objective RSM, Multiple response optimization	OA-RSM, RSM with optimization, desirability-based RSM, multi-response RSM optimization
مرتبط	6	5
خلاصه	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.	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.