方法对比
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| 多响应响应面法× | 优化辅助响应面方法× | |
|---|---|---|
| 领域 | 实验设计 | 实验设计 |
| 方法族 | Process / pipeline | Process / pipeline |
| 起源年份≠ | 1980 (Derringer & Suich desirability function); RSM roots ~1951 (Box & Wilson) | 1951 (RSM); 1980 (desirability-function optimization formalized) |
| 提出者≠ | Derringer & Suich (desirability function approach); Myers & Montgomery (RSM framework) | Derringer & Suich (desirability function); Box & Wilson (RSM foundation) |
| 类型≠ | Experimental optimization technique | Hybrid experimental-optimization framework |
| 开创性文献 | Derringer, G., & Suich, R. (1980). Simultaneous optimization of several response variables. Journal of Quality Technology, 12(4), 214–219. DOI ↗ | Derringer, G., & Suich, R. (1980). Simultaneous optimization of several response variables. Journal of Quality Technology, 12(4), 214–219. DOI ↗ |
| 别名 | Multi-response RSM, MRSM, Multi-objective RSM, Multiple response optimization | OA-RSM, RSM with optimization, desirability-based RSM, multi-response RSM optimization |
| 相关≠ | 6 | 5 |
| 摘要≠ | 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. |
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