适应式多变量分散控制图,适用于双金属恒温器数据
Muhammad Noor-Ul-Amin1, Muhammad Atif Sarwar1, Walid Emam2
1COMSATS University Islamabad-Lahore Campus, Lahore, Pakistan.
Scientific reports
|October 24, 2023
概括
一个新的自适应EWMA (AEWMA) 控制图有效监测过程中的方差-共方差矩阵稳定性. 与现有图表相比,这种方法可以更快地检测流程转移,从而增强统计过程控制.
科学领域:
- 统计过程控制 统计过程控制
- 工业工程 工业工程 工业工程
- 质量管理质量管理.
背景情况:
- 适应性EWMA (AEWMA) 控制图被认为是用于监控不同班次的生产.
- 他们的熟练程度源于调整计算统计数据以适应系统转变.
- 监测差异-共变矩阵对于过程稳定性至关重要.
研究的目的:
- 建议基于函数的AEWMA多变量控制图用于监测差异-共变量矩阵稳定性.
- 通过连续函数实时估计过程转移,并调整光滑常数.
- 根据现有方法对拟议图表的性能进行评估.
主要方法:
- 使用带有EWMA统计数据的公正估计器进行实时轮班估计.
- 开发一个连续的功能,以适应平滑/加重常数.
- 使用蒙特卡洛模拟来评估图表的移位检测能力.
- 与现有的EWMA和AEWMA图表进行比较.
主要成果:
- 拟议的AEWMA图表在检测工艺转移方面表现出卓越的性能.
- 与现有的图表相比,它在各种转班大小中提供了更快的检测.
- 该图表有效地监测了差异-共差矩阵的稳定性.
结论:
- 基于函数的AEWMA多变量控制图是监测共变量矩阵变化的有效工具.
- 它为像双金属恒温器制造业这样的行业的统计过程控制提供了实际优势.
- 该研究为增强实时流程监控和质量保证提供了有价值的方法.
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