考虑AEWMA对马分布数据的控制图,采用固定和可变的抽样间隔
Shin-Li Lu1, Meng-Chiao Chen2, Jen-Hsiang Chen3
1Department of Industrial and Systems Engineering, Chung Yuan Christian University, Taoyuan, Taiwan. shinlilu@cycu.edu.tw.
Scientific reports
|December 12, 2025
概括
适应性EWMA (AEWMA) 控制图改善了对偏斜数据的过程监控. 它的可变采样间隔 (VSI) 方案在检测小工艺转移方面表现出优越的灵敏度和稳定性,与其他方法相比.
科学领域:
- 工业工程 工业工程 工业工程
- 统计过程控制 统计过程控制
- 质量管理质量管理.
背景情况:
- 谢沃特控制图在检测小的过程转移方面是有限的.
- 指数加权移动平均线 (EWMA) 图表检测到微小的变化,但对突然的变化反应缓慢.
- 适应性EWMA (AEWMA) 控制图为增强监控提供动态调整.
研究的目的:
- 为了评估适应性EWMA (AEWMA) 控制图对偏斜数据,特别是马分布的性能.
- 在AEWMA框架内比较固定采样间隔 (FSI) 和可变采样间隔 (VSI) 方案的有效性.
- 评估AEWMA图表在检测小工艺转移时的灵敏度和稳定性.
主要方法:
- 应用了威尔逊-希尔弗蒂变换来对偏斜数据的正常性近似.
- 利用蒙特卡洛模拟来设计和评估AEWMA的FSI和VSI方案.
- 雇员平均时间到信号 (ATS) 作为绩效指标,与平均运行长度 (ARL) 一起.
主要成果:
- AEWMA VSI图表在检测小工艺转移时表现出更高的灵敏度和稳定性.
- AEWMA图表显示,与传统的EWMA图表相比,在偏斜数据方面表现得更好.
- 变量采样间隔方案通常优于固定采样间隔方案.
结论:
- AEWMA VSI 控制图是一个强大而敏感的工具,用于监控具有偏差数据的流程,特别是在半导体制造等行业.
- 该研究强调了在统计过程控制中的自适应和可变抽样策略的优势.
- AEWMA图表为处理非正常分布的过程数据的质量管理系统提供了宝贵的增强.
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