一个分割的加权移动平均线控制图
Raja Fawad Zafar1,2, Michael B C Khoo1, Huay Woon You3
1School of Mathematical Sciences, Universiti Sains Malaysia, Minden, Malaysia.
Journal of applied statistics
|February 14, 2025
概括
新的分区加权移动平均 (PWMA) 图表在检测工艺转移方面比EWMA和HWMA图表提供了更高的性能. 它的有效性随着分区时间的增加而增加,在统计过程控制中表现出强度.
科学领域:
- 统计过程控制 统计过程控制
- 质量工程 质量工程
- 工业统计 工业统计 工业统计
背景情况:
- 传统的控制图像,如EWMA和HWMA在检测微妙的过程变化方面存在局限性.
- 有效的统计过程控制需要对小转变敏感,对参数估计强大的方法.
研究的目的:
- 引入和评估新型分区加权移动平均线 (PWMA) 控制图的性能.
- 将PWMA图与EWMA和HWMA图在各种条件下进行比较,包括不同的转移大小和光滑常数.
主要方法:
- 通过将样本分成两组并计算加权平均值,开发PWMA图表.
- 使用模拟或理论评估对零和稳定状态条件进行PWMA,EWMA和HWMA图的比较分析.
- 基于对不同参数 (n, λ, δ, j) 的移位检测能力评估图表性能.
主要成果:
- 一般来说,PWMA图表的性能优于EWMA和HWMA图表,特别是在检测小工艺转移 (δ) 时.
- 随着分区时间段 (j) 的增加,PWMA图的优越性会增加.
- PWMA图表显示了对非正常性和估计过程参数的稳定性,提高了其实际适用性.
结论:
- 与EWMA和HWMA图表相比,PWMA图表是统计过程控制的更有效的工具.
- 它的设计可以更好地控制重量分布,从而提高了检测过程干扰的灵敏度.
- PWMA图表的稳定性使其成为现实世界质量管理系统的有价值的替代方案.
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