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一个双重的一般加权移动平均线控制图,用于监测过程变化率
Vasileios Alevizakos1, Kashinath Chatterjee2, Christos Koukouvinos1
1Department of Mathematics, National Technical University of Athens, Zografou, Greece.
Journal of applied statistics
|July 12, 2023
概括
一个新的双重一般加权移动平均线 (DGWMA) 控制图有效监测过程变化. 这种增强的统计过程控制工具在检测变化率的小和上升变化方面表现出卓越的灵敏度.
科学领域:
- 工业工程 工业工程 工业工程
- 统计质量控制 统计质量控制
- 运营研究 运营研究
背景情况:
- 传统的控制图表难以检测微小的过程变异性转移.
- 存储器类型的控制图表提供了更好的灵敏度,但需要进一步优化.
- 精确监测工艺变化对于保持产品质量和运营效率至关重要.
研究的目的:
- 提出一种新的双重一般加权移动平均线 (DGWMA) 控制图,用于过程变化监测.
- 用蒙特卡洛模拟来评估拟议的DGWMA图的运行长度性能.
- 将DGWMA图表的效率与现有的内存类型控制图表进行比较.
主要方法:
- 开发一个双重一般加权移动平均线 (DGWMA) 控制图,使用三参数对数转换.
- 应用蒙特卡洛模拟来评估拟议的DGWMA图的运行长度性能.
- 对DGWMA图表与已建立的内存类型控制图表进行比较分析.
主要成果:
- 拟议的DGWMA图表证明了在检测过程变化中的小变化方面提高了效率.
- -DGWMA图表表现出在识别过程可变性上升转移时的敏感性增加.
- 一个实际的实施例子展示了新的DGWMA图表与现实数据的有效性.
结论:
- -DGWMA控制图为监测过程变化提供了一个统计上优越的方法.
- 这个新的图表为寻求提高过程监控能力的质量控制专业人员提供了一个有价值的工具.
- 这些发现表明DGWMA图表是统计过程控制的一个有希望的进步.
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