新扩展的指数加权移动平均线控制图用于监测过程平均值
Hina Javed1, Muhammad Ismail2, Nadia Saeed1
1College of Statistical Sciences, University of the Punjab, Lahore Pakistan.
Heliyon
|August 16, 2024
概括
一个新的新扩展指数加权移动平均线 (NEEWMA) 控制图有效地检测微小的过程平均线变化. 与传统的EWMA和EEWMA图表相比,这种NEEWMA图表显示出更高的性能和更低的差异.
科学领域:
- 统计过程控制 统计过程控制
- 质量管理质量管理.
- 工业工程 工业工程 工业工程
背景情况:
- 像EWMA这样的传统控制图表对于监控过程稳定性至关重要.
- 检测过程参数中的小变化对于保持产品质量至关重要.
- 现有方法对微妙的工艺变化敏感度可能有局限性.
研究的目的:
- 为了引入和评估一个新的控制图表,新扩展指数加权移动平均线 (NEEWMA) 统计.
- 评估NEEWMA图表在检测过程中微妙变化的能力.
- 将NEEWMA图表的表现与已建立的EWMA和EEWMA图表进行比较.
主要方法:
- 开发NEEWMA统计数据,并推导其平均值和差异.
- 使用平均运行长度 (ARL) 分析进行性能评估.
- 通过蒙特卡洛模拟的验证和一个实用的数据示例.
主要成果:
- NEEWMA统计数据提供了对过程平均值的公正估计,其差异比传统的EWMA图表要小.
- 与EWMA和EEWMA图表相比,NEEWMA控制图表表现出更快的检测过程平均转移.
- 模拟结果证实了NEEWMA图表的增强灵敏度和有效性.
结论:
- NEEWMA控制图是早期检测小工艺平均变化的高效工具.
- 它的改进性能在统计过程控制应用中提供了显著的优势.
- NEEWMA图表代表了质量控制和流程监控的宝贵进展.
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