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使用Max-EWMA控制图在lognormal过程下共同监测平均值和方差,并应用于发动机油数据
Fatimah A Almulhim1, Seher Malik2, Muhammad Hanif2
1Department of Mathematical Sciences, College of Science, Princess Nourah Bint Abdulrahman University, P.O. Box 84428, 11671, Riyadh, Saudi Arabia.
Scientific reports
|June 14, 2024
概括
本研究引入了一种新的控制图表,用于监测具有逻辑正常分布的过程,改进了标准方法. 拟议的图表有效地追踪了偏斜数据的平均值和差异.
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:
- 传统的控制图假定正常分布,在现实世界过程中经常被违反.
- 积极倾斜的分布,像lognormal分布一样,在制造业和服务业中很常见.
- 现有的方法可能不足以监测有偏差数据的过程.
研究的目的:
- 提出一种新的控制图表,用于在逻辑正常过程中共同监测平均值和方差.
- 在不符合正常性假设的情况下开发统计过程控制 (SPC) 的有效工具.
- 为了提高对偏斜数据的过程监控准确性.
主要方法:
- 最大指数加权移动平均线 (MEWMA) 控制图的开发.
- 使用运行长度配置文件进行评估,包括平均运行长度 (ARL) 和运行长度标准偏差 (SDRL).
- 用R语言进行的蒙特卡洛模拟用于性能评估.
主要成果:
- 拟议的MEWMA控制图表证明了在逻辑正常分布下监测平均值和方差的有效性.
- 运行长度配置分析表明,与偏斜数据的标准方法相比,性能优越.
- 图表提供了一个实用的工具,用于检测日志正常过程中的变化.
结论:
- 开发的MEWMA控制图是对逻辑正常分布的统计过程控制的一个有价值的补充.
- 它在监控扭曲的过程中提供了更好的灵敏度和可靠性.
- 该研究为实施拟议的控制图提供了一个实际应用示例.
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