有效的基于签名级别的EWMA和HWMA重复控制图表用于监控过程中,有或没有辅助信息
Ambreen Shafqat1,2, Huang Zhensheng3, Muhammad Aslam4
1Department of Financial Mathematics and Statistics, Nanjing University of Science and Technology, Nanjing, 210094, China.
Scientific reports
|September 30, 2023
概括
本研究引入了新的无分布控制图,EWMA-SR和HWMA-SR,用于监测未知数据分布的制造过程. 这些图表利用重复采样和辅助变量,有效地检测小的过程转移.
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
- 非参数统计的统计.
背景情况:
- 制造工艺往往产生非正常或未知分布的数据,限制了传统控制图的适用性.
- 在底层数据分布不确定时,无分布的控制图对于有效的流程监控至关重要.
- 有效的抽样计划对于在这种情况下提高质量控制方法的敏感性至关重要.
研究的目的:
- 提出新的非参数控制图表,特别是指数加权移动平均线签名等级 (EWMA-SR) 和同质加权移动平均线签名等级 (HWMA-SR) 图表.
- 整合一个辅助变量 (回归估计器) 和一个重复采样计划,以改进检测小工艺转移.
- 通过使用标准运行长度属性,对拟议图表与现有方法的性能进行评估.
主要方法:
- 基于签名级统计数据的EWMA-SR和HWMA-SR控制图的开发.
- 实施数据收集的重复采样计划.
- 使用回归估计器作为辅助变量来增强图表灵敏度.
- 使用对称分布的平均运行长度 (ARL),中位数运行长度 (MRL) 和运行长度标准偏差 (SDRL) 进行性能评估.
主要成果:
- 拟议的EWMA-SR和HWMA-SR图表在检测小工艺转移方面表现出优异的性能,与现有的无分布式方法相比.
- 辅助变量和重复采样计划的整合显著提高了控制图的灵敏度.
- 这些图表在各种对称分布中保持有效性,证实了它们的稳定性.
结论:
- 拟议的EWMA-SR和HWMA-SR控制图为非正常或未知分布的统计过程控制提供了强大而敏感的方法.
- 使用辅助信息和重复采样是提高质量监测系统效率的有价值策略.
- 这些非参数图为寻求可靠工艺控制方法的行业提供了实际解决方案.
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