使用贝叶斯式EWMA控制图在排列式采样设计下监控制造过程
Imad Khan1, Muhammad Noor-Ul-Amin2, Dost Muhammad Khan1
1Department of Statistics, Abdul Wali Khan University Mardan, Mardan, Pakistan.
Scientific reports
|October 25, 2023
概括
本研究引入了贝叶斯式EWMA控制图,使用排序集采样 (RSS) 来更好地检测工艺转移. 新图表显示了在识别偏差方面更高的灵敏度,提高了制造业的质量控制.
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:
- 指数移动平均 (EWMA) 控制图对于检测过程转移至关重要.
- 在数据收集中,排序集采样 (RSS) 与简单随机采样 (SRS) 相比,具有潜在的优势.
- 贝叶斯方法为将先前信息纳入控制图表提供了一个框架.
研究的目的:
- 引入一个新的贝叶斯式EWMA控制图,使用排序集采样 (RSS).
- 使用方位错误损失函数 (SELF) 和线性损失函数 (LLF) 评估拟议图表的性能.
- 为了比较基于RSS的贝叶斯式EWMA图表与其SRS对应的有效性.
主要方法:
- 开发一个包含RSS的贝叶斯式EWMA控制图.
- 平方误差损失函数 (SELF) 和Linex损失函数 (LLF) 对后面分布的应用.
- 使用平均运行长度 (ARL) 和运行长度标准偏差 (SDRL) 的指标进行性能评估.
- 基于简单随机抽样 (SRS) 的贝叶斯式EWMA图的比较分析.
主要成果:
- 建议的贝叶斯式EWMA控制图与RSS有效地检测到小到中等的变化.
- 图表显示了在识别与正常过程行为的偏差时的增强灵敏度.
- 性能指标 (ARL,SDRL) 表明与基于SRS的图表相比,其检测能力优越.
结论:
- 贝叶斯式EWMA控制图与RSS相结合,为流程监控提供了更敏感的工具.
- 这种方法在检测偏差方面提供了显著的改进,这对于半导体制造等行业的质量控制至关重要.
- 这些发现支持在贝叶斯控制图表中采用RSS,以加强统计过程控制.
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