一种适应贝叶斯式方法,用于在联合监测平均值和方差时提高灵敏度,使用Max-EWMA控制图表
Abdullah A Zaagan1, Muhammad Noor-Ul-Amin2, Imad Khan3
1Department of Mathematics, Faculty of Science, Jazan University, P.O. Box 2097, Jazan, 45142, Kingdom of Saudi Arabia.
Scientific reports
|April 30, 2024
概括
本研究引入了适应贝叶斯马克斯-EWMA控制图,用于增强过程监控. 适应性方法提高了检测过程平均值和方程差异变化的灵敏度.
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:
- 传统的控制图表往往难以同时有效地监测过程平均值和方差.
- 现有的贝叶斯式EWMA图表可能缺乏适应变化的过程动态的适应性.
- 准确检测工艺转移对于保持产品质量和制造效率至关重要.
研究的目的:
- 开发和评估一个适应贝叶斯最大指数加权移动平均线 (Max-EWMA) 控制图.
- 提高控制图的灵敏度和有效性,以检测工艺平均值和方差的变化.
- 为制造过程中的质量控制提供一个强大的统计工具.
主要方法:
- 在贝叶斯马克斯-EWMA框架中实现基于函数的自调重量的自适应方法.
- 利用各种贝叶斯损失函数在正常分布的过程中共同监测平均值和方差.
- 采用蒙特卡洛模拟来生成运行长度配置文件用于性能评估.
主要成果:
- 拟议的适应贝叶斯马克斯-EWMA图表表现出与现有图表相比的优越性能.
- 适应机制显著提高了图表对检测平均值和分散变化的灵敏度.
- 经验结果证实了图表在识别半导体制造中的失控信号方面的有效性.
结论:
- 适应贝叶斯马克斯-EWMA控制图为联合监测过程平均值和方程提供了强大而有效的解决方案.
- 它的适应性和贝叶斯基础提供了增强的过程控制能力.
- 该图表是提高工业环境质量和效率的宝贵工具,正如半导体制造业的一个例子所示.
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