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在工业工程应用的排序集采样方案下,贝叶斯式EWMA控制图的性能与测量误差在工业工程中的应用
Yuzhen Wang1, Imad Khan2, Muhammad Noor-Ul-Amin3
1School of Science, Xi'an Technological University, Xi'an, 710032, China.
Scientific reports
|August 28, 2023
概括
测量误差显著影响贝叶斯式EWMA控制图,特别是排序集采样 (RSS). 中位数RSS方案在减轻这些影响方面表现出卓越的表现,提高了质量控制的准确性.
科学领域:
- 统计过程控制 统计过程控制
- 质量工程 质量工程
- 测量错误分析 测量错误分析
背景情况:
- 传统的控制图假定没有错误的数据,这往往是不现实的.
- 测量误差 (ME) 可以扭曲统计过程控制方法的性能.
- 贝叶斯指数加权移动平均线 (EWMA) 图表为质量监测提供了一个灵活的框架.
研究的目的:
- 在测量误差下评估贝叶斯式EWMA控制图表的性能.
- 调查不同排序集采样 (RSS) 设计和损失函数对ME图表表表现的影响.
- 评估结合协变模型,多种测量方法和结合先验来处理ME的有效性.
主要方法:
- 开发一个贝叶斯式EWMA控制图模型,以计算测量误差.
- 整合排序集采样 (RSS) 设计 (例如,中位数RSS) 和各种损失函数.
- 使用蒙特卡洛模拟和现实数据进行性能评估,分析平均运行长度 (ARL) 和运行长度的标准偏差等指标.
主要成果:
- 测量错误显著降低了贝叶斯式EWMA控制图的性能,特别是在使用RSS方案时.
- 与其他RSS设计相比,中位数RSS方案在ME的存在下表现出优异的性能.
- 在分析中,用于计算ME的拟议方法 (共变模型,多重方法,合先行) 是有效的.
结论:
- 测量错误是一个关键因素,必须在使用RSS实现贝叶斯式EWMA控制图时加以解决.
- 中位数RSS设计提供了一个强大的方法来提高控制图表的性能,尽管有测量错误.
- 这项研究为提高在数据不完善的情况下质量控制系统可靠性提供了有价值的见解.
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