半导体制造工艺的监测贝叶斯AEWMA控制图在配对排序集采样方案下
Yuzhen Wang1, Imad Khan2, Muhammad Noor-Ul-Amin3
1School of Science, Xi'an Technological University, Xi'an, 710032, China.
Scientific reports
|December 20, 2023
概括
一个新的贝叶斯适应性EWMA (AEWMA) 控制图改善了过程监控. 这种先进的质量控制方法,使用配对排序集采样,有效地检测工艺手段的变化.
科学领域:
- 统计过程控制 统计过程控制
- 质量管理系统 质量管理系统
背景情况:
- 传统的内存类型控制图像,如EWMA和Shewhart图表,用于检测过程位置参数转移.
- 现有的方法可能在有效地识别小到中等转移方面存在局限性.
研究的目的:
- 引入一个新的贝叶斯适应性EWMA (AEWMA) 控制图.
- 提高检测过程中小,中等和重大变化的方法.
- 评估AEWMA图表的性能,使用各种损失函数和抽样方案.
主要方法:
- 开发一个贝叶斯式AEWMA控制图,使用方位错误损失函数 (SELF) 和线性损失函数 (LLF).
- 用信息先验实现后置和后置预测分布.
- 应用各种配对排序集采样 (PRSS) 方案,并与简单随机抽样 (SRS) 进行比较.
- 使用平均运行长度 (ARL) 和运行长度标准偏差 (SDRL) 通过蒙特卡洛模拟进行性能评估.
主要成果:
- 与现有图表相比,拟议的贝叶斯AEWMA图表在检测过程平均值转移方面表现出卓越的性能.
- PRSS设计显著提高了图表识别失控信号的能力.
- 在半导体制造中的实际应用证实了该图表的有效性.
结论:
- 新的贝叶斯式AEWMA控制图在工艺平均转移检测中提供了更高的精度和效率.
- 多种损失功能和PRSS设计的整合代表了质量控制的重大进步.
- 这种技术有助于更强大的流程监控和质量管理.
相关概念视频
Introduction to Statistical Process Control
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Statistical Process Control (SPC) is a method used to monitor and control quality within processes, particularly in manufacturing and service delivery, by employing statistical methods. SPC aims to distinguish between natural (common cause) variation and variation due to specific changes or events (special cause), allowing for timely improvements and sustained quality. The control chart, a pivotal tool in SPC, visually displays data over time alongside a central line of upper and lower control...
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The R Chart
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In statistical process control, control charts, particularly R charts, are instrumental in monitoring process variations and identifying non-random patterns that run charts might miss. R charts track the variability within process subgroups, which is crucial when standard deviation use is impractical or unknown process variations exist.
R charts are pivotal for pinpointing shifts in process variability. Stability is indicated when all data points remain within the defined upper and lower...
R charts are pivotal for pinpointing shifts in process variability. Stability is indicated when all data points remain within the defined upper and lower...
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The X̄ Chart
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The x̄ chart is a statistical tool for monitoring the means in a process.
The x̄ chart, often known as the individual control chart, is a crucial tool in statistical process control. It is designed to monitor process behavior and performance over time and is widely used in various industries to ensure that processes are operating at their optimum capacity and within specified limits.
A x̄ chart is constructed by plotting individual measurements of a quality...
The x̄ chart, often known as the individual control chart, is a crucial tool in statistical process control. It is designed to monitor process behavior and performance over time and is widely used in various industries to ensure that processes are operating at their optimum capacity and within specified limits.
A x̄ chart is constructed by plotting individual measurements of a quality...
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Interpreting X̄ Charts
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Interpreting x̄ charts, a type of control chart used in statistical process control helps monitor the variation in processes over time. The x̄ chart is based on the sample mean and allows for monitoring variations in the process mean over time. These charts are pivotal for quality assurance in manufacturing and other sectors.
An x̄ chart plots the values of individual measurements over time against control limits calculated from historical data. The central line...
An x̄ chart plots the values of individual measurements over time against control limits calculated from historical data. The central line...
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Run Charts
61
Run charts serve as an essential instrument for visualizing the performance of various processes over time, enabling the identification of trends and patterns crucial for quality improvement. These charts map out a series of data points chronologically, offering insights into the stability and efficiency of a process. A run chart's creation involves plotting data points on a graph, with the time intervals on the horizontal axis and the specific measurements on the vertical axis. For...
61
Interpreting R Charts
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R chart, or range chart, is a fundamental tool in statistical process control used to monitor the variability within a process. It complements the X-bar (x̄) chart by focusing on the range of the data, rather than individual values, providing a clear picture of the process dispersion over time.
An R chart plots the range of subsets of measurements collected from a process. Each point on the chart represents the range—defined as the difference between the maximum and minimum...
An R chart plots the range of subsets of measurements collected from a process. Each point on the chart represents the range—defined as the difference between the maximum and minimum...
67


