An Improved Poisson EWMA Control Chart for Monitoring Nonconformities Per Unit

IF 1.4 4区 综合性期刊 Q2 MULTIDISCIPLINARY SCIENCES
Waqar Hafeez, Jianguo Du, Zameer Abbas, Hafiz Zafar Nazir
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引用次数: 0

Abstract

Poisson control charts are most frequently used to track the number of nonconformities per unit in industrial processes during the inspection. As the quality characteristic under examination is based on a nominal scale rather than a quantitative or measured scale, these charting structures are known as attribute control charts. To detect small changes quickly, a Poisson extended exponentially weighted moving average (PEEWMA) control chart is developed in this study and its performance in zero-state and steady-state conditions has been examined. Run-length (RL) profiles, such as the average RL, the standard deviation of RL, and several percentile points of the RL distribution, have been evaluated using Monte Carlo simulation. The RL profiles of the proposed PEEWMA chart have been compared with existing methods. The comparison shows that the suggested PEEWMA chart outperforms its competitors. The application of the proposed design from an artificial dataset has also been included.

一种改进的泊松EWMA控制图,用于监控不合格件
泊松控制图最常用于跟踪检验过程中每单位不合格品的数量。由于所检查的质量特征是基于标称尺度而不是定量或测量尺度,因此这些图表结构被称为属性控制图。为了快速检测微小的变化,本文建立了一种泊松扩展指数加权移动平均(PEEWMA)控制图,并对其在零状态和稳态条件下的性能进行了检验。运行长度(RL)概况,如平均RL, RL的标准偏差,以及RL分布的几个百分位数,已经使用蒙特卡罗模拟进行了评估。将所提出的PEEWMA图的RL剖面与现有方法进行了比较。比较表明,建议的PEEWMA图优于其竞争对手。本文还介绍了基于人工数据集的设计的应用。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
CiteScore
4.00
自引率
5.90%
发文量
122
审稿时长
>12 weeks
期刊介绍: The aim of this journal is to foster the growth of scientific research among Iranian scientists and to provide a medium which brings the fruits of their research to the attention of the world’s scientific community. The journal publishes original research findings – which may be theoretical, experimental or both - reviews, techniques, and comments spanning all subjects in the field of basic sciences, including Physics, Chemistry, Mathematics, Statistics, Biology and Earth Sciences
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