基于改进的II阶段过程监测的误差检测

IF 0.4 4区 综合性期刊 Q4 MULTIDISCIPLINARY SCIENCES
R. Jabeen, A. Zaka
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引用次数: 0

摘要

在实际生活中,任何产品或工艺的寿命试验误差的分布都不符合正态性假设。统计过程控制(SPC)被定义为使用统计技术来控制一个过程或生产方法。SPC工具和程序可以帮助监控过程行为,发现内部系统中的问题,并找到生产问题的解决方案。为了识别和消除不同可靠性过程中的变化,并监控错误数量遵循倾斜分布的机器的可靠性,我们开发了控制图来控制过程。针对这种情况,我们修改了现有的控制图,如Shewhart控制图、指数加权移动平均(EWMA)、混合指数加权移动平均(HEWMA)和扩展指数加权移动平均(EEWMA)控制图。本研究将基于经典估计量的修正控制图引入到二期监测中,假设过程中的误差遵循偏态分布,即Beta - Lehmann 2幂函数分布(BL2PFD)。这些控制图的建议是基于百分位数估计器。我们使用蒙特卡罗模拟研究和实际应用比较了所有这些控制图,以比较提出的控制图。研究表明,当过程监控误差的底层分布符合BL2PFD时,基于PE的EEWMA控制图的性能优于Shewhart、EWMA和HEWMA控制图。这些发现可以为研究人员和从业者处理生产错误和优化输出有用。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Error detection through modified phase II process monitoring under different classical estimators
In real life, the distribution of the errors during any life testing of products or process does not meet the assumption of normality. Statistical process control (SPC) is defined as the use of statistical techniques to control a process or production method. SPC tools and procedures can help to monitor process behavior, discover problems in internal systems, and find solutions for production issues. To identify and remove the variation in different reliability processes and to monitor the reliability of machines where the number of errors follows skewed distributions, we develop control charts to keep the process in control. For such situations, we have modified the existing control charts such as Shewhart control chart, exponentially weighted moving average (EWMA), hybrid exponentially weighted moving average (HEWMA) and extended exponentially weighted moving average (EEWMA) control charts. The current study introduced classical estimator based modified control charts for phase-II monitoring by assuming that the errors occur during the process follow skewed distribution called Beta Lehmann 2 Power function distribution (BL2PFD). The proposal for these control charts is based on the percentile estimator. We have compared all these control charts using Monte Carlo simulation studies and real-life applications to compare the proposed control charts. This study shows that an EEWMA control chart based on PE performs better than Shewhart, EWMA and HEWMA control charts, when the underlying distribution of the errors in process monitoring follows BL2PFD. These findings can be useful for researchers and practitioners in dealing with production errors and optimizing the output.
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来源期刊
CiteScore
0.90
自引率
0.00%
发文量
57
审稿时长
>12 weeks
期刊介绍: The Journal of National Science Foundation of Sri Lanka (JNSF) publishes the results of research in Science and Technology. The journal is released four times a year, in March, June, September and December. This journal contains Research Articles, Reviews, Research Communications and Correspondences. Manuscripts submitted to the journal are accepted on the understanding that they will be reviewed prior to acceptance and that they have not been submitted for publication elsewhere.
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