Design of Improved EWMA Control Chart for Monitoring the Process Mean Using New Median Quartile Double Ranked Set Sampling

Wasif Yasin, M. Tayyab, M. Hanif
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引用次数: 1

Abstract

It is essential to monitor the mean of a process regarding quality characteristics for the ongoing production. For enhancement of mean monitoring power of the exponentially weighted moving average (EWMA) chart, a new median quartile double ranked set sampling (MQDRSS) based EWMA control chart is proposed and named as EWMA-MQDRSS chart. In order to study the performance of the developed EWMA-MQDRSS chart, performance measures; average run length, and the standard deviation of run length are used. The shift detection ability of the proposed chart has been compared with counterparts, under the simple random sampling and ranking based sampling techniques. The extensive simulation-based results indicate that the EWMA-MQDRSS chart performs better to trace all kinds of shifts than the existing charts. An illustrative application concerning monitoring the diameter of the piston ring of a machine is also provided to demonstrate the practical utilization of the suggested chart.
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改进EWMA控制图的设计——用新的中值四分位数双秩集抽样监测过程平均值
对正在进行的生产的质量特征过程的平均值进行监控是至关重要的。为了增强指数加权移动平均(EWMA)图的平均监测能力,提出了一种新的基于中位数四分位数双排序集抽样(MQDRSS)的EWMA控制图,并命名为EWMA-MQDRSS图。为了研究EWMA-MQDRSS图表的性能,制定了性能指标;使用平均行程长度和行程长度的标准偏差。在简单的随机抽样和基于排序的抽样技术下,将所提出的图表的偏移检测能力与同行进行了比较。基于大量模拟的结果表明,EWMA-MQDRSS图表在跟踪各种变化方面比现有图表表现得更好。还提供了一个关于监测机器活塞环直径的说明性应用,以证明所建议的图表的实际应用。
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