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Designing of control chart of extended EWMA statistic using repetitive sampling scheme
Ain Shams Engineering Journal ( IF 6 ) Pub Date : 2020-10-24 , DOI: 10.1016/j.asej.2020.09.004
Muhammad Naveed , Muhammad Azam , Nasrullah Khan , Muhammad Aslam , Mohammed Albassam

In this paper, we propose extended exponential weighted moving average (EEWMA) control chart (CC) for the surveillance the process mean using repetitive sampling scheme under the assumption that quality characteristic of a product is a quantitative variable following the normal distribution. Two control limits named as inner and outer control limits of the proposed CC are derived using the in-control process mean and variance. The necessary measures are derived to obtain the process in-control and out-of-control average run length (ARL) and tabulated for different process shifts and smoothing constants. Comparisons are made to check the capability of intended CC with the EEWMA CC and repetitive EWMA CC in term of ARL. It has been observed that the presented CC shows better results in term of early detection of divergence in process mean. A simulation study is carried out to illustrate the performance of the proposed CC. An industrial example has been incorporated for its practical purpose.



中文翻译:

使用重复抽样方案设计扩展EWMA统计量的控制图

在本文中,我们提出了扩展指数加权移动平均值(EEWMA)控制图(CC),用于在假设产品质量特征是遵循正态分布的定量变量的前提下,使用重复抽样方案监视过程均值。使用控制中过程均值和方差推导两个命名为拟议CC的内部和外部控制极限的控制极限。得出了必要的措施以获得过程控制内和失控平均运行长度(ARL),并针对不同的过程偏移和平滑常数将其制成表格。进行比较以检查预期的CC与AEW方面的EEWMA CC和重复的EWMA CC的功能。已经观察到,所提出的CC在及早发现过程均值差异方面显示出更好的结果。进行了仿真研究,以说明所提出CC的性能。出于其实际目的已结合了一个工业示例。

更新日期:2020-10-24
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