Wang Jing, Arslan Muhammad, Riaz Afshan, Lone Showkat Ahmad, Gunaime Nevine M
Taiyuan Normal University, Jianzhong, China.
Jiangsu University, and Institute of Southern Punjab, Multan, Pakistan.
Sci Rep. 2023 Sep 7;13(1):14760. doi: 10.1038/s41598-023-41761-7.
Measurement error (M.E) can have a substantial impact on quality control applications, diminishing the sensitivity to detect changes in the mean or variance of quality characteristics. To monitor shifts in process mean and dispersion, Exponentially Weighted Moving Average (EWMA) and Cumulative Sum (CUSUM) control charts are commonly employed. In our research, we investigated the influence of M.E on the Triple Exponentially Weighted Moving Average (TEWMA) control chart. We assessed the performance of the control chart using Average Run Length (ARL) as the evaluation metric. To compute the ARL properties, we adopted the Monte-Carlo simulation method. A comparison section has been made to check the performance efficiency of the control chart with the existing EWMA control chart. The implementation of a control chart on a real data set is also presented.
测量误差（M.E）会对质量控制应用产生重大影响，降低检测质量特性均值或方差变化的灵敏度。为了监测过程均值和离散度的变化，通常采用指数加权移动平均（EWMA）控制图和累积和（CUSUM）控制图。在我们的研究中，我们调查了测量误差对三重指数加权移动平均（TEWMA）控制图的影响。我们使用平均运行长度（ARL）作为评估指标来评估控制图的性能。为了计算ARL属性，我们采用了蒙特卡罗模拟方法。设置了一个比较部分，以检查该控制图与现有EWMA控制图的性能效率。还介绍了在实际数据集上实施控制图的情况。
