In the service and manufacturing industry, memory‐type control charts are extensively applied for monitoring the production process. These types of charts have the ability to efficiently detect disturbances, especially of smaller amount, in the process mean and/or dispersion. Recently, a new homogeneously weighted moving average (HWMA) chart has been proposed for efficient monitoring of smaller shifts. In this study, we have proposed a new double HWMA (DHWMA) chart to monitor the changes in the process mean. The run length profile of the proposed DHWMA chart is evaluated and compared with some existing control charts. The outcomes reveal that the DHWMA chart shows better performance over its competitor charts. The effect of non‐normality (in terms of robustness) and the estimation of the unknown parameters on the performance of the DHWMA chart are also investigated as a part of this study. Finally, a real‐life industrial application is offered to demonstrate the proposal for practical considerations.

中文翻译：

---

用于监视过程均值的双重均匀加权移动平均控制图

在服务和制造业中，内存类型的控制图广泛用于监视生产过程。这些类型的图表具有有效检测过程平均值和/或分散度中的干扰的能力，尤其是较小量的干扰。最近，已经提出了一种新的均匀加权移动平均（HWMA）图表，用于有效监控较小的班次。在这项研究中，我们提出了一个新的双HWMA（DHWMA）图表来监视过程平均值的变化。拟议的DHWMA图表的行程长度分布图经过评估，并与一些现有的控制图进行了比较。结果表明，DHWMA图表显示出比其竞争对手图表更好的性能。作为研究的一部分，还研究了非正态性（就鲁棒性而言）的影响以及未知参数的估计对DHWMA图性能的影响。最后，提供了一个现实生活中的工业应用来演示该提案的实际考虑。