Abstract

Simultaneously monitoring of process mean and dispersion for the normal process has gained considerable attention. In this manuscript, we have proposed a maximum exponentially weighted moving average (Max-EWMA) control chart for joint monitoring of mean and dispersion using the inverse response function when the process follows Weibull distribution. The average run length (ARL) and the standard deviation of run length (SDRL) are used as the evaluation tools. The proposed control chart is compared with the available Max-EWMA control chart. We conclude that the proposed control chart is more sensitive than the considered control chart. The application of the proposed control chart is presented with the aid of two examples.

摘要

同时监测正常过程的过程平均值和离散度已经引起了相当多的关注。在这篇手稿中，我们提出了一个最大指数加权移动平均（Max-EWMA）控制图，用于在过程遵循威布尔分布时使用逆响应函数联合监测均值和离散度。使用平均游程长度（ARL）和游程长度标准差（SDRL ）作为评估工具。将建议的控制图与可用的Max-EWMA控制图进行比较。我们的结论是，建议的控制图比考虑的控制图更敏感。借助两个示例介绍了所提出的控制图的应用。