Hybrid control charts have become part of statistical process control (SPC) but still, need more emphasis. Researchers are developing charts for joint monitoring of process mean and variance shifts just like Max-EWMA and their hybrid version using auxiliary information but are ignoring the effect of measurement error on the efficiency of charts. We propose maximum hybrid exponentially weighted moving average with measurement error using auxiliary information and name it Max-HEWMAMEAI control chart. The efficiency of this chart is proved through calculations of average run lengths ($ARLs$) and standard deviations of run lengths (SDRLs) using the Monte Carlo simulations method whereas, $ARLs$ and $SDRLs$ are shown in tabular form. The effect of measurement error on the efficiency of the chart has been analyzed and the impact of multiple measurements to reduce the error effect has been studied using the covariate model. Real-life application is also part of this article to support the simulation results.

中文翻译：

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存在测量误差的最大混合指数加权移动平均控制图利用辅助信息

混合控制图已成为统计过程控制 (SPC) 的一部分，但仍需要更多强调。研究人员正在开发用于联合监控过程均值和方差变化的图表，就像 Max-EWMA 及其使用辅助信息的混合版本一样，但忽略了测量误差对图表效率的影响。我们使用辅助信息提出了具有测量误差的最大混合指数加权移动平均，并将其命名为Max-HEWMAMEAI控制图。该图表的效率通过计算平均游程长度 ($\mathrm{一种}\mathrm{电阻}升秒$) 和使用蒙特卡罗模拟方法的游程长度 (SDRL) 的标准偏差，而 $\mathrm{一种}\mathrm{电阻}升秒$ 和 $秒D\mathrm{电阻}升秒$以表格形式显示。已经分析了测量误差对图表效率的影响，并使用协变量模型研究了多次测量对减少误差影响的影响。实际应用也是本文的一部分，以支持仿真结果。