The coefficient of variation (CV) is used in process monitoring when the process mean and standard deviation are proportional to each other. In this work, a side‐sensitive modified group runs CV (SSMGR CV) chart is proposed for monitoring the process CV. The run length performance of the SSMGR CV chart is compared to those of the existing CV charts in terms of the average and standard deviation of the run length criteria. The SSMGR CV chart is found to outperform the existing CV charts. In addition, the run length performance of the SSMGR CV chart is also evaluated in the presence of measurement errors, as these errors are not only unavoidable in practice but they also affect the sensitivity of a control chart in detecting an out‐of‐control situation. The results obtained show that the accuracy and precision errors affect the performance of the SSMGR CV chart in detecting an out‐of‐control situation.

中文翻译：

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侧面敏感的修改组运行带有或不带有测量误差的图表，以监控变化系数

当过程平均值和标准偏差彼此成比例时，变异系数（CV）用于过程监视。在这项工作中，建议使用侧面敏感的修改后的组运行CV（SSMGR CV）图来监视过程CV。将SSMGR CV图表的游程长度性能与现有CV图表的游程长度性能进行比较，以游程长度标准的平均和标准偏差为准。发现SSMGR CV图表的性能优于现有CV图表。此外，还会在存在测量错误的情况下评估SSMGR CV图的行程长度性能，因为这些错误不仅在实践中是不可避免的，而且还会影响控制图在检测失控情况下的敏感性。 。获得的结果表明精度和精度错误会影响SSMGR CV图在检测失控情况下的性能。