In this article, we propose “Alternated Charting Statistic‐Modified Group Runs” (ACS‐MGR) control chart for monitoring mean vectors of bivariate and trivariate processes, as an improvement over the ACS chart. This chart is obtained by combining ACS chart with the MGR chart, and it is verified that ACS‐MGR chart significantly reduces “Average Time to Signal” (ATS) as compared with ACS chart, when the process has gone out of control. Steady state performance of the chart is also studied by comparing with steady state performance of the ACS‐Syn chart and ACS‐GR chart.

中文翻译：

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用于监视双变量和三变量过程的平均向量的“备用图表统计量修改的组运行”（ACS-MGR）控制图

在本文中，我们提出了“备用统计图统计量修改的组运行”（ACS-MGR）控制图，用于监控双变量和三变量过程的平均向量，作为对ACS图表的改进。该图表是通过将ACS图表与MGR图表相结合而获得的，并且可以证明，当过程失控时，与ACS图表相比，ACS‐MGR图表显着减少了“平均信号时间”（ATS）。通过与ACS-Syn图和ACS-GR图的稳态性能进行比较，还研究了该图的稳态性能。