In this paper, we are interested in monitoring the stability of a Weibull process mean. We introduce a simplified variable sample size (SVSS) procedure, which consists of using alternately sample sizes $n_A$ and $n_B$ with $n_A>n_B$, to improve the performance of the traditional $\overline{X}$ control chart (a fixed sample size n). Operationally, the proposal is relatively simple and its adoption yields a faster signal of an abnormal situation compared with the traditional $\overline{X}$ chart in a variety of shifts. We present instructions for practitioners on how to design a control chart using the SVSS procedure. We also illustrate the proposed scheme through a numerical example.

中文翻译：

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改善Shewhart控制图性能以监控Weibull均值

在本文中，我们对监视Weibull过程均值的稳定性感兴趣。我们介绍了简化的可变样本大小（SVSS）过程，该过程包括交替使用样本大小${ñ}_{\mathrm{一种}}$ 和 ${ñ}_{乙}$ 和 ${ñ}_{\mathrm{一种}}>{ñ}_{乙}$，提高传统的性能 $\overline{X}$控制图（固定样本大小n）。在操作上，该建议相对简单，与传统建议相比，该建议的采纳会更快地发出异常情况的信号$\overline{X}$图表在各种变化中。我们为从业人员提供有关如何使用SVSS程序设计控制图的说明。我们还通过一个数值示例来说明所提出的方案。