Abstract

In the present article, we propose a generally weighted moving average control chart based on a three-parameter logarithmic transformation for monitoring shifts in the process variability (regarded as S ²-GWMA chart). Monte Carlo simulations are used to evaluate its performance in terms of the run-length distribution. A comparison study versus the S ²-EMWA, S ²-CUSUM, CS-EWMA, S ²-HEWMA and GWMAV charts indicates that the proposed chart is more effective than its competitors in detecting small to moderate upward shifts while it performs similarly with the other charts for large shifts. Finally, a real example is presented to display the application of the S ²-GWMA chart.

摘要

在本文中，我们提出了一个基于三参数对数变换的一般加权移动平均控制图，用于监测过程变异性的变化（被视为S ² -GWMA 图）。Monte Carlo 模拟用于评估其运行长度分布方面的性能。与S ² -EMWA、S ² -CUSUM、CS-EWMA、S ² -HEWMA 和 GWMAV 图表的比较研究表明，所提议的图表在检测小到中等向上移动方面比其竞争对手更有效，而它与大班次的其他图表。最后，通过一个真实的例子来展示S ²的应用-GWMA 图表。