Tran Phuong Hanh, Heuchenne Cédric, Nguyen Huu Du, Marie Hélène
HEC Liège - Management School of the University of Liège, Liège, Belgium.
Institute of Artificial Intelligence and Data Science, Dong A University, Danang, Vietnam.
J Appl Stat. 2020 Jul 11;48(12):2178-2204. doi: 10.1080/02664763.2020.1787356. eCollection 2021.
We investigate, in this paper, the effect of the measurement error (ME) on the performance of Run Rules control charts monitoring the coefficient of variation (CV) squared. The previous Run Rules CV chart in the literature is improved slightly by monitoring the CV squared using two one-sided Run Rules charts instead of monitoring the CV itself using a two-sided chart. The numerical results show that this improvement gives better performance in detecting process shifts. Moreover, we will show through simulation that the and errors do have a negative effect on the performance of the proposed Run Rules charts. We also find out that taking multiple measurements per item is not an effective way to reduce these negative effects. The proposed Run Rules control charts can be applied in the anomaly detection area.
在本文中，我们研究了测量误差（ME）对用于监测变异系数（CV）平方的运行规则控制图性能的影响。通过使用两个单侧运行规则图监测CV平方，而不是使用双侧图监测CV本身，对文献中先前的运行规则CV图进行了轻微改进。数值结果表明，这种改进在检测过程偏移方面具有更好的性能。此外，我们将通过模拟表明，测量误差和读数误差确实会对所提出的运行规则图的性能产生负面影响。我们还发现，对每个项目进行多次测量并不是减少这些负面影响的有效方法。所提出的运行规则控制图可应用于异常检测领域。
