论文标题
使用运行规则类型控制图来监视多元变化系数
Monitoring the Multivariate Coefficient of Variation using Run Rules Type Control Charts
论文作者
论文摘要
在实践中，在某些过程中，控制质量特征的控制均值和标准偏差不稳定。在这种情况下，变异系数（CV）是评估过程稳定性的更合适的措施。在本文中，我们考虑了基于运行规则的控制图的统计设计，以监视多元数据的简历。马尔可夫链方法用于评估所提出的图表的统计性能。计算结果表明，基于运行规则的图表的表现明显优于标准的Shewhart控制图。此外，通过选择适当的方案，基于运行规则的图表的性能优于朗姆酒总和控制图表，用于监视多元简历。给出了春季制造过程中的一个示例，以说明拟议图表的实现。
In practice, there are processes where the in-control mean and standard deviation of a quality characteristic is not stable. In such cases, the coefficient of variation (CV) is a more appropriate measure for assessing process stability. In this paper, we consider the statistical design of Run Rules based control charts for monitoring the CV of multivariate data. A Markov chain approach is used to evaluate the statistical performance of the proposed charts. The computational results show that the Run Rules based charts outperform significantly the standard Shewhart control chart. Moreover, by choosing an appropriate scheme, the Run Rules based charts perform better than the Rum Sum control chart for monitoring the multivariate CV. An example in a spring manufacturing process is given to illustrate the implementation of the proposed charts.
