Hotelling T2 control chart Optimisation Normal Variables Genetic Algorithm Average Run Length
Abstract
We propose a chart for normal variables that uses a statistic that is a recursive form of Hotelling’s T2 statistic. The objective of this study is to improve the performance of the T2 chart. To analyse the performance of this chart, we have developed a user-friendly program that finds the best parameters through Genetic Algorithms. This algorithm minimises the out-of-control ARL (Average Run Length) for a proposed shift in the mean vector under the restriction of a desired in-control ARL value. The proposed control chart shows better performance than the Hotelling T2 chart.
