Multivariate Synthetic |S| Control Chart with Variable Sampling Interval

Abstract

A variable sampling interval (VSI) feature is introduced to the multivariate synthetic generalized sample variance |S| control chart. This multivariate synthetic control chart is a combination of the |S| sub-chart and the conforming run length sub-chart. The VSI feature enhances the performance of the multivariate synthetic control chart. The comparative results show that the VSI multivariate synthetic control chart performs better than other types of multivariate control charts for detecting shifts in the covariance matrix of a multivariate normally distributed process. An example is given to illustrate the operation of the VSI multivariate synthetic chart.

Keywords:

• Average run length
• Generalized sample variance
• Multivariate chart
• Synthetic chart

Mathematics Subject Classification:

• Primary 62P30
• Secondary 62H99