Optimal design of the variable sampling size and sampling interval variable dimension T² control chart for monitoring the mean vector of a multivariate normal process

ABSTRACT

This paper develops the algorithm for the optimization designs of the adaptive T² Control Chart for Monitoring the Mean Vector of a Multivariate Normal Process. It includes the variable sample size, variable sampling interval and variable dimensional chart. The VDT² control chart performs well for moderate and large shifts in the mean vector. However, its performance for small shifts is poor. To improve the chart's performance in detecting such shifts, we propose the application of the variable sample size and sampling interval technique to the VDT² control chart, resulting in the VSSIVDT² control chart.

KEYWORDS:

• Average time to signal
• Markov chain
• Variable dimension
• Variable sampling size and interval