Joint statistical design of X¯ and s charts with combined double sampling and variable sampling interval

A combination of double sampling and variable sampling interval (DSVSI) charts can increase the efficiency of signaling small shifts. This study proposes joint DSVSI X¯ and s   charts and investigates their statistical performance. The proposed approach uses a Markov chain approach to compute the statistical performance, and uses a statistical design model to design DSVSI X¯ and s   charts for detecting the mean shift and variance increase. A comparison study shows that the DSVSI X¯ and s   charts are better able to signal the shifts of both mean and variance than joint double sampling X¯ and s   chart, adaptive X¯ and R charts, EWMA, and CUSUM charts.

► Joint DSVSI X¯ and s chart was developed to control process mean and variance.
► A Markov chain approach was used to create the performance indicator of this chart.
► A mathematical model is built to optimize the design of this chart.
► DSVSI has better performance than DS, adaptive, EWMA, and CUSUM charts.