Monitoring process mean and dispersion with one double generally weighted moving average control chart

Abstract

Control charts are widely known quality tools used to detect and control industrial process deviations in Statistical Process Control. In the current paper, we propose a new single memory-type control chart, called the maximum double generally weighted moving average chart (referred as Max-DGWMA), that simultaneously detects shifts in the process mean and/or process dispersion. The run length performance of the proposed Max-DGWMA chart is compared with that of the Max-EWMA, Max-DEWMA, Max-GWMA and SS-DGWMA charts, using time-varying control limits, through Monte–Carlo simulations. The comparisons reveal that the proposed chart is more efficient than the Max-EWMA, Max-DEWMA and Max-GWMA charts, while it is comparable with the SS-DGWMA chart. An automotive industry application is presented in order to implement the Max-DGWMA chart. The goal is to establish statistical control of the manufacturing process of the automobile engine piston rings. The source of the out-of-control signals is interpreted and the efficiency of the proposed chart in detecting shifts faster is evident.

Keywords:

• Average run length (ARL)
• standard deviation of run length (SDRL)
• Max-DGWMA chart
• Max-EWMA chart
• Max-DEWMA chart
• Max-GWMA chart

Acknowledgments

The authors would like to thank the Editor and the referees for their useful comments which resulted in improving the quality of this article.

Disclosure statement

No potential conflict of interest was reported by the author(s).