An Empirical Study on the Run Length Properties of the Side-Sensitive Modified Group Runs Double Sampling (SSMGRDS) Control Chart for Monitoring the Process Mean Shifts
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Date
2020
Journal Title
Journal ISSN
Volume Title
Publisher
Academic Research Society of Malaysia
Abstract
The side-sensitive modified group runs double sampling (SSMGRDS) control chart integrates the side sensitive modified group runs (SSMGR) and double sampling (DS) charts concepts. The hybrid SSMGRDS chart which incorporates the sensitivity of its necessary control charts is an efficient procedure to enhance the mean shift detection speed. The average number of observations to signal (ANOS), percentiles of the number of observations to signal (PNOS) and median number of observations to signal (MNOS) as performance measures were employed to evaluate the
performance of the SSMGRDS chart in this study. The results obtained indicates that the SSMGRDS chart is more important for large process detection mean shifts quickly as the shifts size increases. Besides, an extensive use of the MNOS and PNOS to evaluate the performance of the SSMGRDS chart leads to overall understanding of the performance of chart’s due to the fact that the entire run length (RL) distribution has been considered. Generally, the findings herein unveil the RL properties of the SSMGRDS chart which will motivate professionals to use the chart for effective monitoring of their processes.
Description
Keywords
Control chart, Side-sensitive modified group runs double sampling (SSMGRDS), ANOS, MNOS, PNOS, Process mean shifts
Citation
International Journal of Computing and Mathematics