VARIABLE SAMPLING INTERVAL SYNTHETIC CONTROL CHARTS FOR JOINTLY MONITORING PROCESS MEAN AND STANDARD DEVIATION
DOI:
https://doi.org/10.23055/ijietap.2006.13.2.431Keywords:
Control chart, Variable sampling interval (VSI), Average run length (ARL), Average time to signal (ATS)Abstract
This paper proposes a synthetic control chart for jointly monitoring the shifts in the mean and/or standard deviation of a
normally distributed process. The synthetic chart is a combination of the Max chart and the conforming run length (eRL)
chart. The Max chart can be treated as a special case of the synthetic chart. The operation, design, and performance of this
control chart are described. Comparisons of the average run length (ARL) performance of the synthetic chart, the Max chart
and the traditional joint X and S charts indicate that the synthetic chart outperforms the other two charts. The variable
sampling interval (VSI) schemes as an enha.ncement to the synthetic chart are discussed to further improve the chart
performance. A numerical example is given to illustrate the application of synthetic chart and its VSI scheme.
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