Journal
IIE TRANSACTIONS
Volume 43, Issue 1, Pages 23-38Publisher
TAYLOR & FRANCIS INC
DOI: 10.1080/0740817X.2010.491503
Keywords
Synthetic chart; double sampling chart; exponentially weighted moving average chart; conforming run length; average run length; average number of observations to sample
Funding
- Universiti Sains Malaysia [1001/PMATHS/811024]
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This article proposes a synthetic double sampling chart that integrates the Double Sampling (DS) [image omitted] chart and the conforming run length chart. The proposed procedure offers performance improvements in terms of the zero-state Average Run Length (ARL) and Average Number of Observations to Sample (ANOS). When the size of a mean shift (given in terms of the number of standard deviation units) is small (i.e., between 0.4 and 0.6) and the mean sample size n= 5, the proposed procedure reduces the out-of-control ARL and ANOS values by nearly half, compared with both the synthetic and DS [image omitted] charts. In terms of detection ability versus the Exponentially Weighted Moving Average (EWMA) chart, the synthetic DS chart is superior to the synthetic or even the DS [image omitted] chart, as the former outperforms the EWMA chart for a larger range of values compared to the latter. The proposed procedure generally outperforms the EWMA chart in the detection of a mean shift when is larger than 0.5 and n= 5 or 10. Although the proposed procedure is less sensitive than the EWMA chart when is smaller than 0.5, this may not be a setback as it is usually not desirable, from a practical viewpoint, to signal very small shifts in the process to avoid too frequent process interruptions. Instead, under such circumstances, it is better to leave the process undisturbed.
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