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Average Run Length Performance of Shewhart Control Charts with Interpretation Rules

Authors: Abdul Jamali; Li JinLin; Muhammad Durad;

Average Run Length Performance of Shewhart Control Charts with Interpretation Rules

Abstract

The most popular tool used in the industry for monitoring the process mean is the Shewhart control chart. The major disadvantage of the Shewhart control chart is that it is not very efficient in detecting the small changes in the process mean. In order to make the Shewhart chart more efficient to detect the small changes in the process mean additional interpretation rules has been suggested. In this paper, the average run length (ARL) performance of most used seven interpretation rules were obtained by developing a spread sheet for normal and gamma distributions. The results show that the in-control average run length performance (when process is in control) be fairly high for particular rules when underlying data from a gamma distribution rather than normal distribution. It was also observed that the out-of- control average run length performance (when process is out of control) vary greatly from normal to gamma distributions.

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
1
Average
Average
Average
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