A control chart to monitor the process mean based on inspecting attributes using control limits of the traditional X-bar chart

This paper proposes a new control chart, denoted by , for evaluating the stability of a process mean, which is based on attribute inspection. In the control chart, the mean of the quality characteristic of interest is controlled by a go-no-go gauge device that generates five categorizations. In equa...

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Bibliographic Details
Published inJournal of statistical computation and simulation Vol. 90; no. 9; pp. 1639 - 1660
Main Authors Quinino, R. C., Ho, L. L., Cruz, F. R. B., Bessegato, L. F.
Format Journal Article
LanguageEnglish
Published Abingdon Taylor & Francis 12.06.2020
Taylor & Francis Ltd
Subjects
attribute and variable control charts
average run length
control chart
Control charts
Control limits
Control stability
Inspection
Normal distribution
Quality
Stability analysis
X-bar charts
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Summary:This paper proposes a new control chart, denoted by , for evaluating the stability of a process mean, which is based on attribute inspection. In the control chart, the mean of the quality characteristic of interest is controlled by a go-no-go gauge device that generates five categorizations. In equally-spaced times, samples of n items are collected, their categories are determined, and random values are generated according to a truncated normal distribution that corresponds to their categories. With these random values, the averages are estimated and the control charts are built. Extensive computational experiments shown that the newly introduced control charts perform similarly to the usual control chart in terms of average run length, provided that the sample sizes are raised by approximately three additional sample units. Because the control charts use attributes, they can be considered a viable alternative to the traditional control chart.
ISSN:0094-9655
1563-5163
DOI:10.1080/00949655.2020.1741588