A synthetic double sampling control chart for process mean using auxiliary information

A control chart is a simple yet powerful tool that is extensively adopted to monitor shifts in the process mean. In recent years, auxiliary‐information–based (AIB) control charts have received considerable attention as these control charts outperform their counterparts in monitoring changes in the p...

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Bibliographic Details
Published in:Quality and reliability engineering international 2019-10, Vol.35 (6), p.1803-1825
Main Authors: Haq, Abdul, Khoo, Michael Boon Chong
Format: Article
Language:English
Subjects:
auxiliary information
average run length
conforming run length
Control charts
double sampling chart
Optimization
Process parameters
Sampling
synthetic chart
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Summary:A control chart is a simple yet powerful tool that is extensively adopted to monitor shifts in the process mean. In recent years, auxiliary‐information–based (AIB) control charts have received considerable attention as these control charts outperform their counterparts in monitoring changes in the process parameter(s). In this article, we integrate the conforming run length chart with the existing AIB double sampling (AIB DS) chart to propose an AIB synthetic DS chart for the process mean. The AIB synthetic DS chart also encompasses the existing synthetic DS chart. A detailed discussion on the construction, optimization, and evaluation of the run length profiles is provided for the proposed control chart. It is found that the optimal AIB synthetic DS chart significantly outperforms the existing AIB Shewhart, optimal AIB synthetic, and AIB DS charts in detecting various shifts in the process mean. An illustrative example is given to demonstrate the implementation of the existing and proposed AIB control charts.
ISSN:0748-8017
1099-1638
DOI:10.1002/qre.2477