Design of an attribute np control chart for process monitoring based on repetitive group sampling under truncated life tests

ABSTRACT

In this paper, an attribute control chart under repetitive group sampling is designed for monitoring the production process where the lifetime of the product is considered as quality of the product. We assume that the lifetime follows the Pareto distribution of second kind with known shape parameter. The performance of the proposed chart is evaluated by average run length. The control limits coefficients as well as the repetitive group sampling parameter such as sample size are determined such that the in-control average run length is as close as to the specified average run length. Out-of-control average run length is also reported for different shift constants with corresponding optimal parameters. In addition, performance of proposed control chart is compared with the performance of existing chart. An economical designing of proposed control chart is also discussed.

KEYWORDS:

• Control chart
• average run length
• repetitive group sampling
• Pareto distribution of second kind
• mean life
• truncated life test.

MATHEMATICS SUBJECT CLASSIFICATION:

• 62P30
• 62N05
• 90B25

Acknowledgments

The authors would like to thank the editor and the anonymous reviewers for their precious comments which led to improve the presentation of this manuscript.

Funding

This article was funded by the Deanship of Scientific Research (DSR) at King Abdulaziz University, Jeddah. The author, Muhammad Aslam, therefore, acknowledge with thanks DSR technical and financial support.