On designing new optimal synthetic Tukey’s control charts

ABSTRACT

Tukey’s control chart is generally used for monitoring the processes where the measurement process physically damages the product. It is based on single observation and robust to outliers. In this paper, two optimal synthetic Tukey’s control charts are proposed by integrating the conforming run length chart with the Tukey’s control chart and its modification. The performance comparison of the proposed charts with the existing Tukey’s control charts is made by using out-of-control average run length and extra quadratic loss as performance metrics. The proposed charts offer better protection against the process shifts as compare to the existing Tukey’s control charts when the underlying process distribution is symmetric or asymmetric. Simulation studies also establish the supremacy of the proposed control charts over the existing Tukey’s control charts. In the end, an illustrative example based on a real data set of the combined cycle power plant is provided for practical implementation.

KEYWORDS:

• Average run length
• conforming run length
• destructive testing
• skewed distribution
• synthetic control chart
• Tukey’s control chart

Acknowledgments

The authors are thankful to the editor and anonymous referees for precious comments that led to the improvement of the paper. The First two authors also express their gratitude to the Chinese Scholarship Council (CSC) for providing support and excellent research facilities.

Disclosure statement

No potential conflict of interest was reported by the authors.

ORCID

Tahir Nawaz http://orcid.org/0000-0003-0609-2084

Additional information

Funding

This research work is partially supported by the National Natural Science Foundation of China [grant number 11531001].