Monitoring exponential data using two-sided control charts with runs rules

Abstract

In this article, new two-sided control charts with runs rules, suitable for the monitoring of exponential data, are proposed and studied. The proposed schemes are suitable to identify changes (upward or downward) in the mean of an exponential distribution. Also, they have the desired in-control performance as well as unbiased performance. Guidelines for the most effective scheme in practice are provided, along with comparisons with other competitive schemes. Finally, the practical application of the proposed schemes is also discussed.

Keywords:

• ARL-unbiased design
• control charts
• exponential distribution
• Markov chain embedding technique
• runs rules
• time between events

AMS Subject Classification:

• 62P30

Acknowledgments

The author would like to thank the one anonymous reviewer for the useful suggestions and comments made, which improved the content of the paper.

Disclosure statement

No potential conflict of interest was reported by the author.