Economic‐statistical design of 2‐of‐2 and 2‐of‐3 runs rule scheme

Young‐Bok Kim · Jung‐Sik Hong · Chang‐Hoon Lie

18 citations0/0 files storedQuality and Reliability Engineering International

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Advanced Statistical Process Monitoring Management and Optimization Techniques Fault Detection and Control Systems

Abstract

Abstract In this paper, we investigate the economic‐statistical design method for the 2‐of‐2 runs rule and the 2‐of‐3 runs rule. The Markov chain approach is used to obtain the average run length and the process cycle time. In addition, a simplified algorithm is presented to search the optimal setting of the design parameters. A numerical example and sensitivity analysis are also provided to compare the performances of the runs rules. The results show that the use of runs rule scheme can reduce operating cost comparing with the Shewhart control chart while maintaining a good statistical performance. Copyright © 2008 John Wiley & Sons, Ltd.

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References

1990Exponentially Weighted Moving Average Control Schemes: Properties and Enhancements 1972An Approach to the Probability Distribution of Cusum Run Length 1956The Economic Design of X Charts Used to Maintain Current Control of a Process 1986The Economic Design of Control Charts: A Unified Approach 1987Exact Results for Shewhart Control Charts With Supplementary Runs Rules 1989Economic Statistical Control-Chart Designs With an Application to and R Charts 1956The Economic Design of | barX Charts used to Maintain Current Control of a Process 1996A Markov Chain Model for the Multivariate Exponentially Weighted Moving Averages Control Chart

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