Economic design of Xbar control charts with continuously variable sampling intervals

Christopher A. Carolan · John F. Kros · Saïd E. Saïd

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 the context of economic design, a two‐stage model is proposed that utilizes continuously variable sampling intervals. Specifically, each successive sampling interval is determined by the extremity of the latest sample. Modeling the situation as a Markov chain, the hourly cost is developed for any arbitrary set of design parameters. This proposed approach is found to be more economically desirable, possessing a smaller average out‐of‐control production time, when compared with a standard two‐stage approach where the sampling interval alternates between two fixed values. Copyright © 2009 John Wiley & Sons, Ltd.

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References

1972An Approach to the Probability Distribution of Cusum Run Length 1956The Economic Design of X Charts Used to Maintain Current Control of a Process 1980The Economic Design of Control Charts: A Review and Literature Survey 1988$\overline{X}$ Charts with Variable Sampling Intervals 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 1994XCharts with Variable Sample Size 1994A Combined Adaptive Sample Size and Sampling IntervalXControl Scheme

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