Performance of the Variable Parameters X¯ Control Chart in Presence of Measurement Errors

Hamed Sabahno · Amirhossein Amiri · Philippe Castagliola

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Advanced Statistical Process Monitoring Probability and Statistical Research Fault Detection and Control Systems

Abstract

Abstract In this article, we investigate the effect of measurement errors on the performance of the VP (Variable Parameters) X¯ control chart. After introducing the VP scheme for the X¯ chart with measurement errors, we evaluate the chart performance by using the average time to signal criterion, and we investigate the effect of measurement errors on the chart’s performance through extensive numerical studies. In addition, we investigate the effect of multiple measurements and the value of the linearly covariate error model’s parameters on the performance of VP X¯ control chart. We also consider the overall performance of the VP X¯ control chart and the optimal design parameters. Finally, the application of the proposed scheme is shown through an illustrative example.

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References

1994XCharts with Variable Sample Size 1998A Survey of Recent Developments in the Design of Adaptive Control Charts 1994A Combined Adaptive Sample Size and Sampling IntervalXControl Scheme 1993X¯ chart with adaptive sample sizes 1993GAUGE CAPABILITY AND DESIGNED EXPERIMENTS. PART I: BASIC METHODS 1997X Chart with Variable Sample Size and Sampling Intervals 1991Adaptive Sampling for Process Control 2001Effect of Measurement Error on Shewhart Control Charts

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