The Performance of Variable Sample Size Chart with Measurement Errors

Xuelong Hu · Philippe Castagliola · Jinsheng Sun · Michael B. C. Khoo

32 citations0/0 files storedQuality and Reliability Engineering International

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Advanced Statistical Process Monitoring Fault Detection and Control Systems Management Systems and Quality Improvement

Abstract

The variable sample size (VSS) chart has been investigated by several researchers under the assumption of no measurement error. However, in practice, measurement errors may exist in quality control applications. In this paper, the overall performance of the VSS chart is investigated when measurement errors exist using a linearly covariate error model, and a methodology is proposed for choosing optimal parameters by considering measurement errors. It is shown that the overall performance of the VSS chart is significantly affected by the presence of measurement errors. The effect of taking multiple measurements for each item in a subgroup on the performance of VSS chart is also investigated in this paper. An example is provided to illustrate the application of the VSS chart with measurement errors. Copyright © 2015 John Wiley & Sons, Ltd.

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References

1999Introduction to Matrix Analytic Methods in Stochastic Modeling 1994XCharts with Variable Sample Size 1998A Survey of Recent Developments in the Design of Adaptive Control Charts 1993GAUGE CAPABILITY AND DESIGNED EXPERIMENTS. PART I: BASIC METHODS 2011Monitoring the Coefficient of Variation Using EWMA Charts 2001Effect of Measurement Error on Shewhart Control Charts 2004Should Observations Be Grouped for Effective Process Monitoring?1993An optimal design of ewma control charts based on median run length

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