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Evaluating the ANSS and ATS Values of the Multivariate EWMA Control Charts with Markov Chain Method

원문정보

초록

영어

Average number of samples to signal (ANSS) and average time to signal (ATS) are the most widely used criterion for comparing the efficiencies of the quality control charts. In this study the method of evaluating ANSS and ATS values of the multivariate exponentially weighted moving average (EWMA) control charts with Markov chain approach was presented when the production process is in control state or out of control state. Through numerical results, it is found that when the number of transient state r is less than 50, the calculated ANSS and ATS values are unstable; and ATS(r) tends to be stabilized when r is greater than 100; in addition, when the properties of multivariate EWMA control chart is evaluated using Markov chain method, the number of transient state r requires bigger values when the smoothing constatnt λ becomes smaller.

목차

Abstract
 1. Introduction
 2. Multivariate Control Statistic
 3. ANSS and ATS of Multivariate EWMA Chart
  3.1. Fixed Sampling Interval Case
  3.2 Variable Sampling Interval Case
 4. Computational Results and Concluding Remarks
 Acknowledgements
 References

저자정보

  • Duk-Joon Chang Department of statistics, Changwon National University, Changwon, 641-773, Korea

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