• Title/Summary/Keyword: Asymptotic ATS

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

  • Chang, Duk-Joon
    • Journal of Integrative Natural Science
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    • v.7 no.3
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    • pp.200-207
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    • 2014
  • 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 ${\lambda}$ becomes smaller.

An Accelerated Life Test Sampling Plan for Bulk Material (벌크재료 가속시험샘플링검사방식설계)

  • Kim Jong-Geol;Kim Dong-Cheol
    • Proceedings of the Safety Management and Science Conference
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    • 2006.04a
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    • pp.411-419
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    • 2006
  • This paper aims at designing an accelerated life test sampling plan for bulk material and showing its application for an arc-welded gas pipe. It is an integrated model of the accelerated life test procedure and bulk sampling procedure. The accelerated life tests were performed by the regulation, RSD 0005 of ATS at KITECH and bulk sampling was used for acceptance. Design parameters might be total sample size(segments and increments), stress level and so on. We focus on deciding the sample size by minimizing the asymptotic variance of test statistic as well as satisfying consumer's risk under Weibull life time distribution with primary information on shape parameter.

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