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[학술저널]

  • 학술저널

Hyeonggyu Kim(Kyungpook National University) Gyo-Young Cho(Kyungpook National University)

DOI : 10.7465/jkdi.2019.30.4.919

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초록

We propose a method for obtaining run-length distribution for Shewhart control charts with supplementary runs rules. We use Markov chain imbedding for obtaining the run length distribution. The method has several advantages. It is easy and fast to calculate and can be applied to other areas such as reliability with these advantages. In addition, accurate and clear distribution can be obtained. In this paper, we calculate probabilities of the run length according to the changes of the variances through S² control charts with supplementary runs rules. When the variance increases, the average run length (ARL) decreases rapidly. Also, when the degree of freedom increases, the ARL decreases.

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Abstract
1. Introduction
2. Finite Markov chain imbedding
3. Distribution of run-length
4. Conclusions
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