Abstract
T2 chart and MEWMA chart are used to monitor a process when more than one quality variable is being observed. Recent studies have shown that T2 chart with variable sampling size and sampling interval (VSSI) detects a small shift in the process mean vector faster than the traditional T2 chart. This paper analyses T2 control chart with VSSI (T2-VSSI) and MEWMA chart, and finds which one is better in statistical properties. ATS (Average Time to Signal) for T2 control chart with VSSI and ARL (Average Run Length) for MEWMA chart are calculated by an approach called morkov chain. Then different values of some parameters are studied to get the optimal sampling scheme which makes ATS or ARL minimum. And the values of ATS and ARL are compared to find out the better one.
National key science & technology specific projects of China (No. 2011ZX04015-041).
Science Fund of State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body in Hunan University (No. 71075005).
Fundamental Research Funds for the Central Universities of Hunan University in 2009.
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Acknowledgments
We would like to thank the professor Jian Liu who guides us to finish and modify it seriously and the experts who expressed their insights provided by the references. In addition, we acknowledge the financial support of National key science & technology specific projects of China (No. 2011ZX04015-041), the Science Fund of State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body in Hunan University (No. 71075005) and the Fundamental Research Funds for the Central Universities of Hunan University in 2009.
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Zhang, J., Liu, J., Zeng, C. (2013). Comparing the Statistical Properties of T2 Control Chart with VSSI and MEWMA Chart. In: Qi, E., Shen, J., Dou, R. (eds) International Asia Conference on Industrial Engineering and Management Innovation (IEMI2012) Proceedings. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-38445-5_69
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DOI: https://doi.org/10.1007/978-3-642-38445-5_69
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