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Performance of cumulative count of conforming chart of variable sampling intervals with estimated control limits

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  • Zhang, Min
  • Nie, Guohua
  • He, Zhen

Abstract

The control chart with cumulative count of conforming (CCC) items is very useful for high-quality processes. The current research of CCC chart performance with parameter estimation is focusing on the fixed sampling interval (FSI) scheme. In this paper, we investigate the effect of performance of CCC chart with variable sampling intervals with estimated control limits. The best design parameters of CCC chart with variable sampling intervals with known process nonconforming rate p0 are verified when such p0 is estimated with Bayesian estimator. The average time to signal (ATS) and its standard deviation (SDATS) are calculated when the high-quality process is in-control and out-of-control. Its efficiency is compared with that of FSI CCC chart, which shows a great cost reduction in practice.

Suggested Citation

  • Zhang, Min & Nie, Guohua & He, Zhen, 2014. "Performance of cumulative count of conforming chart of variable sampling intervals with estimated control limits," International Journal of Production Economics, Elsevier, vol. 150(C), pages 114-124.
  • Handle: RePEc:eee:proeco:v:150:y:2014:i:c:p:114-124
    DOI: 10.1016/j.ijpe.2013.12.013
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    References listed on IDEAS

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    1. Khoo, Michael B.C. & Teoh, W.L. & Castagliola, Philippe & Lee, M.H., 2013. "Optimal designs of the double sampling X¯ chart with estimated parameters," International Journal of Production Economics, Elsevier, vol. 144(1), pages 345-357.
    2. He, Feng & Shu, Lianjie & Tsui, Kwok-Leung, 2014. "Adaptive CUSUM charts for monitoring linear drifts in Poisson rates," International Journal of Production Economics, Elsevier, vol. 148(C), pages 14-20.
    3. Shu, Lianjie & Jiang, Wei & Wu, Zhang, 2008. "Adaptive CUSUM procedures with Markovian mean estimation," Computational Statistics & Data Analysis, Elsevier, vol. 52(9), pages 4395-4409, May.
    4. Costa, Antonio Fernando Branco & Machado, Marcela Aparecida Guerreiro, 2011. "Variable parameter and double sampling charts in the presence of correlation: The Markov chain approach," International Journal of Production Economics, Elsevier, vol. 130(2), pages 224-229, April.
    5. Torng, Chau-Chen & Lee, Pei-Hsi & Liao, Nai-Yi, 2009. "An economic-statistical design of double sampling control chart," International Journal of Production Economics, Elsevier, vol. 120(2), pages 495-500, August.
    6. Luo, Yunzhao & Li, Zhonghua & Wang, Zhaojun, 2009. "Adaptive CUSUM control chart with variable sampling intervals," Computational Statistics & Data Analysis, Elsevier, vol. 53(7), pages 2693-2701, May.
    7. Liu, J.Y. & Xie, M. & Goh, T.N. & Liu, Q.H. & Yang, Z.H., 2006. "Cumulative count of conforming chart with variable sampling intervals," International Journal of Production Economics, Elsevier, vol. 101(2), pages 286-297, June.
    8. De Magalhaes, Maysa S. & B. Costa, Antonio F. & Moura Neto, Francisco D., 2006. "Adaptive control charts: A Markovian approach for processes subject to independent disturbances," International Journal of Production Economics, Elsevier, vol. 99(1-2), pages 236-246, February.
    9. Lee, Pei-Hsi & Torng, Chau-Chen & Liao, Li-Fang, 2012. "An economic design of combined double sampling and variable sampling interval X¯ control chart," International Journal of Production Economics, Elsevier, vol. 138(1), pages 102-106.
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    1. Lim, S.L. & Khoo, Michael B.C. & Teoh, W.L. & Xie, M., 2015. "Optimal designs of the variable sample size and sampling interval X¯ chart when process parameters are estimated," International Journal of Production Economics, Elsevier, vol. 166(C), pages 20-35.

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