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A compound control chart for monitoring and controlling high quality processes

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  • Bersimis, Sotiris
  • Koutras, Markos V.
  • Maravelakis, Petros E.

Abstract

In the present article, we propose a new control chart for monitoring high quality processes. More specifically, we suggest declaring the monitored process out of control, by exploiting a compound rule couching on the number of conforming units observed between the (i−1)th and the ith nonconforming item and the number of conforming items observed between the (i−2)th and the ith nonconforming item. Our numerical experimentation demonstrates that the proposed control chart, in most of the cases, exhibits a better (or at least equivalent) performance than its competitors.

Suggested Citation

  • Bersimis, Sotiris & Koutras, Markos V. & Maravelakis, Petros E., 2014. "A compound control chart for monitoring and controlling high quality processes," European Journal of Operational Research, Elsevier, vol. 233(3), pages 595-603.
    • Handle: RePEc:eee:ejores:v:233:y:2014:i:3:p:595-603
    DOI: 10.1016/j.ejor.2013.08.017
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    References listed on IDEAS

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    1. Wu, Zhang & Zhang, Xiaolan & Yeo, Song Huat, 2001. "Design of the sum-of-conforming-run-length control charts," European Journal of Operational Research, Elsevier, vol. 132(1), pages 187-196, July.
    2. Yan‐Kwang Chen & Chien‐Yue Chen & Kuo‐Ching Chiou, 2011. "Cumulative conformance count chart with variable sampling intervals and control limits," Applied Stochastic Models in Business and Industry, John Wiley & Sons, vol. 27(4), pages 410-420, July.
    3. Maravelakis, Petros E. & Castagliola, Philippe, 2009. "An EWMA chart for monitoring the process standard deviation when parameters are estimated," Computational Statistics & Data Analysis, Elsevier, vol. 53(7), pages 2653-2664, May.
    4. Arthur B. Yeh & Richard N. Mcgrath & Mark A. Sembower & Qi Shen, 2008. "EWMA control charts for monitoring high-yield processes based on non-transformed observations," International Journal of Production Research, Taylor & Francis Journals, vol. 46(20), pages 5679-5699, January.
    5. Haridy, Salah & Wu, Zhang & Lee, Ka Man & Bhuiyan, Nadia, 2013. "Optimal average sample number of the SPRT chart for monitoring fraction nonconforming," European Journal of Operational Research, Elsevier, vol. 229(2), pages 411-421.
    6. Wang, Hsiuying, 2009. "Comparison of p control charts for low defective rate," Computational Statistics & Data Analysis, Elsevier, vol. 53(12), pages 4210-4220, October.
    7. Costa Quinino, Roberto da & Colin, Emerson C. & Ho, Linda Lee, 2010. "Diagnostic errors and repetitive sequential classifications in on-line process control by attributes," European Journal of Operational Research, Elsevier, vol. 201(1), pages 231-238, February.
    8. Chan, L. Y. & Lai, C. D. & Xie, M. & Goh, T. N., 2003. "A two-stage decision procedure for monitoring processes with low fraction nonconforming," European Journal of Operational Research, Elsevier, vol. 150(2), pages 420-436, October.
    9. Liu, Yafen & He, Zhen & Shu, Lianjie & Wu, Zhang, 2009. "Statistical computation and analyses for attribute events," Computational Statistics & Data Analysis, Elsevier, vol. 53(9), pages 3412-3425, July.
    10. Patrick Bourke, 2006. "The RL2 chart versus the np chart for detecting upward shifts in fraction defective," Journal of Applied Statistics, Taylor & Francis Journals, vol. 33(1), pages 1-15.
    11. Seyed Akhavan Niaki & Babak Abbasi, 2007. "On the monitoring of multi-attributes high-quality production processes," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 66(3), pages 373-388, November.
    12. Aurelia De Araujo Rodrigues & Eugenio Kahn Epprecht & Maysa Sacramento De Magalhaes, 2011. "Double-sampling control charts for attributes," Journal of Applied Statistics, Taylor & Francis Journals, vol. 38(1), pages 87-112.
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    Cited by:

    1. Song, Zhi & Mukherjee, Amitava & Liu, Yanchun & Zhang, Jiujun, 2019. "Optimizing joint location-scale monitoring – An adaptive distribution-free approach with minimal loss of information," European Journal of Operational Research, Elsevier, vol. 274(3), pages 1019-1036.
    2. Chang, Hsing-Ming & Chang, Yung-Ming & Fu, Winnie H.W. & Lee, Wan-Chen, 2018. "On limiting theorems for conditional causation probabilities of multiple-run-rules," Statistics & Probability Letters, Elsevier, vol. 138(C), pages 151-156.
    3. Lei Yong Lee & Michael Boon Chong Khoo & Sin Yin Teh & Ming Ha Lee, 2015. "A Variable Sampling Interval Synthetic Xbar Chart for the Process Mean," PLOS ONE, Public Library of Science, vol. 10(5), pages 1-18, May.
    4. Zhao, Xian & Wang, Xiaoyue & Sun, Ge, 2015. "Start-up demonstration tests with sparse connection," European Journal of Operational Research, Elsevier, vol. 243(3), pages 865-873.
    5. Teoh, W.L. & Khoo, Michael B.C. & Castagliola, Philippe & Yeong, W.C. & Teh, S.Y., 2017. "Run-sum control charts for monitoring the coefficient of variation," European Journal of Operational Research, Elsevier, vol. 257(1), pages 144-158.
    6. Nguyen, H.D. & Tran, K.P. & Tran, K.D., 2021. "The effect of measurement errors on the performance of the Exponentially Weighted Moving Average control charts for the Ratio of Two Normally Distributed Variables," European Journal of Operational Research, Elsevier, vol. 293(1), pages 203-218.
    7. Spiros D. Dafnis & Frosso S. Makri & Markos V. Koutras, 2021. "Generalizations of Runs and Patterns Distributions for Sequences of Binary Trials," Methodology and Computing in Applied Probability, Springer, vol. 23(1), pages 165-185, March.
    8. Moura Neto, F. & Souza, P. & de Magalhães, M.S., 2019. "Determining baseline profile by diffusion maps," European Journal of Operational Research, Elsevier, vol. 279(1), pages 107-123.

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