IDEAS home Printed from https://ideas.repec.org/a/eee/ejores/v233y2014i3p595-603.html
   My bibliography  Save this article

A compound control chart for monitoring and controlling high quality processes

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0377221713006826
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.ejor.2013.08.017?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Wang, Hsiuying, 2009. "Comparison of p control charts for low defective rate," Computational Statistics & Data Analysis, Elsevier, vol. 53(12), pages 4210-4220, October.
    2. 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.
    3. 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.
    4. 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.
    5. 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.
    6. 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.
    7. 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.
    8. 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.
    9. 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.
    10. 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.
    11. 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.
    12. 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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    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. 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.
    3. 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.
    4. 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.
    5. 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.
    6. 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.
    7. 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.
    8. 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.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Qu, Liang & Wu, Zhang & Khoo, Michael B.C. & Castagliola, Philippe, 2013. "A CUSUM scheme for event monitoring," International Journal of Production Economics, Elsevier, vol. 145(1), pages 268-280.
    2. Zhang C. W. & Xie M. & Goh T. N., 2005. "On Cumulative Conforming Type of Control Charts for High Quality Processes Under Sampling Inspection," Stochastics and Quality Control, De Gruyter, vol. 20(2), pages 205-222, January.
    3. Willem Albers, 2011. "Control charts for health care monitoring under overdispersion," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 74(1), pages 67-83, July.
    4. Ali, Sajid & Pievatolo, Antonio, 2018. "Time and magnitude monitoring based on the renewal reward process," Reliability Engineering and System Safety, Elsevier, vol. 179(C), pages 97-107.
    5. Huwang, Longcheen & Huang, Chun-Jung & Wang, Yi-Hua Tina, 2010. "New EWMA control charts for monitoring process dispersion," Computational Statistics & Data Analysis, Elsevier, vol. 54(10), pages 2328-2342, October.
    6. L Bessegato & R Quinino & L L Ho & L Duczmal, 2011. "Variable interval sampling in economical designs for online process control of attributes with misclassification errors," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 62(7), pages 1365-1375, July.
    7. Axel Gandy & Jan Terje Kvaløy, 2013. "Guaranteed Conditional Performance of Control Charts via Bootstrap Methods," Scandinavian Journal of Statistics, Danish Society for Theoretical Statistics;Finnish Statistical Society;Norwegian Statistical Association;Swedish Statistical Association, vol. 40(4), pages 647-668, December.
    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. Graham, M.A. & Mukherjee, A. & Chakraborti, S., 2012. "Distribution-free exponentially weighted moving average control charts for monitoring unknown location," Computational Statistics & Data Analysis, Elsevier, vol. 56(8), pages 2539-2561.
    10. Emura, Takeshi & Lin, Yi-Shuan, 2013. "A comparison of normal approximation rules for attribute control charts," MPRA Paper 51029, University Library of Munich, Germany.
    11. Hsing-Ming Chang & James C. Fu, 2022. "On Distribution and Average Run Length of a Two-Stage Control Process," Methodology and Computing in Applied Probability, Springer, vol. 24(4), pages 2723-2742, December.
    12. Shi, Wen & Kleijnen, Jack P.C. & Liu, Zhixue, 2014. "Factor screening for simulation with multiple responses: Sequential bifurcation," European Journal of Operational Research, Elsevier, vol. 237(1), pages 136-147.
    13. Emura, Takeshi & Lai, Ching-Chieh & Sun, Li-Hsien, 2023. "Change point estimation under a copula-based Markov chain model for binomial time series," Econometrics and Statistics, Elsevier, vol. 28(C), pages 120-137.
    14. Yingjie Duan & Hong Ni & Xiaoyong Zhu, 2022. "A Dynamic Cache Allocation Mechanism (DCAM) for Reliable Multicast in Information-Centric Networking," Future Internet, MDPI, vol. 14(4), pages 1-15, March.
    15. Huang, Wenpo & Shu, Lianjie & Jiang, Wei, 2012. "Evaluation of exponentially weighted moving variance control chart subject to linear drifts," Computational Statistics & Data Analysis, Elsevier, vol. 56(12), pages 4278-4289.
    16. Wang, Hsiuying & Huwang, Longcheen & Yu, Jeng Hung, 2015. "Multivariate control charts based on the James–Stein estimator," European Journal of Operational Research, Elsevier, vol. 246(1), pages 119-127.
    17. Chi-Shuan Liu & Fang-Chih Tien, 2011. "A single-featured EWMA- X control chart for detecting shifts in process mean and standard deviation," Journal of Applied Statistics, Taylor & Francis Journals, vol. 38(11), pages 2575-2596, January.
    18. Johannssen, Arne & Chukhrova, Nataliya & Castagliola, Philippe, 2022. "The performance of the hypergeometric np chart with estimated parameter," European Journal of Operational Research, Elsevier, vol. 296(3), pages 873-899.
    19. Gordon Ross & Dimitris Tasoulis & Niall Adams, 2013. "Sequential monitoring of a Bernoulli sequence when the pre-change parameter is unknown," Computational Statistics, Springer, vol. 28(2), pages 463-479, April.
    20. 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.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:ejores:v:233:y:2014:i:3:p:595-603. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/eor .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.