IDEAS home Printed from https://ideas.repec.org/a/taf/tprsxx/v55y2017i19p5521-5536.html
   My bibliography  Save this article

A variable sampling interval Shewhart control chart for monitoring the coefficient of variation in short production runs

Author

Listed:
  • Asma Amdouni
  • Philippe Castagliola
  • Hassen Taleb
  • Giovanni Celano

Abstract

Monitoring the coefficient of variation (CV) allows process monitoring to be performed when both the process mean and the standard deviation are not constant but, nevertheless, proportional. Until now, few research papers have investigated the monitoring of the CV in a short production run context. This paper investigates the design and implementation of a Variable Sampling Interval Shewhart control chart to monitor the coefficient of variation in a short production run context. Formulas for the truncated average time to signal are derived and a performance comparison is carried out with a Fixed Sampling Rate Shewhart chart monitoring the CV. An example illustrates the use of this chart on real industrial data.

Suggested Citation

  • Asma Amdouni & Philippe Castagliola & Hassen Taleb & Giovanni Celano, 2017. "A variable sampling interval Shewhart control chart for monitoring the coefficient of variation in short production runs," International Journal of Production Research, Taylor & Francis Journals, vol. 55(19), pages 5521-5536, October.
    • Handle: RePEc:taf:tprsxx:v:55:y:2017:i:19:p:5521-5536
    DOI: 10.1080/00207543.2017.1285076
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1080/00207543.2017.1285076
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1080/00207543.2017.1285076?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. Shaul P. Ladany, 1973. "Optimal Use of Control Charts for Controlling Current Production," Management Science, INFORMS, vol. 19(7), pages 763-772, March.
    2. Joel M. Calabrese, 1995. "Bayesian Process Control for Attributes," Management Science, INFORMS, vol. 41(4), pages 637-645, April.
    3. Tagaras, George, 1996. "Dynamic control charts for finite production runs," European Journal of Operational Research, Elsevier, vol. 91(1), pages 38-55, May.
    4. Shaul P. Ladany & Dina N. Bedi, 1976. "Selection of the optimal setup policy," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 23(2), pages 219-233, June.
    5. Nenes, George & Tagaras, George, 2007. "The economically designed two-sided Bayesian control chart," European Journal of Operational Research, Elsevier, vol. 183(1), pages 263-277, November.
    6. Reh, Wolfgang & Scheffler, Bernard, 1996. "Significance tests and confidence intervals for coefficients of variation," Computational Statistics & Data Analysis, Elsevier, vol. 22(4), pages 449-452, August.
    7. George Tagaras & Yiannis Nikolaidis, 2002. "Comparing the Effectiveness of Various Bayesian X̄ Control Charts," Operations Research, INFORMS, vol. 50(5), pages 878-888, October.
    8. George Nenes & Philippe Castagliola & Giovanni Celano & Sofia Panagiotidou, 2014. "The variable sampling interval control chart for finite-horizon processes," IISE Transactions, Taylor & Francis Journals, vol. 46(10), pages 1050-1065, October.
    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. Tomohiro, Ryosuke & Arizono, Ikuo & Takemoto, Yasuhiko, 2020. "Economic design of double sampling Cpm control chart for monitoring process capability," International Journal of Production Economics, Elsevier, vol. 221(C).
    2. Nasir Abbas & Mu’azu Ramat Abujiya & Muhammad Riaz & Tahir Mahmood, 2020. "Cumulative Sum Chart Modeled under the Presence of Outliers," Mathematics, MDPI, vol. 8(2), pages 1-30, February.

    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. Mahfuza Khatun & Michael B.C. Khoo & Sajal Saha & Philippe Castagliola, 2021. "A new distribution‐free adaptive sample size control chart for a finite production horizon and its application in monitoring fill volume of soft drink beverage bottles," Applied Stochastic Models in Business and Industry, John Wiley & Sons, vol. 37(1), pages 84-97, January.
    2. Jue Wang & Chi-Guhn Lee, 2015. "Multistate Bayesian Control Chart Over a Finite Horizon," Operations Research, INFORMS, vol. 63(4), pages 949-964, August.
    3. Shoshana Anily & Abraham Grosfeld-Nir, 2006. "An Optimal Lot-Sizing and Offline Inspection Policy in the Case of Nonrigid Demand," Operations Research, INFORMS, vol. 54(2), pages 311-323, April.
    4. Viliam Makis, 2008. "Multivariate Bayesian Control Chart," Operations Research, INFORMS, vol. 56(2), pages 487-496, April.
    5. Tagaras, George, 2017. "New indices for the evaluation of the statistical properties of Bayesian x¯ control charts for short runsAuthor-Name: Nikolaidis, Yiannis," European Journal of Operational Research, Elsevier, vol. 259(1), pages 280-292.
    6. Naderkhani, Farnoosh & Makis, Viliam, 2016. "Economic design of multivariate Bayesian control chart with two sampling intervals," International Journal of Production Economics, Elsevier, vol. 174(C), pages 29-42.
    7. Kampitsis, Dimitris & Panagiotidou, Sofia, 2022. "A Bayesian condition-based maintenance and monitoring policy with variable sampling intervals," Reliability Engineering and System Safety, Elsevier, vol. 218(PA).
    8. Nenes, George & Tagaras, George, 2007. "The economically designed two-sided Bayesian control chart," European Journal of Operational Research, Elsevier, vol. 183(1), pages 263-277, November.
    9. Amir Ahmadi-Javid & Mohsen Ebadi, 2017. "Economic Design of Memory-Type Control Charts: The Fallacy of the Formula Proposed by Lorenzen and Vance (1986)," Papers 1708.06160, arXiv.org.
    10. Makis, Viliam, 2009. "Multivariate Bayesian process control for a finite production run," European Journal of Operational Research, Elsevier, vol. 194(3), pages 795-806, May.
    11. Barry R. Cobb, 2021. "Statistical Process Control for the Number of Defectives with Limited Memory," Decision Analysis, INFORMS, vol. 18(3), pages 203-217, September.
    12. Perdikis, Theodoros & Celano, Giovanni & Chakraborti, Subhabrata, 2024. "Distribution-free control charts for monitoring scale in finite horizon productions," European Journal of Operational Research, Elsevier, vol. 314(3), pages 1040-1051.
    13. Jue Wang, 2016. "Minimizing the false alarm rate in systems with transient abnormality," Naval Research Logistics (NRL), John Wiley & Sons, vol. 63(4), pages 320-334, June.
    14. George Tagaras & Yiannis Nikolaidis, 2002. "Comparing the Effectiveness of Various Bayesian X̄ Control Charts," Operations Research, INFORMS, vol. 50(5), pages 878-888, October.
    15. Rui Jiang & Michael Kim & Viliam Makis, 2012. "A Bayesian model and numerical algorithm for CBM availability maximization," Annals of Operations Research, Springer, vol. 196(1), pages 333-348, July.
    16. Wooseung Jang & J. George Shanthikumar, 2002. "Stochastic allocation of inspection capacity to competitive processes," Naval Research Logistics (NRL), John Wiley & Sons, vol. 49(1), pages 78-94, February.
    17. Pang, Wan Kai & Yu, Bosco Wing-Tong & Troutt, Marvin D. & Hou, Shui Hung, 2008. "A simulation-based approach to the study of coefficient of variation of dividend yields," European Journal of Operational Research, Elsevier, vol. 189(2), pages 559-569, September.
    18. Ho, Linda Lee & Trindade, Anderson Laécio Galindo, 2009. "Economic design of an X chart for short-run production," International Journal of Production Economics, Elsevier, vol. 120(2), pages 613-624, August.
    19. Chenglong Li & Qin Su & Min Xie, 2016. "Economic modelling for statistical process control subject to a general quality deterioration," International Journal of Production Research, Taylor & Francis Journals, vol. 54(6), pages 1753-1770, March.
    20. Amir Ahmadi-Javid & Mohsen Ebadi, 2021. "Economic design of memory-type control charts: The fallacy of the formula proposed by Lorenzen and Vance (1986)," Computational Statistics, Springer, vol. 36(1), pages 661-690, March.

    More about this item

    Statistics

    Access and download statistics

    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:taf:tprsxx:v:55:y:2017:i:19:p:5521-5536. 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: Chris Longhurst (email available below). General contact details of provider: http://www.tandfonline.com/TPRS20 .

    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.