IDEAS home Printed from https://ideas.repec.org/a/taf/lstaxx/v47y2018i2p493-507.html
   My bibliography  Save this article

Capability index-based control chart for monitoring process mean using repetitive sampling

Author

Listed:
  • Olatunde A. Adeoti
  • John O. Olaomi

Abstract

A new process capability index (PCI) control chart for monitoring the process mean using repetitive sampling is presented. The design of the proposed control chart is based on an unbiased estimator σ^=s‾c4$\hat{\sigma } = \frac{{\bar{s}}}{{{c_4}}}$ of the process standard deviation for a normally distributed quality characteristic. The formulae for the in-control and out-of-control average run length and the standard deviation of the run length (SDRL) are derived. Tables of in-control and out-of-control average run length (ARL) and SDRL for various shifts, δ are presented. The proposed control chart outperforms existing control chart in detecting relatively small process mean shifts in terms of ARLs and SDRLs. Numerical example is presented to demonstrate the application of the proposed chart.

Suggested Citation

  • Olatunde A. Adeoti & John O. Olaomi, 2018. "Capability index-based control chart for monitoring process mean using repetitive sampling," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 47(2), pages 493-507, January.
    • Handle: RePEc:taf:lstaxx:v:47:y:2018:i:2:p:493-507
    DOI: 10.1080/03610926.2017.1307401
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1080/03610926.2017.1307401
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1080/03610926.2017.1307401?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.

    Citations

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


    Cited by:

    1. Rajesh Saha & Abdullahil Azeem & Kazi Wahadul Hasan & Syed Mithun Ali & Sanjoy Kumar Paul, 2021. "Integrated economic design of quality control and maintenance management: Implications for managing manufacturing process," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 12(2), pages 263-280, April.

    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:lstaxx:v:47:y:2018:i:2:p:493-507. 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.

    We have no bibliographic references for this item. You can help adding them by using 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/lsta .

    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.