IDEAS home Printed from https://ideas.repec.org/a/ids/ijpqma/v4y2009i3p247-282.html
   My bibliography  Save this article

Minimum loss design of asymmetric X and S control charts under two independent Weibull shocks

Author

Listed:
  • Su-Fen Yang
  • M.A. Rahim

Abstract

This paper proposes a minimum loss cost model for the joint economic design of an x-bar chart and an s-control chart for monitoring both the process mean and process variance simultaneously. The process is subject to the occurrences of two independent Weibull shocks each having increasing failure rates. One shock shifts the process mean and the other shock changes the process variance. When the failure mechanism obeys a Weibull shock model, the length of the sampling interval should vary with the age of the system. This approach is more appropriate than the traditional uniform sampling approach to keep the length of sampling intervals constant. The loss cost model, including an asymmetric quadratic loss function, emphasises the importance of continuously reducing performance variation and overcomes the difficulty in estimating various quality costs. Application of the proposed model is demonstrated through numerical examples.

Suggested Citation

  • Su-Fen Yang & M.A. Rahim, 2009. "Minimum loss design of asymmetric X and S control charts under two independent Weibull shocks," International Journal of Productivity and Quality Management, Inderscience Enterprises Ltd, vol. 4(3), pages 247-282.
    • Handle: RePEc:ids:ijpqma:v:4:y:2009:i:3:p:247-282
    as

    Download full text from publisher

    File URL: http://www.inderscience.com/link.php?id=23697
    Download Restriction: Access to full text is restricted to subscribers.
    ---><---

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

    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:ids:ijpqma:v:4:y:2009:i:3:p:247-282. 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: Sarah Parker (email available below). General contact details of provider: http://www.inderscience.com/browse/index.php?journalID=177 .

    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.