IDEAS home Printed from https://ideas.repec.org/a/ids/ijpqma/v13y2014i2p235-250.html
   My bibliography  Save this article

Effect of warning limits on the performance of the X chart under autocorrelation

Author

Listed:
  • Sukhraj Singh
  • D.R. Prajapati

Abstract

X charts for variables are one of the outstanding charts of statistical quality control (SQC), used to detect larger shifts in the process mean. In actual practice, many processes are autocorrelated and if these charts are used, their performance is deteriorated. The performance of the chart is measured in terms of the average run length (ARL), which is the average number of samples before getting an out-of-control signal. The ARLs at various sets of parameters of the X chart are computed by simulation, using MATLAB. An attempt has been made to counter autocorrelation by designing the X chart using warning limits. Various optimal schemes are proposed for different levels of correlation (Φ). Moreover these optimal schemes of modified X chart are compared with Derman-Ross's (Derman and Ross, 1997) and Klein's (2000) schemes at various levels of correlation (Φ). It is concluded that the modified X scheme outperforms the Derman-Ross's (2 of 2) scheme.

Suggested Citation

  • Sukhraj Singh & D.R. Prajapati, 2014. "Effect of warning limits on the performance of the X chart under autocorrelation," International Journal of Productivity and Quality Management, Inderscience Enterprises Ltd, vol. 13(2), pages 235-250.
    • Handle: RePEc:ids:ijpqma:v:13:y:2014:i:2:p:235-250
    as

    Download full text from publisher

    File URL: http://www.inderscience.com/link.php?id=59175
    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:13:y:2014:i:2:p:235-250. 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.