IDEAS home Printed from https://ideas.repec.org/a/taf/tprsxx/v54y2016i11p3365-3379.html
   My bibliography  Save this article

The variable sampling interval S -super-2 chart with known or unknown in-control variance

Author

Listed:
  • Baocai Guo
  • Bing Xing Wang

Abstract

The chart has been known as a powerful tool to monitor the variability of the normal process. This paper considers the variable sampling interval (VSI) chart to improve the performance of the original chart. A VSI chart based on the average run length (ARL) unbiased and average time to signal (ATS) unbiased criteria is developed when the in-control variance is known. The performance of the proposed chart is investigated in terms of the mean and standard deviation of the RL and total time to signal. The impact of parameter estimation on the proposed VSI chart is also evaluated. The results show that the performance of the control chart is seriously different from the known parameter case when the parameter is estimated. Then, a new VSI chart with the desired in-control ARL and ATS is considered when the in-control variance is estimated. In evaluating the usefulness of the VSI feature, the VSI charts are compared with the fixed sampling interval (FSI) versions in terms of their statistical properties. The comparison results show that the VSI chart can detect the shifts in the process variance quicker than the corresponding FSI chart, regardless of whether the in-control variance is known or unknown. Finally, two examples are used to illustrate the proposed control chart.

Suggested Citation

  • Baocai Guo & Bing Xing Wang, 2016. "The variable sampling interval S -super-2 chart with known or unknown in-control variance," International Journal of Production Research, Taylor & Francis Journals, vol. 54(11), pages 3365-3379, June.
  • Handle: RePEc:taf:tprsxx:v:54:y:2016:i:11:p:3365-3379
    DOI: 10.1080/00207543.2015.1109720
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1080/00207543.2015.1109720
    Download Restriction: Access to full text is restricted to subscribers.

    File URL: https://libkey.io/10.1080/00207543.2015.1109720?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.

    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:54:y:2016:i:11:p:3365-3379. 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/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.