IDEAS home Printed from https://ideas.repec.org/a/ids/ijmore/v14y2019i4p568-589.html
   My bibliography  Save this article

On phase type arithmetico-geometric process and its application to deteriorating systems with warranty

Author

Listed:
  • Y. Sarada
  • R. Shenbagam

Abstract

This research article makes an attempt to introduce a phase type arithmetico-geometric process and illustrate its applicability to a deteriorating system with fixed warranty. Properties, renewal function, second moment and variance of the underlying counting process are derived analytically and supplemented numerically in the case of three distributions: exponential, Erlang distribution of order 3 and Coxian distribution of order 2. Sensitivity analysis and graphical illustrations are provided to highlight the effect of various cost parameters on the expected warranty cost by means of the Exponential and Erlang distribution of order 2.

Suggested Citation

  • Y. Sarada & R. Shenbagam, 2019. "On phase type arithmetico-geometric process and its application to deteriorating systems with warranty," International Journal of Mathematics in Operational Research, Inderscience Enterprises Ltd, vol. 14(4), pages 568-589.
    • Handle: RePEc:ids:ijmore:v:14:y:2019:i:4:p:568-589
    as

    Download full text from publisher

    File URL: http://www.inderscience.com/link.php?id=100740
    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:ijmore:v:14:y:2019:i:4:p:568-589. 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=320 .

    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.