IDEAS home Printed from https://ideas.repec.org/a/wly/apsmda/v14y1998i3p241-253.html
   My bibliography  Save this article

Hitting time in a finite non‐homogeneous Markov chain with applications

Author

Listed:
  • A. Platis
  • N. Limnios
  • M. Le Du

Abstract

This paper deals with the computation of the hitting time for a non‐homogeneous discrete time Markov chain (NHDTMC or NHMC). We first give the basic definitions of NHMC, then we analyse the hitting time and its survivor function. We also give the sufficient conditions for the existence of the mean hitting time. Finally, a numerical example and an application of this development in reliability evaluation are given in order to illustrate our results. © 1998 John Wiley & Sons, Ltd.

Suggested Citation

  • A. Platis & N. Limnios & M. Le Du, 1998. "Hitting time in a finite non‐homogeneous Markov chain with applications," Applied Stochastic Models and Data Analysis, John Wiley & Sons, vol. 14(3), pages 241-253, September.
    • Handle: RePEc:wly:apsmda:v:14:y:1998:i:3:p:241-253
    DOI: 10.1002/(SICI)1099-0747(199809)14:33.0.CO;2-3
    as

    Download full text from publisher

    File URL: https://doi.org/10.1002/(SICI)1099-0747(199809)14:33.0.CO;2-3
    Download Restriction: no
    File URL: https://libkey.io/10.1002/(SICI)1099-0747(199809)14:33.0.CO;2-3?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
    ---><---

    Citations

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


    Cited by:

    1. Jeffrey Kharoufeh & Steven Cox & Mark Oxley, 2013. "Reliability of manufacturing equipment in complex environments," Annals of Operations Research, Springer, vol. 209(1), pages 231-254, October.
    2. Kirytopoulos, Konstantinos & Voulgaridou, Dimitra & Platis, Agapios & Leopoulos, Vrassidas, 2011. "An effective Markov based approach for calculating the Limit Matrix in the analytic network process," European Journal of Operational Research, Elsevier, vol. 214(1), pages 85-90, October.

    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:wly:apsmda:v:14:y:1998:i:3:p:241-253. 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: Wiley Content Delivery (email available below). General contact details of provider: https://doi.org/10.1002/(ISSN)1099-0747 .

    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.