IDEAS home Printed from https://ideas.repec.org/a/wsi/apjorx/v24y2007i03ns0217595907001279.html
   My bibliography  Save this article

Maintenance Of Systems By Means Of Replacements And Repairs: The Case Of Phase-Type Distributions

Author

Listed:
  • DELIA MONTORO-CAZORLA

    (Department of Statistics and Operational Research, University of Jaén, Spain)

  • RAFAEL PÉREZ-OCÓN

    (Department of Statistics and Operational Research, University of Granada, Spain)

Abstract

We present two models for studying a system maintained by means of imperfect repairs before a replacement or a perfect repair is allowed. The operational and repair times follow phase-type distributions. Imperfect repair means that successive operational times decrease and successive repair times increase. Under these assumptions, models that govern the systems are Markov processes, whose structures are determined, and several performance measures are calculated in transient and stationary regime. These models extend other previously studied in the literature. The incorporation of phase-type distributions allows to apply the model to many other distributions. A numerical example illustrates the calculations and allows a comparison of the results.

Suggested Citation

  • Delia Montoro-Cazorla & Rafael Pérez-Ocón, 2007. "Maintenance Of Systems By Means Of Replacements And Repairs: The Case Of Phase-Type Distributions," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 24(03), pages 421-434.
    • Handle: RePEc:wsi:apjorx:v:24:y:2007:i:03:n:s0217595907001279
    DOI: 10.1142/S0217595907001279
    as

    Download full text from publisher

    File URL: http://www.worldscientific.com/doi/abs/10.1142/S0217595907001279
    Download Restriction: Access to full text is restricted to subscribers
    File URL: https://libkey.io/10.1142/S0217595907001279?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.

    Citations

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


    Cited by:

    1. Elena D. Soboleva, 2015. "Intrastate Ethnic Conflicts and External State Support of Ethnic Minorities in East Asia: Theoretical Perspectives," HSE Working papers WP BRP 18/IR/2015, National Research University Higher School of Economics.
    2. Miaomiao Yu & Yinghui Tang, 2024. "Analyze periodic inspection and replacement policy of a shock and wear model with phase-type inter-shock arrival times using roots method," Journal of Risk and Reliability, , vol. 238(2), pages 233-246, April.

    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:wsi:apjorx:v:24:y:2007:i:03:n:s0217595907001279. 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: Tai Tone Lim (email available below). General contact details of provider: http://www.worldscinet.com/apjor/apjor.shtml .

    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.