IDEAS home Printed from https://ideas.repec.org/a/eee/oprepe/v4y2017icp29-38.html
   My bibliography  Save this article

Analysis of an k-out-of-n:G system with repairman’s single vacation and shut off rule

Author

Listed:
  • Zhang, Yuanyuan
  • Wu, Wenqing
  • Tang, Yinghui

Abstract

This paper considers an k-out-of-n:G repairable system with repairman’s single vacation and shut off rule where the working times and repair times of components follow exponential distributions, and the duration of the repairman’s vacation is governed by a phase type distribution. Further, continuous operation as shut off rule in this paper means that all the non-failed components are still subject to failure when the system is down. We derive the transient system availability, the rate of occurrence of failures at time t, the stationary availability, the stationary rate of occurrence of failures along with other system performance measures by using the Markov process theory and the matrix analytical method. Moreover, employing the probabilistic properties of the pH distribution, we deduce the system reliability, the mean time to the first failure of the system and the waiting time distribution of an arbitrary failed component. Based on this, we discuss the time-dependent behavior of the system performance measures under different initial system states. Finally, the Monte Carlo simulation and special cases of the system are provided to show the correctness of our results.

Suggested Citation

  • Zhang, Yuanyuan & Wu, Wenqing & Tang, Yinghui, 2017. "Analysis of an k-out-of-n:G system with repairman’s single vacation and shut off rule," Operations Research Perspectives, Elsevier, vol. 4(C), pages 29-38.
    • Handle: RePEc:eee:oprepe:v:4:y:2017:i:c:p:29-38
    DOI: 10.1016/j.orp.2017.02.002
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S2214716016301002
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.orp.2017.02.002?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. He, Gang & Wu, Wenqing & Zhang, Yuanyuan, 2018. "Analysis of a multi-component system with failure dependency, N-policy and vacations," Operations Research Perspectives, Elsevier, vol. 5(C), pages 191-198.
    2. Guo, Linhan & Li, Ruiyang & Wang, Yu & Yang, Jun & Liu, Yu & Chen, Yiming & Zhang, Jianguo, 2023. "Availability for multi-component k-out-of-n: G warm-standby system in series with shut-off rule of suspended animation," Reliability Engineering and System Safety, Elsevier, vol. 233(C).

    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:eee:oprepe:v:4:y:2017:i:c:p:29-38. 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: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/operations-research-perspectives .

    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.