IDEAS home Printed from https://ideas.repec.org/a/spr/annopr/v349y2025i1d10.1007_s10479-024-06065-7.html
   My bibliography  Save this article

Optimization problems and maintenance policy for a parallel computing system with dependent components

Author

Listed:
  • Junyuan Wang

    (Nanjing University of Aeronautics and Astronautics
    China Jiliang University)

  • Lubing Wang

    (Nanjing University of Aeronautics and Astronautics)

  • Xufeng Zhao

    (Nanjing University of Aeronautics and Astronautics
    Wenzhou University)

  • Zhouqian Miao

    (China Jiliang University)

Abstract

This paper proposes the generalized maintenance policies for a computing system when the copula functions model the interdependency. In this paper, the dependence between the components has been modeled by three copula functions. We deal with random maintenance policies for repairable parallel systems with n dependent or independent components. Firstly, we discuss the maintenance first and last policies for parallel systems composed of dependent components. We consider the random maintenance policy for parallel systems that are dependent and attempt to find the optimal maintenance time by considering the copula framework. The expected cost rate is considered as objective function to minimize. For each policy, the optimal maintenance time that minimizes the mean cost rate is analyzed and discussed numerically. And we study the effects of model parameters on the optimal maintenance policy and compare the copula. The findings of the paper extend the results in the literature from system with independent components to dependent components. Numerical results are presented for components lifetime follow Weilbull distribution. Therefore manager can use the results to formulate the optimal decision problem of their parallel systems with dependent components.

Suggested Citation

  • Junyuan Wang & Lubing Wang & Xufeng Zhao & Zhouqian Miao, 2025. "Optimization problems and maintenance policy for a parallel computing system with dependent components," Annals of Operations Research, Springer, vol. 349(1), pages 339-364, June.
    • Handle: RePEc:spr:annopr:v:349:y:2025:i:1:d:10.1007_s10479-024-06065-7
    DOI: 10.1007/s10479-024-06065-7
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s10479-024-06065-7
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1007/s10479-024-06065-7?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.

    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:spr:annopr:v:349:y:2025:i:1:d:10.1007_s10479-024-06065-7. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.