A preventive replacement policy for a system subject to bivariate generalized Polya failure process

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Lee, Hyunju and Cha, Ji Hwan and Finkelstein, Maxim (2022) A preventive replacement policy for a system subject to bivariate generalized Polya failure process. Mathematics, 10 (11). 1833. ISSN 2227-7390 (https://doi.org/10.3390/math10111833)

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Abstract

Numerous studies on preventive maintenance of minimally repaired systems with statistically independent components have been reported in reliability literature. However, in practice, the repair can be worse-than-minimal and the components of a system can be statistically dependent. The existing literature does not cover this important in-practice setting. Therefore, our paper is the first to deal with these issues by modeling dependence in the bivariate set up when a system consists of two dependent parts. We employ the bivariate generalized Polya process to model the corresponding failure and repair process. Relevant stochastic properties of this process have been obtained in order to propose and further discuss the new optimal bivariate preventive maintenance policy with two decision parameters: age and operational history. Moreover, introducing these two parameters in the considered context is also a new feature of the study. Under the proposed policy, the long-run average cost rate is derived and the optimal replacement policies are investigated. Detailed numerical examples illustrate our findings and show the potential efficiency of the obtained results in practice.

  • Item type:Article
    ID code:81171
    Dates:
    Date
    Event
    26 May 2022
    Published
    23 May 2022
    Accepted
    14 April 2022
    Submitted
    Subjects:Science > Mathematics
    Department:Strathclyde Business School > Management Science
    Depositing user: Pure Administrator
    Date deposited:17 Jun 2022 05:39
    Last modified:11 Nov 2024 13:31
    URI:https://strathprints.strath.ac.uk/id/eprint/81171
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