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Optimally maintaining a multi-state system with limited imperfect preventive repairs

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  • Hongdong Fan
  • Zhe Xu
  • Shiwei Chen

Abstract

In this paper, the optimal maintenance policy for a multi-state system with no observation is considered. Different from most existing works, only a limited number of imperfect preventive maintenance actions can be performed between two successive replacements. Assume that the system's deterioration state cannot be observed during its operation expected after each replacement, and it evolves as a discrete-time Markov chain with a finite state space. After choosing the information state as state variable, the problem is then formulated as a Markov decision process over the infinite time horizon. In order to increase the computational efficiency, several key structural properties are developed by minimising the total expected cost per unit time. The existence of the optimal threshold-type maintenance policy is proved and the monotonicity of the threshold is obtained. Finally, a numerical example is given to illustrate the optimal policy.

Suggested Citation

  • Hongdong Fan & Zhe Xu & Shiwei Chen, 2015. "Optimally maintaining a multi-state system with limited imperfect preventive repairs," International Journal of Systems Science, Taylor & Francis Journals, vol. 46(10), pages 1729-1740, July.
    • Handle: RePEc:taf:tsysxx:v:46:y:2015:i:10:p:1729-1740
    DOI: 10.1080/00207721.2013.828799
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    Cited by:

    1. Delia Montoro-Cazorla & Rafael Pérez-Ocón, 2022. "Analysis of k-Out-of-N-Systems with Different Units under Simultaneous Failures: A Matrix-Analytic Approach," Mathematics, MDPI, vol. 10(11), pages 1-13, June.

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