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A phase-type maintenance model considering condition-based inspections and maintenance delays

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  • Sun, Tianqi
  • Vatn, Jørn

Abstract

This paper proposes a maintenance model for systems subject to discrete-state deterioration processes. The deterioration of the system is described by the phase-type (PH) expansion of a multi-state Markov model, where the sojourn times at different states follow general distributions. In contrast to the periodic inspections and exponentially distributed repairs in most works, this study considers condition-based inspections and significant delays from planning a maintenance task until its actual implementation. These delays are usually due to logistic reasons and are considered close to deterministic. This allows the decision-makers to evaluate more flexible inspection strategies and move towards more cost-effective solutions. A case study about road bridge maintenance is presented to demonstrate the modelling process and the value of introducing PH distributions and condition-based inspections. With the proposed model, a less conservative maintenance strategy with fewer inspections and postponed repairs can be derived, bringing significant cost reductions.

Suggested Citation

  • Sun, Tianqi & Vatn, Jørn, 2024. "A phase-type maintenance model considering condition-based inspections and maintenance delays," Reliability Engineering and System Safety, Elsevier, vol. 243(C).
    • Handle: RePEc:eee:reensy:v:243:y:2024:i:c:s0951832023007500
    DOI: 10.1016/j.ress.2023.109836
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    References listed on IDEAS

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    1. Juybari, Mohammad N. & Hamadani, Ali Zeinal & Ardakan, Mostafa Abouei, 2023. "Availability analysis and cost optimization of a repairable system with a mix of active and warm-standby components in a shock environment," Reliability Engineering and System Safety, Elsevier, vol. 237(C).
    2. de Jonge, Bram, 2019. "Discretizing continuous-time continuous-state deterioration processes, with an application to condition-based maintenance optimization," Reliability Engineering and System Safety, Elsevier, vol. 188(C), pages 1-5.
    3. Wang, Xiaoyue & Zhao, Xian & Wu, Congshan & Wang, Siqi, 2022. "Mixed shock model for multi-state weighted k-out-of-n: F systems with degraded resistance against shocks," Reliability Engineering and System Safety, Elsevier, vol. 217(C).
    4. Fauriat, William & Zio, Enrico, 2020. "Optimization of an aperiodic sequential inspection and condition-based maintenance policy driven by value of information," Reliability Engineering and System Safety, Elsevier, vol. 204(C).
    5. Cui, Lirong & Wu, Bei, 2019. "Extended Phase-type models for multistate competing risk systems," Reliability Engineering and System Safety, Elsevier, vol. 181(C), pages 1-16.
    6. Bo Henry Lindqvist & Susanne Hodneland Kjølen, 2018. "Phase-Type Models and Their Extension to Competing Risks," Springer Series in Reliability Engineering, in: Anatoly Lisnianski & Ilia Frenkel & Alex Karagrigoriou (ed.), Recent Advances in Multi-state Systems Reliability, pages 107-120, Springer.
    7. Wang, Liying & Song, Yushuang & Zhang, Wenhua & Ling, Xiaoliang, 2023. "Condition-based inspection, component reallocation and replacement optimization of two-component interchangeable series system," Reliability Engineering and System Safety, Elsevier, vol. 230(C).
    8. Wang, Weikai & Chen, Xian, 2023. "Piecewise deterministic Markov process for condition-based imperfect maintenance models," Reliability Engineering and System Safety, Elsevier, vol. 236(C).
    9. Hiroyuki Okamura & Tadashi Dohi, 2016. "Fitting Phase-Type Distributions and Markovian Arrival Processes: Algorithms and Tools," Springer Series in Reliability Engineering, in: Lance Fiondella & Antonio Puliafito (ed.), Principles of Performance and Reliability Modeling and Evaluation, pages 49-75, Springer.
    10. Jiang, Shan & Li, Yan-Fu, 2021. "Dynamic Reliability Assessment of Multi-cracked Structure under Fatigue Loading via Multi-State Physics Model," Reliability Engineering and System Safety, Elsevier, vol. 213(C).
    11. Alessio Angius & András Horváth & Marcello Urgo, 2021. "A Kronecker Algebra Formulation for Markov Activity Networks with Phase-Type Distributions," Mathematics, MDPI, vol. 9(12), pages 1-22, June.
    12. Yonit Barron, 2018. "Group maintenance policies for an R-out-of-N system with phase-type distribution," Annals of Operations Research, Springer, vol. 261(1), pages 79-105, February.
    13. Sarada, Y. & Shenbagam, R., 2021. "Optimization of a repairable deteriorating system subject to random threshold failure using preventive repair and stochastic lead time," Reliability Engineering and System Safety, Elsevier, vol. 205(C).
    14. Arismendi, Renny & Barros, Anne & Grall, Antoine, 2021. "Piecewise deterministic Markov process for condition-based maintenance models — Application to critical infrastructures with discrete-state deterioration," Reliability Engineering and System Safety, Elsevier, vol. 212(C).
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