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Optimal multiple replacement and maintenance scheduling in two-unit systems

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  • Levitin, Gregory
  • Xing, Liudong
  • Xiang, Yanping

Abstract

This paper models and optimizes the replacement and maintenance schedule (RMS) for a heterogeneous two-unit standby system. The system must accomplish a specified amount of work for a successful mission. When one unit executes the specified mission task, the other unit undergoes a certain type of maintenance based on the RMS, followed by staying in a warm standby mode if its next activation time is not up. The mission fails if both units fail before the task completion, or if one unit fails while the other one undergoes maintenance and thus is not ready to be activated and take over the task timely. A probabilistic model-based method is proposed to evaluate the mission success probability (MSP) of the considered system that may undergo multiple preventive replacements and different types of maintenance actions during the mission. The optimal RMS problem is then formulated and solved, which determines durations of operation periods of the activated unit and types of maintenance actions performed by the inactivated unit during its idle time for maximizing the MSP. A detailed case study on an oil transfer system with two heterogeneous pumps is provided to illustrate the proposed methodology and influences of multiple model parameters on the optimal RMS and corresponding MSP.

Suggested Citation

  • Levitin, Gregory & Xing, Liudong & Xiang, Yanping, 2021. "Optimal multiple replacement and maintenance scheduling in two-unit systems," Reliability Engineering and System Safety, Elsevier, vol. 213(C).
    • Handle: RePEc:eee:reensy:v:213:y:2021:i:c:s0951832021003264
    DOI: 10.1016/j.ress.2021.107803
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    References listed on IDEAS

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    Cited by:

    1. Levitin, Gregory & Xing, Liudong & Dai, Yanshun, 2021. "Joint optimal mission aborting and replacement and maintenance scheduling in dual-unit standby systems," Reliability Engineering and System Safety, Elsevier, vol. 216(C).
    2. Wang, Siqi & Zhao, Xian & Wu, Congshan & Wang, Xiaoyue, 2023. "Joint optimization of multi-stage component reassignment and preventive maintenance for balanced systems considering imperfect maintenance," Reliability Engineering and System Safety, Elsevier, vol. 237(C).
    3. Chen, Liwei & Cheng, Chunchun & Dui, Hongyan & Xing, Liudong, 2022. "Maintenance cost-based importance analysis under different maintenance strategies," Reliability Engineering and System Safety, Elsevier, vol. 222(C).
    4. Levitin, Gregory & Xing, Liudong & Dai, Yuanshun, 2021. "Influence of storage on mission success probability of m-out-of-n standby systems with reusable elements," Reliability Engineering and System Safety, Elsevier, vol. 216(C).
    5. Levitin, Gregory & Xing, Liudong & Dai, Yanshun, 2022. "Minimum cost replacement and maintenance scheduling in dual-dissimilar-unit standby systems," Reliability Engineering and System Safety, Elsevier, vol. 218(PA).
    6. Dui, Hongyan & Zhang, Songru & Dong, Xinghui & Wu, Shaomin, 2025. "Digital twin-enhanced opportunistic maintenance of smart microgrids based on the risk importance measure," Reliability Engineering and System Safety, Elsevier, vol. 253(C).
    7. Dui, Hongyan & Zhang, Chi & Tian, Tianzi & Wu, Shaomin, 2022. "Different costs-informed component preventive maintenance with system lifetime changes," Reliability Engineering and System Safety, Elsevier, vol. 228(C).
    8. Wang, Jiantai & Ma, Xiaobing & Yang, Li & Qiu, Qingan & Shang, Lijun & Wang, Jingjing, 2024. "A hybrid inspection-replacement policy for multi-stage degradation considering imperfect inspection with variable probabilities," Reliability Engineering and System Safety, Elsevier, vol. 241(C).
    9. Chen, Rentong & Zhang, Chao & Wang, Shaoping & Zio, Enrico & Dui, Hongyan & Zhang, Yadong, 2023. "Importance measures for critical components in complex system based on Copula Hierarchical Bayesian Network," Reliability Engineering and System Safety, Elsevier, vol. 230(C).
    10. Dui, Hongyan & Zhang, Yulu & Bai, Guanghan, 2024. "Analysis of variable system cost and maintenance strategy in life cycle considering different failure modes," Reliability Engineering and System Safety, Elsevier, vol. 243(C).

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