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Maintenance strategies for a queueing system with a standby equipment: An integrated approach using condition-based monitoring

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  • Luo, Zeyu
  • Lian, Zhaotong
  • Li, Jin
  • Yang, Zhixin

Abstract

This paper presents a comprehensive maintenance strategy for service systems by integrating condition-based maintenance (CBM) with queueing theory. The proposed strategy leverages real-time deterioration data to optimize server performance and reliability while balancing the costs of maintaining standby equipment and ordering new components. Our study develops an integrated maintenance model based on an M/M/1 queueing system, simulating performance degradation using condition monitoring data. This model determines the optimal reordering state for critical server equipment. Extensive numerical analyses validate its effectiveness, and a sensitivity analysis identifies key factors affecting cost and profitability. Key contributions include: (1) An integrated system model combining CBM and queueing theory to optimize maintenance strategies; (2) A computationally efficient Markov chain-based model that reduces complexity while maintaining accuracy; (3) Explicit formulas for performance metrics such as server availability, system reliability, and reorder lead time. The proposed model minimizes long-term average costs while maintaining high service availability and reliability, offering practical insights for improving maintenance efficiency across industries.

Suggested Citation

  • Luo, Zeyu & Lian, Zhaotong & Li, Jin & Yang, Zhixin, 2025. "Maintenance strategies for a queueing system with a standby equipment: An integrated approach using condition-based monitoring," Reliability Engineering and System Safety, Elsevier, vol. 263(C).
  • Handle: RePEc:eee:reensy:v:263:y:2025:i:c:s095183202500420x
    DOI: 10.1016/j.ress.2025.111219
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    References listed on IDEAS

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    1. Wang, Yukun & Gao, Weizheng & Li, Xiaopeng & Liu, Yiliu, 2024. "Joint optimization of performance-based contracting, condition-based maintenance and spare parts inventory for degrading production systems," Reliability Engineering and System Safety, Elsevier, vol. 243(C).
    2. Steven A. Lippman & Shaler Stidham, 1977. "Individual versus Social Optimization in Exponential Congestion Systems," Operations Research, INFORMS, vol. 25(2), pages 233-247, April.
    3. Naor, P, 1969. "The Regulation of Queue Size by Levying Tolls," Econometrica, Econometric Society, vol. 37(1), pages 15-24, January.
    4. Antonis Economou & Spyridoula Kanta, 2011. "Equilibrium customer strategies and social–profit maximization in the single‐server constant retrial queue," Naval Research Logistics (NRL), John Wiley & Sons, vol. 58(2), pages 107-122, March.
    5. Sheng Zhu & Jinting Wang & Bin Liu, 2020. "Equilibrium joining strategies in the Mn/G/1 queue with server breakdowns and repairs," Operational Research, Springer, vol. 20(4), pages 2163-2187, December.
    6. Zhigang Tian & Bairong Wu & Mingyuan Chen, 2014. "Condition-based maintenance optimization considering improving prediction accuracy," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 65(9), pages 1412-1422, September.
    7. Shi, Yue & Zhu, Weihang & Xiang, Yisha & Feng, Qianmei, 2020. "Condition-based maintenance optimization for multi-component systems subject to a system reliability requirement," Reliability Engineering and System Safety, Elsevier, vol. 202(C).
    8. Dong, Qinglai & Cui, Lirong, 2019. "A study on stochastic degradation process models under different types of failure Thresholds," Reliability Engineering and System Safety, Elsevier, vol. 181(C), pages 202-212.
    9. Walter, Gero & Flapper, Simme Douwe, 2017. "Condition-based maintenance for complex systems based on current component status and Bayesian updating of component reliability," Reliability Engineering and System Safety, Elsevier, vol. 168(C), pages 227-239.
    10. Guo, Pengfei & Sun, Wei & Wang, Yulan, 2011. "Equilibrium and optimal strategies to join a queue with partial information on service times," European Journal of Operational Research, Elsevier, vol. 214(2), pages 284-297, October.
    11. Melani, Arthur Henrique Andrade & Murad, Carlos Alberto & Caminada Netto, Adherbal & Souza, Gilberto Francisco Martha de & Nabeta, Silvio Ikuyo, 2018. "Criticality-based maintenance of a coal-fired power plant," Energy, Elsevier, vol. 147(C), pages 767-781.
    12. 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).
    13. Azizi, Fariba & Salari, Nooshin, 2023. "A novel condition-based maintenance framework for parallel manufacturing systems based on bivariate birth/birth–death processes," Reliability Engineering and System Safety, Elsevier, vol. 229(C).
    14. Wang, Jinting & Zhang, Feng, 2013. "Strategic joining in M/M/1 retrial queues," European Journal of Operational Research, Elsevier, vol. 230(1), pages 76-87.
    15. Rasmekomen, Nipat & Parlikad, Ajith Kumar, 2016. "Condition-based maintenance of multi-component systems with degradation state-rate interactions," Reliability Engineering and System Safety, Elsevier, vol. 148(C), pages 1-10.
    16. Hassin, Refael, 1986. "Consumer Information in Markets with Random Product Quality: The Case of Queues and Balking," Econometrica, Econometric Society, vol. 54(5), pages 1185-1195, September.
    17. Chakravarthy, Srinivas R. & Shruti, & Kulshrestha, Rakhee, 2020. "A queueing model with server breakdowns, repairs, vacations, and backup server," Operations Research Perspectives, Elsevier, vol. 7(C).
    18. Edelson, Noel M & Hildebrand, David K, 1975. "Congestion Tolls for Poisson Queuing Processes," Econometrica, Econometric Society, vol. 43(1), pages 81-92, January.
    19. Anatoly Nazarov & János Sztrik & Anna Kvach & Tamás Bérczes, 2019. "Asymptotic analysis of finite-source M/M/1 retrial queueing system with collisions and server subject to breakdowns and repairs," Annals of Operations Research, Springer, vol. 277(2), pages 213-229, June.
    20. Kamel Meziani & Fazia Rahmoune & Mohammed Said Radjef, 2022. "Service pricing and customer behaviour strategies of Stackelberg's equilibrium in an unobservable Markovian queue with unreliable server and delayed repairs," International Journal of Mathematics in Operational Research, Inderscience Enterprises Ltd, vol. 21(3), pages 281-304.
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