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Dynamic reliability and sensitivity analysis of weighted (k, r)-out-of-n cold standby system with multi-performance multi-state components

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  • Singh, Ayush
  • Singh, S.B.

Abstract

The standby multi-performance multi-state (MPMS) systems represent a significant advancement in reliability engineering, incorporating the diversity of multi-states and standby configurations. Unlike traditional binary systems, which classify the states as operational or failed, standby MPMS models consider multiple performance levels and states, capturing real-world scenarios where systems can operate at reduced capacities. This paper develops a comprehensive approach based on the Lz-transform to evaluate the dynamic reliability measures of a weighted (k, r)-out-of-n cold standby system incorporating maintenance and inspection techniques that emphasize MPMS components and their dynamic interconnections. The failed components are queued under the (M|M|1):(∞|FCFS) model to undergo repair or replacement following the inspection. In case of minor, semi-minor and semi-major failures, the components are repaired according to Erlang distributions, while major failures require replacement, which follows Weibull distributions. In the considered model, standby components take over their respective places when primary components fail, ensuring the system continues operating even after component failures. The reliability measures for the system, including reliability, availability, sensitivity, instantaneous mean expected performance and cost analysis have been determined. A case study on a solar thermal power (STP) system is presented to validate the proposed methodology, illustrating its practical implementation and effectiveness.

Suggested Citation

  • Singh, Ayush & Singh, S.B., 2025. "Dynamic reliability and sensitivity analysis of weighted (k, r)-out-of-n cold standby system with multi-performance multi-state components," Reliability Engineering and System Safety, Elsevier, vol. 262(C).
    • Handle: RePEc:eee:reensy:v:262:y:2025:i:c:s0951832025004223
    DOI: 10.1016/j.ress.2025.111221
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    References listed on IDEAS

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    1. Anatoly Lisnianski, 2012. "L z -Transform for a Discrete-State Continuous-Time Markov Process and its Applications to Multi-State System Reliability," Springer Series in Reliability Engineering, in: Anatoly Lisnianski & Ilia Frenkel (ed.), Recent Advances in System Reliability, chapter 0, pages 79-95, Springer.
    2. Levitin, Gregory & Xing, Liudong & Dai, Yuanshun, 2025. "Optimal operation and maintenance scheduling in generalized repairable m-out-of-n standby systems with common shocks," Reliability Engineering and System Safety, Elsevier, vol. 260(C).
    3. Wang, Chaonan & Wang, Xiaolei & Xing, Liudong & Guan, Quanlong & Yang, Chunhui & Yu, Min, 2023. "Efficient reliability approximation for large k-out-of-n cold standby systems with position-dependent component lifetime distributions," Reliability Engineering and System Safety, Elsevier, vol. 240(C).
    4. Wu, Congshan & Zhao, Xian & Wang, Siqi & Song, Yanbo, 2025. "Reliability analysis of weighted k-out-of-n: G performance sharing systems with multiple transmission loss levels," Reliability Engineering and System Safety, Elsevier, vol. 257(PA).
    5. Li, Jingkui & Lu, Yuze & Liu, Xiaona & Jiang, Xiuhong, 2023. "Reliability analysis of cold-standby phased-mission system based on GO-FLOW methodology and the universal generating function," Reliability Engineering and System Safety, Elsevier, vol. 233(C).
    6. Yan Li & Jiaqi Niu & Mengxue Xing & Jinzhi Chen, 2024. "Reliability modeling of weighted-k-out-of-n: G system under multiple failure modes with dependent components," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 53(13), pages 4880-4897, July.
    7. Chen, Guizhuang & Hu, Yuliang & Wang, Chaonan & Wu, Zhitao & Rong, Wenjing & Guan, Quanlong, 2025. "Efficient reliability analysis of generalized k-out-of-n phased-mission systems," Reliability Engineering and System Safety, Elsevier, vol. 253(C).
    8. Vaibhav Bisht & S. B. Singh, 2022. "Reliability Analysis of 8 × 8 SEN- Using UGF Method," Springer Series in Reliability Engineering, in: Mangey Ram & Hoang Pham (ed.), Reliability and Maintainability Assessment of Industrial Systems, pages 329-342, Springer.
    9. Hu, Yishuang & Ding, Yi & Bao, Minglei, 2024. "An efficient reliability evaluation method for large-scale multi-performance multi-state series-parallel systems considering multi-dimensional approximation," Reliability Engineering and System Safety, Elsevier, vol. 252(C).
    10. Negi, Seema & Singh, S.B., 2015. "Reliability analysis of non-repairable complex system with weighted subsystems connected in series," Applied Mathematics and Computation, Elsevier, vol. 262(C), pages 79-89.
    11. Lin, Zhixian & Tao, Longlong & Wang, Shaoxuan & Yong, Nuo & Xia, Dongqin & Wang, Jianye & Ge, Daochuan, 2024. "A subset simulation analysis framework for rapid reliability evaluation of series-parallel cold standby systems," Reliability Engineering and System Safety, Elsevier, vol. 241(C).
    12. Anatoly Lisnianski & Ilia Frenkel & Lev Khvatskin, 2021. "Modern Dynamic Reliability Analysis for Multi-state Systems," Springer Series in Reliability Engineering, Springer, number 978-3-030-52488-3, March.
    13. Ding, Yi & Hu, Yishuang & Li, Daqing, 2021. "Redundancy Optimization for Multi-Performance Multi-State Series-Parallel Systems Considering Reliability Requirements," Reliability Engineering and System Safety, Elsevier, vol. 215(C).
    14. Zhang, Yiying, 2021. "Reliability Analysis of Randomly Weighted k-out-of-n Systems with Heterogeneous Components," Reliability Engineering and System Safety, Elsevier, vol. 205(C).
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