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Reliability analysis of cold-standby phased-mission system based on GO-FLOW methodology and the universal generating function

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  • Li, Jingkui
  • Lu, Yuze
  • Liu, Xiaona
  • Jiang, Xiuhong

Abstract

Phased-mission system (PMS) with cold-standby systems play a critical role in various industrial engineering applications. However, the traditional GO-FLOW methodology is unable to effectively model cold-standby systems and perform complex system reliability calculations because it must deal with shared signals. To address this issue, a new operator for simulating the cold-standby system is created, and a reliability analysis model for the PMS with sequential operation and time continuation is proposed based on the GO-FLOW methodology and universal generating function (UGF). In this approach, the type-41 operator is created to model the cold-standby system of ‘One in Use and One for Standby with an uncertain changeover switch’. Furthermore, in the proposed analysis model, the applicability of the UGF to multi-state systems is used to obtain the expression of each operator. Through the intuitiveness of GO-FLOW model, the logical relationship between operators is obtained. The main advantage of the proposed model is that it avoids the need to deal with shared signals in the system reliability calculations. Finally, numerical examples of bulb and hydraulic systems are provided to illustrate the feasibility and accuracy of the proposed method. The proposed approach makes the GO-FLOW methodology more practical in a PMS with sequential operation and time continuation.

Suggested Citation

  • 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).
  • Handle: RePEc:eee:reensy:v:233:y:2023:i:c:s0951832023000406
    DOI: 10.1016/j.ress.2023.109125
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    References listed on IDEAS

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    1. Wang, Chaonan & Xing, Liudong & Peng, Rui & Pan, Zhusheng, 2017. "Competing failure analysis in phased-mission systems with multiple functional dependence groups," Reliability Engineering and System Safety, Elsevier, vol. 164(C), pages 24-33.
    2. Kim, Heungseob & Kim, Pansoo, 2017. "Reliability models for a nonrepairable system with heterogeneous components having a phase-type time-to-failure distribution," Reliability Engineering and System Safety, Elsevier, vol. 159(C), pages 37-46.
    3. Cheng, Chen & Yang, Jun & Li, Lei, 2021. "Reliability evaluation of a k-out-of-n(G)-subsystem based multi-state phased mission system with common bus performance sharing subjected to common cause failures," Reliability Engineering and System Safety, Elsevier, vol. 216(C).
    4. Joby K. Jose & Drisya M. & Manoharan M., 2022. "Estimation of stress-strength reliability using discrete phase type distribution," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 51(2), pages 368-386, January.
    5. Zhai, Qingqing & Xing, Liudong & Peng, Rui & Yang, Jun, 2018. "Aggregated combinatorial reliability model for non-repairable parallel phased-mission systems," Reliability Engineering and System Safety, Elsevier, vol. 176(C), pages 242-250.
    6. Li, Xiang-Yu & Huang, Hong-Zhong & Li, Yan-Feng, 2018. "Reliability analysis of phased mission system with non-exponential and partially repairable components," Reliability Engineering and System Safety, Elsevier, vol. 175(C), pages 119-127.
    7. Ruiz-Castro, Juan Eloy & Pérez-Ocón, Rafael & Fernández-Villodre, Gemma, 2008. "Modelling a reliability system governed by discrete phase-type distributions," Reliability Engineering and System Safety, Elsevier, vol. 93(11), pages 1650-1657.
    8. Jafary, Bentolhoda & Fiondella, Lance, 2016. "A universal generating function-based multi-state system performance model subject to correlated failures," Reliability Engineering and System Safety, Elsevier, vol. 152(C), pages 16-27.
    9. Eryilmaz, Serkan, 2015. "Dynamic assessment of multi-state systems using phase-type modeling," Reliability Engineering and System Safety, Elsevier, vol. 140(C), pages 71-77.
    10. Lisnianski, Anatoly & Ding, Yi, 2009. "Redundancy analysis for repairable multi-state system by using combined stochastic processes methods and universal generating function technique," Reliability Engineering and System Safety, Elsevier, vol. 94(11), pages 1788-1795.
    11. Liu, Baoliang & Cui, Lirong & Wen, Yanqing & Shen, Jingyuan, 2015. "A cold standby repairable system with working vacations and vacation interruption following Markovian arrival process," Reliability Engineering and System Safety, Elsevier, vol. 142(C), pages 1-8.
    12. Rui Peng & Qingqinq Zhai & Liudong Xing & Jun Yang, 2016. "Reliability analysis and optimal structure of series-parallel phased-mission systems subject to fault-level coverage," IISE Transactions, Taylor & Francis Journals, vol. 48(8), pages 736-746, August.
    13. 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.
    14. Gao, Guibing & Wang, Junshen & Yue, Wenhui & Ou, Wenchu, 2020. "Structural-vulnerability assessment of reconfigurable manufacturing system based on universal generating function," Reliability Engineering and System Safety, Elsevier, vol. 203(C).
    15. Wang, Zengkai & Zeng, Shengkui & Guo, Jianbin & Che, Haiyang, 2021. "A Bayesian network for reliability assessment of man-machine phased-mission system considering the phase dependencies of human cognitive error," Reliability Engineering and System Safety, Elsevier, vol. 207(C).
    16. Peng, Rui & Wu, Di & Xiao, Hui & Xing, Liudong & Gao, Kaiye, 2019. "Redundancy versus protection for a non-reparable phased-mission system subject to external impacts," Reliability Engineering and System Safety, Elsevier, vol. 191(C).
    17. Wang, Chaonan & Wang, Xiaolei & Xing, Liudong & Guan, Quanlong & Yang, Chunhui & Yu, Min, 2021. "A Fast and Accurate Reliability Approximation Method for Heterogeneous Cold Standby Sparing Systems," Reliability Engineering and System Safety, Elsevier, vol. 212(C).
    18. Gregory Levitin, 2005. "The Universal Generating Function in Reliability Analysis and Optimization," Springer Series in Reliability Engineering, Springer, number 978-1-84628-245-4, February.
    19. Zhou, Siwei & Ye, Luyao & Xiong, Shengwu & Xiang, Jianwen, 2022. "Reliability analysis of dynamic fault trees with Priority-AND gates based on irrelevance coverage model," Reliability Engineering and System Safety, Elsevier, vol. 224(C).
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    Cited by:

    1. Li, Jingkui & Liu, Xiaona & Lu, Yuze & Wang, Hanzheng, 2024. "Reliability analysis on energy storage system combining GO-FLOW methodology with GERT network," Reliability Engineering and System Safety, Elsevier, vol. 243(C).
    2. Wang, Chaonan & Xing, Liudong & Yu, Jingui & Guan, Quanlong & Yang, Chunhui & Yu, Min, 2023. "Phase reduction for efficient reliability analysis of dynamic k-out-of-n phased mission systems," Reliability Engineering and System Safety, Elsevier, vol. 237(C).

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