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Reliability of a two‐dimensional demand‐based networked system with multistate components

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  • Hui Xiao
  • Kunxiang Yi
  • Gang Kou
  • Liudong Xing

Abstract

Existing research on multistate system reliability has mainly focused on one‐dimensional systems such as parallel systems, linear sliding window systems, and linearly consecutively connected systems. However, two‐dimensional networked systems widely exist in real‐world applications such as lighting systems, monitoring systems, and computer network systems. This research considers a two‐dimensional networked system consisting of multistate components. The system fails if the cumulative performance of any row or any column cannot meet a predetermined demand. A novel reliability evaluation algorithm is proposed for the considered two‐dimensional networked system by extending the universal generating function technique. Furthermore, the proposed model and reliability evaluation algorithm are extended to a two‐dimensional networked system with phased missions. The proposed models and algorithms are illustrated by a matrix heating system in a thermoforming machine.

Suggested Citation

  • Hui Xiao & Kunxiang Yi & Gang Kou & Liudong Xing, 2020. "Reliability of a two‐dimensional demand‐based networked system with multistate components," Naval Research Logistics (NRL), John Wiley & Sons, vol. 67(6), pages 453-468, September.
    • Handle: RePEc:wly:navres:v:67:y:2020:i:6:p:453-468
    DOI: 10.1002/nav.21922
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    1. Peng, Rui & Zhai, Qingqing & Xing, Liudong & Yang, Jun, 2014. "Reliability of demand-based phased-mission systems subject to fault level coverage," Reliability Engineering and System Safety, Elsevier, vol. 121(C), pages 18-25.
    2. Suprasad V. Amari & Chaonan Wang & Liudong Xing & Rahamat Mohammad, 2018. "An efficient phased-mission reliability model considering dynamic k-out-of-n subsystem redundancy," IISE Transactions, Taylor & Francis Journals, vol. 50(10), pages 868-877, October.
    3. Chen, Anthony & Yang, Hai & Lo, Hong K. & Tang, Wilson H., 2002. "Capacity reliability of a road network: an assessment methodology and numerical results," Transportation Research Part B: Methodological, Elsevier, vol. 36(3), pages 225-252, March.
    4. Bai, Guanghan & Li, Yanjun & Fang, Yining & Zhang, Yun-An & Tao, Junyong, 2020. "Network approach for resilience evaluation of a UAV swarm by considering communication limits," Reliability Engineering and System Safety, Elsevier, vol. 193(C).
    5. 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.
    6. Levitin, Gregory & Xing, Liudong & Ben-Haim, Hanoch & Huang, Hong-Zong, 2019. "Dynamic demand satisfaction probability of consecutive sliding window systems with warm standby components," Reliability Engineering and System Safety, Elsevier, vol. 189(C), pages 397-405.
    7. Rubinovitz, J. & Levitin, G., 1995. "Genetic algorithm for assembly line balancing," International Journal of Production Economics, Elsevier, vol. 41(1-3), pages 343-354, October.
    8. Compare, Michele & Bellani, Luca & Zio, Enrico, 2019. "Optimal allocation of prognostics and health management capabilities to improve the reliability of a power transmission network," Reliability Engineering and System Safety, Elsevier, vol. 184(C), pages 164-180.
    9. Yiying Zhang & Peng Zhao, 2019. "Optimal allocation of minimal repairs in parallel and series systems," Naval Research Logistics (NRL), John Wiley & Sons, vol. 66(6), pages 517-526, September.
    10. 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.
    11. Yan, Xiangbin & Qiu, Hui & Peng, Rui & Wu, Shaomin, 2020. "Optimal configuration of a power grid system with a dynamic performance sharing mechanism," Reliability Engineering and System Safety, Elsevier, vol. 193(C).
    12. Piao Chen & Zhi‐Sheng Ye & Xun Xiao, 2019. "Pairwise model discrimination with applications in lifetime distributions and degradation processes," Naval Research Logistics (NRL), John Wiley & Sons, vol. 66(8), pages 675-686, December.
    13. Zhang, Fode & Ng, Hon Keung Tony & Shi, Yimin, 2020. "Mis-specification analysis of Wiener degradation models by using f-divergence with outliers," Reliability Engineering and System Safety, Elsevier, vol. 195(C).
    14. Xiao, Hui & Zhang, Yiyun & Xiang, Yisha & Peng, Rui, 2020. "Optimal design of a linear sliding window system with consideration of performance sharing," Reliability Engineering and System Safety, Elsevier, vol. 198(C).
    15. Rui Peng, 2019. "Optimal component allocation in a multi-state system with hierarchical performance sharing groups," Journal of the Operational Research Society, Taylor & Francis Journals, vol. 70(4), pages 581-587, April.
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