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Reliability evaluation of linear multi-state consecutively-connected systems constrained by m consecutive and n total gaps

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  • Yu, Huan
  • Yang, Jun
  • Peng, Rui
  • Zhao, Yu

Abstract

This paper extends the linear multi-state consecutively-connected system (LMCCS) to the case of LMCCS-MN, where MN denotes the dual constraints of m consecutive gaps and n total gaps. All the nodes are distributed along a line and form a sequence. The distances between the adjacent nodes are usually non-uniform. The nodes except the last one can contain statistically independent multi-state connection elements (MCEs). Each MCE can provide a connection between the node at which it is located and the next nodes along the sequence. The LMCCS-MN fails if it meets either of the two constraints. The universal generating function technique is adopted to evaluate the system reliability. The optimal allocations of LMCCS-MN with two different types of failures are solved by genetic algorithm. Finally, two examples are given for the demonstration of the proposed model.

Suggested Citation

  • Yu, Huan & Yang, Jun & Peng, Rui & Zhao, Yu, 2016. "Reliability evaluation of linear multi-state consecutively-connected systems constrained by m consecutive and n total gaps," Reliability Engineering and System Safety, Elsevier, vol. 150(C), pages 35-43.
    • Handle: RePEc:eee:reensy:v:150:y:2016:i:c:p:35-43
    DOI: 10.1016/j.ress.2016.01.010
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    References listed on IDEAS

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    Cited by:

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    3. Jun Wang & Yuyang Wang & Yuqiang Fu, 2023. "Joint Optimization of Condition-Based Maintenance and Performance Control for Linear Multi-State Consecutively Connected Systems," Mathematics, MDPI, vol. 11(12), pages 1-19, June.
    4. Patricia Pascual-Ortigosa & Eduardo Sáenz-de-Cabezón, 2021. "Algebraic Analysis of Variants of Multi-State k -out-of- n Systems," Mathematics, MDPI, vol. 9(17), pages 1-15, August.
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    7. Huan Yu & Jun Yang & Yu Zhao, 2018. "Reliability of nonrepairable phased-mission systems with common bus performance sharing," Journal of Risk and Reliability, , vol. 232(6), pages 647-660, December.
    8. 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).
    9. Levitin, Gregory & Xing, Liudong & Dai, Yuanshun, 2018. "Connectivity evaluation and optimal service centers allocation in repairable linear consecutively connected systems," Reliability Engineering and System Safety, Elsevier, vol. 176(C), pages 187-193.

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