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Network reliability evaluation for multi-state computing networks considering demand as the non-integer type

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  • Huang, Cheng-Fu
  • Huang, Ding-Hsiang
  • Lin, Yi-Kuei

Abstract

A multi-state computing network (MSCN) consists of multi-state edges such that the performance levels of the MSCN might differ. Network reliability is concerned with the probability that the predetermined demand from multiple sources can be successfully transmitted through the network. One of the major methods for efficiently calculating network reliability is to generate all minimal capacity vectors (MCVs), which represents the minimal capacity required for each edge. Every MCV is transformed from the flow vectors satisfying predetermined demands based on the minimal paths (MPs). In general, the amount flows were set as integers for flow vector generation in previous studies. In fact, the amount of data might be the non-integer type (such as 2.4Gbps) in the practical data transmission. An algorithm with a new approach for flow vector generation is developed to efficiently deal with demand as the non-integer type with any transmission unit such that the search spaces of the flows are stable. The experimental results of numerical examples and a practical case show that the proposed algorithm is more effective and efficient than the approaches in the literature.

Suggested Citation

  • Huang, Cheng-Fu & Huang, Ding-Hsiang & Lin, Yi-Kuei, 2022. "Network reliability evaluation for multi-state computing networks considering demand as the non-integer type," Reliability Engineering and System Safety, Elsevier, vol. 219(C).
  • Handle: RePEc:eee:reensy:v:219:y:2022:i:c:s0951832021007043
    DOI: 10.1016/j.ress.2021.108226
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    References listed on IDEAS

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    1. Yeh, Wei-Chang & Hao, Zhifeng & Forghani-elahabad, Majid & Wang, Gai-Ge & Lin, Yih-Lon, 2021. "Novel Binary-Addition Tree Algorithm for Reliability Evaluation of Acyclic Multistate Information Networks," Reliability Engineering and System Safety, Elsevier, vol. 210(C).
    2. Yeh, Cheng-Ta, 2020. "A hybrid approach to solve a bi-objective optimization problem of a capacitated-flow network with a time factor," Reliability Engineering and System Safety, Elsevier, vol. 204(C).
    3. Yeh, Cheng-Ta, 2019. "An improved NSGA2 to solve a bi-objective optimization problem of multi-state electronic transaction network," Reliability Engineering and System Safety, Elsevier, vol. 191(C).
    4. Niu, Yi-Feng & Wan, Xiao-Yu & Xu, Xiu-Zhen & Ding, Dong, 2020. "Finding all multi-state minimal paths of a multi-state flow network via feasible circulations," Reliability Engineering and System Safety, Elsevier, vol. 204(C).
    5. Niu, Yi-Feng, 2021. "Performance measure of a multi-state flow network under reliability and maintenance cost considerations," Reliability Engineering and System Safety, Elsevier, vol. 215(C).
    6. Schäfer, Lukas & García, Sergio & Srithammavanh, Vassili, 2018. "Simplification of inclusion–exclusion on intersections of unions with application to network systems reliability," Reliability Engineering and System Safety, Elsevier, vol. 173(C), pages 23-33.
    7. Liu, Tao & Bai, Guanghan & Tao, Junyong & Zhang, Yun-An & Fang, Yining, 2021. "An improved bounding algorithm for approximating multistate network reliability based on state-space decomposition method," Reliability Engineering and System Safety, Elsevier, vol. 210(C).
    8. Guanghan Bai & Zhigang Tian & Ming J. Zuo, 2018. "Reliability evaluation of multistate networks: An improved algorithm using state-space decomposition and experimental comparison," IISE Transactions, Taylor & Francis Journals, vol. 50(5), pages 407-418, May.
    9. Cheng-Fu Huang, 2019. "Evaluation of system reliability for a stochastic delivery-flow distribution network with inventory," Annals of Operations Research, Springer, vol. 277(1), pages 33-45, June.
    10. Esha Datta & Neeraj Kumar Goyal, 2017. "Sum of disjoint product approach for reliability evaluation of stochastic flow networks," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 8(2), pages 1734-1749, November.
    11. Chen, Shin-Guang & Lin, Yi-Kuei, 2020. "A permutation-and-backtrack approach for reliability evaluation in multistate information networks," Applied Mathematics and Computation, Elsevier, vol. 373(C).
    12. Niu, Yi-Feng & Gao, Zi-You & Lam, William H.K., 2017. "A new efficient algorithm for finding all d-minimal cuts in multi-state networks," Reliability Engineering and System Safety, Elsevier, vol. 166(C), pages 151-163.
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    Cited by:

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    3. Huang, Ding-Hsiang, 2024. "An algorithm to generate all d-lower boundary points for a stochastic flow network using dynamic flow constraints," Reliability Engineering and System Safety, Elsevier, vol. 249(C).

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