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A new method for verifying d-MC candidates

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  • Yeh, Wei-Chang

Abstract

Network reliability modeling and calculation is a very important study domain in reliability engineering. It is also a popular index for validating and measuring the performance of real-world multi-state flow networks (MFNs), e.g., the applications in internet of things, social networks, clouding computing, and 5G. The d-MC is a vector, the maximum flow of whose related network is d, and any vector less than the d-MC is not a d-MC in MFNs. The MFN reliability can be calculated in terms of d-MCs. Hence, the d-MC is one of the most popular tools for evaluating the MFN reliability. The method to find all d-MCs is through the mathematical programming whose solutions are called d-MC candidates, and all d-MCs are selected from these candidates. In this study, a novel and simple algorithm is proposed to filter out d-MCs from these d-MC candidates after removing duplicates. The time complexity of the proposed algorithm is analyzed along with the demonstration using an example. An experiment with 200 random networks is outlined to compare the proposed, traditional, and best-known algorithms used for verifying d-MC candidates.

Suggested Citation

  • Yeh, Wei-Chang, 2020. "A new method for verifying d-MC candidates," Reliability Engineering and System Safety, Elsevier, vol. 204(C).
    • Handle: RePEc:eee:reensy:v:204:y:2020:i:c:s0951832020307031
    DOI: 10.1016/j.ress.2020.107202
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    References listed on IDEAS

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    1. Forghani-elahabad, Majid & Kagan, Nelson & Mahdavi-Amiri, Nezam, 2019. "An MP-based approximation algorithm on reliability evaluation of multistate flow networks," Reliability Engineering and System Safety, Elsevier, vol. 191(C).
    2. 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.
    3. Wei-Chang Yeh, 2017. "Methodology for the reliability evaluation of the novel learning-effect multi-state flow network," IISE Transactions, Taylor & Francis Journals, vol. 49(11), pages 1078-1085, November.
    4. Yeh, Wei-Chang, 2006. "A new algorithm for generating minimal cut sets in k-out-of-n networks," Reliability Engineering and System Safety, Elsevier, vol. 91(1), pages 36-43.
    5. Yeh, Wei-Chang, 2008. "A simple minimal path method for estimating the weighted multi-commodity multistate unreliable networks reliability," Reliability Engineering and System Safety, Elsevier, vol. 93(1), pages 125-136.
    6. Yeh, Wei-Chang, 2008. "An improved algorithm for searching all minimal cuts in modified networks," Reliability Engineering and System Safety, Elsevier, vol. 93(7), pages 1018-1024.
    7. Xiaojun (Gene) Shan & Frank A. Felder & David W. Coit, 2017. "Game-theoretic models for electric distribution resiliency/reliability from a multiple stakeholder perspective," IISE Transactions, Taylor & Francis Journals, vol. 49(2), pages 159-177, February.
    8. Yeh, Wei-Chang & Chu, Ta-Chung, 2018. "A novel multi-distribution multi-state flow network and its reliability optimization problem," Reliability Engineering and System Safety, Elsevier, vol. 176(C), pages 209-217.
    9. Majid Forghani-elahabad & Nelson Kagan, 2019. "Reliability evaluation of a stochastic-flow network in terms of minimal paths with budget constraint," IISE Transactions, Taylor & Francis Journals, vol. 51(5), pages 547-558, May.
    10. Yeh, Wei-Chang, 2006. "A simple algorithm to search for all MCs in networks," European Journal of Operational Research, Elsevier, vol. 174(3), pages 1694-1705, November.
    11. Niu, Yi-Feng & Gao, Zi-You & Lam, William H.K., 2017. "Evaluating the reliability of a stochastic distribution network in terms of minimal cuts," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 100(C), pages 75-97.
    12. Yeh, Wei-Chang & Bae, Changseok & Huang, Chia-Ling, 2015. "A new cut-based algorithm for the multi-state flow network reliability problem," Reliability Engineering and System Safety, Elsevier, vol. 136(C), pages 1-7.
    13. Ramirez-Marquez, José Emmanuel & Rocco S., Claudio M., 2009. "Stochastic network interdiction optimization via capacitated network reliability modeling and probabilistic solution discovery," Reliability Engineering and System Safety, Elsevier, vol. 94(5), pages 913-921.
    14. Gregory Levitin, 2005. "The Universal Generating Function in Reliability Analysis and Optimization," Springer Series in Reliability Engineering, Springer, number 978-1-84628-245-4, March.
    15. Bai, Guanghan & Zuo, Ming J. & Tian, Zhigang, 2015. "Search for all d-MPs for all d levels in multistate two-terminal networks," Reliability Engineering and System Safety, Elsevier, vol. 142(C), pages 300-309.
    16. 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.
    17. Meihua Wang & Wei-Chang Yeh & Ta-Chung Chu & Xianyong Zhang & Chia-Ling Huang & Jun Yang, 2018. "Solving Multi-Objective Fuzzy Optimization in Wireless Smart Sensor Networks under Uncertainty Using a Hybrid of IFR and SSO Algorithm," Energies, MDPI, vol. 11(9), pages 1-23, September.
    18. Coit, David W. & Chatwattanasiri, Nida & Wattanapongsakorn, Naruemon & Konak, Abdullah, 2015. "Dynamic k-out-of-n system reliability with component partnership," Reliability Engineering and System Safety, Elsevier, vol. 138(C), pages 82-92.
    19. Yeh, Wei-Chang, 2017. "Evaluation of the one-to-all-target-subsets reliability of a novel deterioration-effect acyclic multi-state information network," Reliability Engineering and System Safety, Elsevier, vol. 166(C), pages 132-137.
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    Cited by:

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    2. Chang, Ping-Chen, 2022. "MC-based simulation approach for two-terminal multi-state network reliability evaluation without knowing d-MCs," Reliability Engineering and System Safety, Elsevier, vol. 220(C).
    3. Niu, Yi-Feng & Song, Yi-Fan & Xu, Xiu-Zhen & Zhao, Xia, 2022. "Efficient reliability computation of a multi-state flow network with cost constraint," Reliability Engineering and System Safety, Elsevier, vol. 222(C).
    4. Chang, Ping-Chen & Huang, Ding-Hsiang & Lin, Yi-Kuei & Nguyen, Thi-Phuong, 2021. "Reliability and maintenance models for a time-related multi-state flow network via d-MC approach," Reliability Engineering and System Safety, Elsevier, vol. 216(C).
    5. Niu, Yi-Feng & Zhao, Xia & Xu, Xiu-Zhen & Zhang, Shi-Yun, 2023. "Reliability assessment of a stochastic-flow distribution network with carbon emission constraint," Reliability Engineering and System Safety, Elsevier, vol. 230(C).
    6. Xiao, Jun & Qu, Yuqing & She, Buxin & Song, Chenhui, 2023. "Operational boundary of flow network," Reliability Engineering and System Safety, Elsevier, vol. 231(C).
    7. Xu, Xiu-Zhen & Niu, Yi-Feng & Song, Yi-Fan, 2021. "Computing the reliability of a stochastic distribution network subject to budget constraint," Reliability Engineering and System Safety, Elsevier, vol. 216(C).

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