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Performance measure of a multi-state flow network under reliability and maintenance cost considerations

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  • Niu, Yi-Feng

Abstract

In this paper, each edge in a multi-state flow network is characterized by both multi-valued capacities and a maintenance cost. Accordingly, the performance of a multi-state flow network is measured by capacity reliability as well as maintenance budget limit. An integrated performance indicator MR(d,b) is defined as the probability that a multi-state flow network can provide the required capacity level d while satisfying the maintenance budget limit b. An algorithm is developed to calculate MR(d,b) exactly. Unlike the exhaustive algorithm that enumerates each capacity vector one by one, the developed algorithm iteratively separates capacity vectors satisfying the required capacity level d from the universal space, and then checks whether they meet the maintenance budget limit b. Furthermore, the efficiency of the developed algorithm is validated via numerical experiments.

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  • 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).
    • Handle: RePEc:eee:reensy:v:215:y:2021:i:c:s0951832021003434
    DOI: 10.1016/j.ress.2021.107822
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    as
    1. Lin, Yi-Kuei & Yeh, Cheng-Ta, 2011. "Maximal network reliability for a stochastic power transmission network," Reliability Engineering and System Safety, Elsevier, vol. 96(10), pages 1332-1339.
    2. Jia, Heping & Liu, Dunnan & Li, Yanbin & Ding, Yi & Liu, Mingguang & Peng, Rui, 2020. "Reliability evaluation of power systems with multi-state warm standby and multi-state performance sharing mechanism," Reliability Engineering and System Safety, Elsevier, vol. 204(C).
    3. 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.
    4. Jane, Chin-Chia, 2011. "Performance evaluation of logistics systems under cost and reliability considerations," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 47(2), pages 130-137, March.
    5. 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.
    6. Wu, Wei-wei & Ning, Angelika & Ning, Xuan-xi, 2008. "Evaluation of the reliability of transport networks based on the stochastic flow of moving objects," Reliability Engineering and System Safety, Elsevier, vol. 93(6), pages 838-844.
    7. 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.
    8. W-C Yeh, 2005. "A novel method for the network reliability in terms of capacitated-minimum-paths without knowing minimum-paths in advance," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 56(10), pages 1235-1240, October.
    9. 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).
    10. 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).
    11. Zio, E., 2009. "Reliability engineering: Old problems and new challenges," Reliability Engineering and System Safety, Elsevier, vol. 94(2), pages 125-141.
    12. 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.
    13. Scherb, Anke & Garrè, Luca & Straub, Daniel, 2019. "Evaluating component importance and reliability of power transmission networks subject to windstorms: methodology and application to the nordic grid," Reliability Engineering and System Safety, Elsevier, vol. 191(C).
    14. Lin, Yi-Kuei, 2007. "Reliability of a computer network in case capacity weight varying with arcs, nodes and types of commodity," Reliability Engineering and System Safety, Elsevier, vol. 92(5), pages 646-652.
    15. Yeh, Wei-Chang, 2004. "Multistate network reliability evaluation under the maintenance cost constraint," International Journal of Production Economics, Elsevier, vol. 88(1), pages 73-83, March.
    16. Volkanovski, Andrija & ÄŒepin, Marko & Mavko, Borut, 2009. "Application of the fault tree analysis for assessment of power system reliability," Reliability Engineering and System Safety, Elsevier, vol. 94(6), pages 1116-1127.
    17. 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.
    18. Niu, Yi-Feng & Lam, William H.K. & Gao, Ziyou, 2014. "An efficient algorithm for evaluating logistics network reliability subject to distribution cost," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 67(C), pages 175-189.
    19. Chang, Ping-Chen & Lin, Yi-Kuei & Chiang, Yu-Min, 2019. "System reliability estimation and sensitivity analysis for multi-state manufacturing network with joint buffers––A simulation approach," Reliability Engineering and System Safety, Elsevier, vol. 188(C), pages 103-109.
    20. 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.
    21. 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.
    22. Lin, Yi-Kuei & Chang, Ping-Chen, 2012. "Evaluate the system reliability for a manufacturing network with reworking actions," Reliability Engineering and System Safety, Elsevier, vol. 106(C), pages 127-137.
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    3. Hongyan Dui & Yuheng Yang & Yun-an Zhang & Yawen Zhu, 2022. "Recovery Analysis and Maintenance Priority of Metro Networks Based on Importance Measure," Mathematics, MDPI, vol. 10(21), pages 1-20, October.
    4. 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).
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    6. 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).
    7. Xu, Bei & Liu, Tao & Bai, Guanghan & Tao, Junyong & Zhang, Yun-an & Fang, Yining, 2022. "A multistate network approach for reliability evaluation of unmanned swarms by considering information exchange capacity," Reliability Engineering and System Safety, Elsevier, vol. 219(C).
    8. 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).
    9. Li, Xianxiong & Lan, Xinbo & Mirzaei, A & Aghdam Bonab, Mohammad Jalilvand, 2022. "Reliability and robust resource allocation for Cache-enabled HetNets: QoS-aware mobile edge computing," Reliability Engineering and System Safety, Elsevier, vol. 220(C).
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    11. 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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