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System reliability of a stochastic-flow network through two minimal paths under time threshold

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  • Lin, Yi-Kuei

Abstract

Reducing the transmission time for a flow network is an essential task. The quickest path problem thus arises to find a path with minimum transmission time. More specifically, the capacity of each arc in the network is assumed to be deterministic. Nevertheless, the capacity of each arc is stochastic due to failure, maintenance, etc. Such a network is named as a stochastic-flow network. Hence, the minimum transmission time is not a fixed number. We extend the quickest path problem to a system reliability problem that d units of data are required to be sent from the source to the sink under the time threshold T. The possibility to fulfill such requirements is named as the system reliability. In particular, the data can be transmitted through two disjoint minimal paths simultaneously. A simple algorithm is proposed to generate all lower boundary points for (d,T) and the system reliability can be subsequently computed in terms of such points. Moreover, the optimal pair of paths with highest system reliability can be further obtained.

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  • Lin, Yi-Kuei, 2010. "System reliability of a stochastic-flow network through two minimal paths under time threshold," International Journal of Production Economics, Elsevier, vol. 124(2), pages 382-387, April.
    • Handle: RePEc:eee:proeco:v:124:y:2010:i:2:p:382-387
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    References listed on IDEAS

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    1. Lin, Yi-Kuei, 2007. "Performance evaluation for the logistics system in case that capacity weight varies from arcs and types of commodity," International Journal of Production Economics, Elsevier, vol. 107(2), pages 572-580, June.
    2. Kleyner, Andre & Sandborn, Peter, 2008. "Minimizing life cycle cost by managing product reliability via validation plan and warranty return cost," International Journal of Production Economics, Elsevier, vol. 112(2), pages 796-807, April.
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    Cited by:

    1. Yi-Kuei Lin & Cheng-Fu Huang, 2016. "Reliability evaluation according to a routing scheme for multi-state computer networks under assured accuracy rate," Annals of Operations Research, Springer, vol. 244(1), pages 221-240, September.
    2. Yi-Kuei Lin & Thi-Phuong Nguyen & Louis Cheng-Lu Yeng, 2022. "Reliability evaluation of a stochastic multimodal transport network under time and budget considerations," Annals of Operations Research, Springer, vol. 312(1), pages 369-387, May.
    3. 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).
    4. Yi-Kuei Lin & Cheng-Fu Huang & Chin-Chia Chang, 2022. "Reliability of spare routing via intersectional minimal paths within budget and time constraints by simulation," Annals of Operations Research, Springer, vol. 312(1), pages 345-368, May.
    5. Ruiying Li & Qiang Dong & Chong Jin & Rui Kang, 2017. "A New Resilience Measure for Supply Chain Networks," Sustainability, MDPI, vol. 9(1), pages 1-19, January.
    6. Zhang, Yun & Fang, Zhihui & Xu, Zhengguo, 2019. "An optimal design of multi-protocol label switching networks achieving reliability requirements," Reliability Engineering and System Safety, Elsevier, vol. 182(C), pages 133-141.

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