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An efficient algorithm for evaluating logistics network reliability subject to distribution cost

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  • Niu, Yi-Feng
  • Lam, William H.K.
  • Gao, Ziyou

Abstract

This paper presents a (d, c)-minimal paths based algorithm to evaluate the reliability index R(d,c), defined as the probability that the source distributes a demand d successfully to the destination with the total distribution cost not exceeding budget constraint c. The proposed algorithm employs two schemes to reduce the search space of (d, c)-minimal paths: (1) by proposing some conditions, an improved method for solving (d, c)-minimal paths is developed; (2) an existing decomposition technique is applied to limit the search space. Computational results show a clear advantage of the proposed algorithm in seeking (d, c)-minimal paths.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:transe:v:67:y:2014:i:c:p:175-189
    DOI: 10.1016/j.tre.2014.04.009
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    References listed on IDEAS

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    1. Fink, Andreas & Reiners, Torsten, 2006. "Modeling and solving the short-term car rental logistics problem," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 42(4), pages 272-292, July.
    2. 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.
    3. Lin, Yi-Kuei, 2010. "Calculation of minimal capacity vectors through k minimal paths under budget and time constraints," European Journal of Operational Research, Elsevier, vol. 200(1), pages 160-169, January.
    4. 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.
    5. Lin, Yi-Kuei & Yeh, Cheng-Ta, 2010. "Optimal carrier selection based on network reliability criterion for stochastic logistics networks," International Journal of Production Economics, Elsevier, vol. 128(2), pages 510-517, December.
    6. Ahuja, Ravindra K. & Kodialam, Murali & Mishra, Ajay K. & Orlin, James B., 1997. "Computational investigations of maximum flow algorithms," European Journal of Operational Research, Elsevier, vol. 97(3), pages 509-542, March.
    7. Lee, Der-Horng & Dong, Meng, 2008. "A heuristic approach to logistics network design for end-of-lease computer products recovery," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 44(3), pages 455-474, May.
    8. 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.
    9. Roorda, Matthew J. & Cavalcante, Rinaldo & McCabe, Stephanie & Kwan, Helen, 2010. "A conceptual framework for agent-based modelling of logistics services," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 46(1), pages 18-31, January.
    10. Yeh, Wei-Chang, 2005. "A new approach to evaluate reliability of multistate networks under the cost constraint," Omega, Elsevier, vol. 33(3), pages 203-209, June.
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    Citations

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    Cited by:

    1. Xiu-Zhen Xu & Yi-Feng Niu & Qing Li, 2019. "Efficient Enumeration of - Minimal Paths in Reliability Evaluation of Multistate Networks," Complexity, Hindawi, vol. 2019, pages 1-10, March.
    2. Yi-Feng Niu & Can He & De-Qiang Fu, 2022. "Reliability assessment of a multi-state distribution network under cost and spoilage considerations," Annals of Operations Research, Springer, vol. 309(1), pages 189-208, February.
    3. 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).
    4. 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).
    5. 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.
    6. Kozyra, Paweł Marcin, 2023. "The usefulness of (d,b)-MCs and (d,b)-MPs in network reliability evaluation under delivery or maintenance cost constraints," Reliability Engineering and System Safety, Elsevier, vol. 234(C).
    7. 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).
    8. 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.
    9. 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).
    10. Sun, Xiaoqian & Wandelt, Sebastian, 2014. "Network similarity analysis of air navigation route systems," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 70(C), pages 416-434.

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