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Finding the k reliable shortest paths under travel time uncertainty

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  • Chen, Bi Yu
  • Li, Qingquan
  • Lam, William H.K.

Abstract

This paper investigates the problem of finding the K reliable shortest paths (KRSP) in stochastic networks under travel time uncertainty. The KRSP problem extends the classical K loopless shortest paths problem to the stochastic networks by explicitly considering travel time reliability. In this study, a deviation path approach is established for finding K α-reliable paths in stochastic networks. A deviation path algorithm is proposed to exactly solve the KRSP problem in large-scale networks. The A* technique is introduced to further improve the KRSP finding performance. A case study using real traffic information is performed to validate the proposed algorithm. The results indicate that the proposed algorithm can determine KRSP under various travel time reliability values within reasonable computational times. The introduced A* technique can significantly improve KRSP finding performance.

Suggested Citation

  • Chen, Bi Yu & Li, Qingquan & Lam, William H.K., 2016. "Finding the k reliable shortest paths under travel time uncertainty," Transportation Research Part B: Methodological, Elsevier, vol. 94(C), pages 189-203.
    • Handle: RePEc:eee:transb:v:94:y:2016:i:c:p:189-203
    DOI: 10.1016/j.trb.2016.09.013
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    Cited by:

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    2. Yang, Lixing & Zhou, Xuesong, 2017. "Optimizing on-time arrival probability and percentile travel time for elementary path finding in time-dependent transportation networks: Linear mixed integer programming reformulations," Transportation Research Part B: Methodological, Elsevier, vol. 96(C), pages 68-91.
    3. Shao, Feng & Shao, Hu & Wang, Dongle & Lam, William H.K. & Cao, Shuhan, 2023. "A generative model for vehicular travel time distribution prediction considering spatial and temporal correlations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 621(C).
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    5. Shen, Liang & Shao, Hu & Wu, Ting & Fainman, Emily Zhu & Lam, William H.K., 2020. "Finding the reliable shortest path with correlated link travel times in signalized traffic networks under uncertainty," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 144(C).
    6. Wanxiang Wang & Ruijun Guo, 2022. "Travel Time Reliability of Highway Network under Multiple Failure Modes," Sustainability, MDPI, vol. 14(12), pages 1-18, June.
    7. Shi, Ning & Zhou, Shaorui & Wang, Fan & Tao, Yi & Liu, Liming, 2017. "The multi-criteria constrained shortest path problem," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 101(C), pages 13-29.
    8. Elías Escobar-Gómez & J.L. Camas-Anzueto & Sabino Velázquez-Trujillo & Héctor Hernández-de-León & Rubén Grajales-Coutiño & Eduardo Chandomí-Castellanos & Héctor Guerra-Crespo, 2019. "A Linear Programming Model with Fuzzy Arc for Route Optimization in the Urban Road Network," Sustainability, MDPI, vol. 11(23), pages 1-18, November.
    9. Zhang, Yufeng & Khani, Alireza, 2019. "An algorithm for reliable shortest path problem with travel time correlations," Transportation Research Part B: Methodological, Elsevier, vol. 121(C), pages 92-113.

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