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A note on least time path computation considering delays and prohibitions for intersection movements

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  • Ziliaskopoulos, Athanasios K.
  • Mahmassani, Hani S.

Abstract

Most shortest path algorithms do not explicitly consider intersection movements in calculating best paths. However, in congested street networks, turning movement delays can be significant, and ignoring them may lead to the calculation of suboptimal or illogical paths. To reflect turning movements in practice, it is common to "explode" the network representation for use with standard shortest path algorithms. This paper proposes a considerably more efficient approach; it consists of an extension to the commonly used forward star structure to represent the network including intersection movements and movement prohibitions. A label correcting shortest path algorithm is modified to take advantage of the proposed representation and calculate the least time paths in a computationally efficient way. The approach is implemented, tested and compared with existing techniques. The application of similar modifications to time-dependent and k-shortest path algorithms is also discussed.

Suggested Citation

  • Ziliaskopoulos, Athanasios K. & Mahmassani, Hani S., 1996. "A note on least time path computation considering delays and prohibitions for intersection movements," Transportation Research Part B: Methodological, Elsevier, vol. 30(5), pages 359-367, October.
    • Handle: RePEc:eee:transb:v:30:y:1996:i:5:p:359-367
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    References listed on IDEAS

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    1. Easa, Said M., 1985. "Shortest route algorithm with movement prohibitions," Transportation Research Part B: Methodological, Elsevier, vol. 19(3), pages 197-208, June.
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    Cited by:

    1. Yang, Baiyu & Miller-Hooks, Elise, 2004. "Adaptive routing considering delays due to signal operations," Transportation Research Part B: Methodological, Elsevier, vol. 38(5), pages 385-413, June.
    2. Lu, Jiawei & Nie, Qinghui & Mahmoudi, Monirehalsadat & Ou, Jishun & Li, Chongnan & Zhou, Xuesong Simon, 2022. "Rich arc routing problem in city logistics: Models and solution algorithms using a fluid queue-based time-dependent travel time representation," Transportation Research Part B: Methodological, Elsevier, vol. 166(C), pages 143-182.
    3. Perugia, Alessandro & Moccia, Luigi & Cordeau, Jean-François & Laporte, Gilbert, 2011. "Designing a home-to-work bus service in a metropolitan area," Transportation Research Part B: Methodological, Elsevier, vol. 45(10), pages 1710-1726.
    4. Alvaro Velasquez & P. Wojciechowski & K. Subramani & Matthew Williamson, 2024. "Arc-dependent networks: theoretical insights and a computational study," Annals of Operations Research, Springer, vol. 338(2), pages 1101-1126, July.
    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. Cova, Thomas J. & Johnson, Justin P., 2003. "A network flow model for lane-based evacuation routing," Transportation Research Part A: Policy and Practice, Elsevier, vol. 37(7), pages 579-604, August.

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