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Shortest paths in traffic-light networks

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  • Chen, Yen-Liang
  • Yang, Hsu-Hao

Abstract

The time-constrained shortest path problem (TCSPP) is an important generalization of the shortest path problem (SPP) and has attracted widespread research interest in recent years. This paper presents a novel time constraint, called traffic-light constraint, to simulate the operations of traffic-light control encountered in intersections of roads. Basically, the constraint consists of a repeated sequence of time windows. In each window, only the cars in specified routes are allowed to pass through the intersection. In a practical sense, this means that a car needs to wait if the light for its direction is red and can go if it is green. For this kind of network, a shortest path algorithm of time complexity O(r - n3) is developed, where n denotes the number of nodes in the network and r the number of different windows in a node. In addition, we also prove that the time complexity of this algorithm is optimal.

Suggested Citation

  • Chen, Yen-Liang & Yang, Hsu-Hao, 2000. "Shortest paths in traffic-light networks," Transportation Research Part B: Methodological, Elsevier, vol. 34(4), pages 241-253, May.
    • Handle: RePEc:eee:transb:v:34:y:2000:i:4:p:241-253
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    References listed on IDEAS

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    1. A. W. J. Kolen & A. H. G. Rinnooy Kan & H. W. J. M. Trienekens, 1987. "Vehicle Routing with Time Windows," Operations Research, INFORMS, vol. 35(2), pages 266-273, April.
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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. Chen, Yen-Liang & Yang, Hsu-Hao, 2003. "Minimization of travel time and weighted number of stops in a traffic-light network," European Journal of Operational Research, Elsevier, vol. 144(3), pages 565-580, February.
    3. Y-L Chen & L-J Hsiao & K Tang, 2003. "Time analysis for planning a path in a time-window network," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 54(8), pages 860-870, August.
    4. Qian Ye & Hyun Kim, 2019. "Partial Node Failure in Shortest Path Network Problems," Sustainability, MDPI, vol. 11(22), pages 1-21, November.
    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).

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