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Labeling algorithm for the shortest path problem with turn prohibitions with application to large-scale road networks

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  • Eliécer Gutiérrez
  • Andrés Medaglia

Abstract

In real road networks, the presence of no-left, no-right or no U-turn signs, restricts the movement of vehicles at intersections. These turn prohibitions must be considered when calculating the shortest path between a starting and an ending point in a road network. We propose an extension of Dijkstra’s algorithm to solve the shortest path problem with turn prohibitions. The method uses arc labeling and a network structure with low memory requirements. We compare the proposed method with the dual graph approach in a set of randomly generated networks and Bogotá’s large-scale road network. Our computational experiments show that the performance of the proposed method is better than that of the dual graph approach, both in terms of computing time and memory requirements. We co-developed a Web-based decision support system for computing shortest paths with turn prohibitions that uses the proposed method as the core engine. Copyright Springer Science+Business Media, LLC 2008

Suggested Citation

  • Eliécer Gutiérrez & Andrés Medaglia, 2008. "Labeling algorithm for the shortest path problem with turn prohibitions with application to large-scale road networks," Annals of Operations Research, Springer, vol. 157(1), pages 169-182, January.
    • Handle: RePEc:spr:annopr:v:157:y:2008:i:1:p:169-182:10.1007/s10479-007-0198-9
    DOI: 10.1007/s10479-007-0198-9
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    References listed on IDEAS

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    1. Yu-Li Chou & H. Edwin Romeijn & Robert L. Smith, 1998. "Approximating Shortest Paths in Large-Scale Networks with an Application to Intelligent Transportation Systems," INFORMS Journal on Computing, INFORMS, vol. 10(2), pages 163-179, May.
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    Cited by:

    1. Thibaut Vidal, 2017. "Node, Edge, Arc Routing and Turn Penalties: Multiple Problems—One Neighborhood Extension," Operations Research, INFORMS, vol. 65(4), pages 992-1010, August.
    2. Ari, Ibrahim & Aksakalli, Vural & Aydogˇdu, Volkan & Kum, Serdar, 2013. "Optimal ship navigation with safety distance and realistic turn constraints," European Journal of Operational Research, Elsevier, vol. 229(3), pages 707-717.
    3. Maurice Queyranne & Laurence A. Wolsey, 2018. "Optimum turn-restricted paths, nested compatibility, and optimum convex polygons," Journal of Combinatorial Optimization, Springer, vol. 36(1), pages 90-107, July.
    4. Di Puglia Pugliese, Luigi & Guerriero, Francesca, 2013. "Shortest path problem with forbidden paths: The elementary version," European Journal of Operational Research, Elsevier, vol. 227(2), pages 254-267.

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