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Shortest viable path algorithm in multimodal networks

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  • Lozano, Angelica
  • Storchi, Giovanni

Abstract

We consider an approach using label correcting techniques to find the shortest viable path from an origin to a destination, in a multimodal transportation network. A path is called viable if its sequence of modes is feasible with respect to a set of constraints. We present an ad hoc modification of the Chronological Algorithm to solve the multimodal shortest viable path problem. We show the resulting paths of an application on a network, for different number of modal transfers. Since the results are a solution set, the choice of a path depends on the user's preferences with respect to cost and number of modal transfers.

Suggested Citation

  • Lozano, Angelica & Storchi, Giovanni, 2001. "Shortest viable path algorithm in multimodal networks," Transportation Research Part A: Policy and Practice, Elsevier, vol. 35(3), pages 225-241, March.
  • Handle: RePEc:eee:transa:v:35:y:2001:i:3:p:225-241
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    Cited by:

    1. Lo, Hong K. & Yip, C. W. & Wan, K. H., 2003. "Modeling transfer and non-linear fare structure in multi-modal network," Transportation Research Part B: Methodological, Elsevier, vol. 37(2), pages 149-170, February.
    2. Li, Zhaojin & Liu, Ya & Yang, Zhen, 2021. "An effective kernel search and dynamic programming hybrid heuristic for a multimodal transportation planning problem with order consolidation," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 152(C).
    3. Andrew Ensor & Felipe Lillo, 2016. "Colored-Edge Graph Approach for the Modeling of Multimodal Transportation Systems," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 33(01), pages 1-21, February.
    4. Ishfaq, Rafay & Sox, Charles R., 2011. "Hub location-allocation in intermodal logistic networks," European Journal of Operational Research, Elsevier, vol. 210(2), pages 213-230, April.
    5. Li, Xianghua & Guo, Jingyi & Gao, Chao & Su, Zhen & Bao, Deng & Zhang, Zili, 2018. "Network-based transportation system analysis: A case study in a mountain city," Chaos, Solitons & Fractals, Elsevier, vol. 107(C), pages 256-265.
    6. Ioannou, Petros & Chen, Pengfei, 2023. "Centrally Coordinated Schedules and Routes of Airport Shuttles with LAX Terminals as Application Area," Institute of Transportation Studies, Working Paper Series qt6gg7r6c5, Institute of Transportation Studies, UC Davis.
    7. Arentze, Theo A. & Molin, Eric J.E., 2013. "Travelers’ preferences in multimodal networks: Design and results of a comprehensive series of choice experiments," Transportation Research Part A: Policy and Practice, Elsevier, vol. 58(C), pages 15-28.
    8. Jiang, Y. & Szeto, W.Y., 2016. "Reliability-based stochastic transit assignment: Formulations and capacity paradox," Transportation Research Part B: Methodological, Elsevier, vol. 93(PA), pages 181-206.
    9. Ioannou, Petros & Giuliano, Genevieve & Dessouky, Maged & Chen, Pengfei & Dexter, Sue, 2020. "Freight Load Balancing and Efficiencies in Alternative Fuel Freight Modes," Institute of Transportation Studies, Working Paper Series qt3ns4b894, Institute of Transportation Studies, UC Davis.
    10. Kengpol, Athakorn & Meethom, Warapoj & Tuominen, Markku, 2012. "The development of a decision support system in multimodal transportation routing within Greater Mekong sub-region countries," International Journal of Production Economics, Elsevier, vol. 140(2), pages 691-701.
    11. Laura Alessandretti & Luis Guillermo Natera Orozco & Meead Saberi & Michael Szell & Federico Battiston, 2023. "Multimodal urban mobility and multilayer transport networks," Environment and Planning B, , vol. 50(8), pages 2038-2070, October.
    12. Lozano, Angélica & Storchi, Giovanni, 2002. "Shortest viable hyperpath in multimodal networks," Transportation Research Part B: Methodological, Elsevier, vol. 36(10), pages 853-874, December.
    13. Linzhong Liu & Haibo Mu & Juhua Yang, 2017. "Toward algorithms for multi-modal shortest path problem and their extension in urban transit network," Journal of Intelligent Manufacturing, Springer, vol. 28(3), pages 767-781, March.
    14. Ying Liu & Han Gu & Yuyu Shi, 2022. "Spatial Accessibility Analysis of Medical Facilities Based on Public Transportation Networks," IJERPH, MDPI, vol. 19(23), pages 1-15, December.
    15. Nair, Rahul & Miller-Hooks, Elise, 2014. "Equilibrium network design of shared-vehicle systems," European Journal of Operational Research, Elsevier, vol. 235(1), pages 47-61.
    16. López, David & Lozano, Angélica, 2020. "Shortest hyperpaths in a multimodal hypergraph with real-time information on some transit lines," Transportation Research Part A: Policy and Practice, Elsevier, vol. 137(C), pages 541-559.
    17. Bielli, Maurizio & Boulmakoul, Azedine & Mouncif, Hicham, 2006. "Object modeling and path computation for multimodal travel systems," European Journal of Operational Research, Elsevier, vol. 175(3), pages 1705-1730, December.
    18. Liang, Wen Yau & Huang, Chun-Che & Lin, Yin-Chen & Chang, Tsun Hsien & Shih, Meng Hao, 2013. "The multi-objective label correcting algorithm for supply chain modeling," International Journal of Production Economics, Elsevier, vol. 142(1), pages 172-178.
    19. Rahul Nair & Elise Miller-Hooks, 2016. "Equilibrium design of bicycle sharing systems: the case of Washington D.C," EURO Journal on Transportation and Logistics, Springer;EURO - The Association of European Operational Research Societies, vol. 5(3), pages 321-344, August.

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