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Integrated air-rail scheduling: A branch-and-price approach for adaptive passenger-centric planning

Author

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  • Guitart, Andréas
  • Buire, Clara

Abstract

This paper addresses the air-rail schedule synchronisation problem by proposing a novel approach that designs integrated flight and train schedules from scratch. A passenger-centric approach is employed, considering a set of travel preference criteria: door-to-door travel time, price, and transportation mode. The problem is formulated as an adapted version of a Multi-Commodity Flow (MCF) problem on a time-expanded network, and solved through a branch-and-price procedure. To speed-up the solution process, we propose to couple the resolution of the column-generation sub-problem with a pattern search, performed in a preprocessing phase. The proposed methodology is tested on the French transportation network over a five-month period, considering 1500 commodities. The complete schedule is generated in twelve hours, including the preprocessing time. The final schedule satisfies over 95 % of passenger travel preferences, demonstrating the effectiveness of the approach in optimising multimodal connectivity.

Suggested Citation

  • Guitart, Andréas & Buire, Clara, 2026. "Integrated air-rail scheduling: A branch-and-price approach for adaptive passenger-centric planning," Transportation Research Part B: Methodological, Elsevier, vol. 204(C).
    • Handle: RePEc:eee:transb:v:204:y:2026:i:c:s0191261525002127
    DOI: 10.1016/j.trb.2025.103363
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