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This is a Quantitative Study study.

October 3, 2025Open Access

Solving Integrated Periodic Railway Timetabling with Satisfiability Modulo Theories: A Scalable Approach to Routing and Vehicle Circulation

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The integrated approach reduces fleet needs compared to sequential methods, leading to more efficient transport solutions.
First SMT-based method for the VCR-PESP effectively manages large-scale instances in railway operations.
Real-world data from Swiss narrow-gauge operator RhB highlights the benefits of time discretisation and flexibility in planning.
This framework outperforms conventional models, ensuring effective railway planning with high-resolution solutions.

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New optimization model minimizes fleet size in periodic train scheduling, suggesting SMT improves efficiency.

Fuchs et al. (2025) studied this question.

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