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Line planning with user-optimal route choice

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  • Goerigk, Marc
  • Schmidt, Marie

Abstract

We consider the problem of designing lines in a public transport system, where we include user-optimal route choice. The model we develop ensures that there is enough capacity present for every passenger to travel on a shortest route. We present two different integer programming formulations for this problem, and discuss exact solution approaches. To solve large-scale line planning instances, we also implemented a genetic solution algorithms. We test our algorithms in computational experiments using randomly generated instances along realistic data, as well as a realistic instance modeling the German long-distance network. We examine the advantages and disadvantages of using such user-optimal solutions, and show that our algorithms sufficiently scale with instance size to be used for practical purposes.

Suggested Citation

  • Goerigk, Marc & Schmidt, Marie, 2017. "Line planning with user-optimal route choice," European Journal of Operational Research, Elsevier, vol. 259(2), pages 424-436.
    • Handle: RePEc:eee:ejores:v:259:y:2017:i:2:p:424-436
    DOI: 10.1016/j.ejor.2016.10.034
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    3. Schiewe, Alexander & Schiewe, Philine & Schmidt, Marie, 2019. "The line planning routing game," European Journal of Operational Research, Elsevier, vol. 274(2), pages 560-573.
    4. Yao, Zhiyuan & Nie, Lei & Fu, Huiling, 2024. "Railway line planning with passenger routing: Direct-service network representations and a two-phase solution approach," Transportation Research Part B: Methodological, Elsevier, vol. 186(C).
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    6. Feng, Tao & Lusby, Richard M. & Zhang, Yongxiang & Peng, Qiyuan, 2024. "Integrating train service route design with passenger flow allocation for an urban rail transit line," European Journal of Operational Research, Elsevier, vol. 313(1), pages 146-170.
    7. Ren, Hualing & Song, Yingjie & Long, Jiancheng & Si, Bingfeng, 2021. "A new transit assignment model based on line and node strategies," Transportation Research Part B: Methodological, Elsevier, vol. 150(C), pages 121-142.
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    9. Blanco, Víctor & Conde, Eduardo & Hinojosa, Yolanda & Puerto, Justo, 2020. "An optimization model for line planning and timetabling in automated urban metro subway networks. A case study," Omega, Elsevier, vol. 92(C).
    10. Simon Bull & Jesper Larsen & Richard M. Lusby & Natalia J. Rezanova, 2019. "Optimising the travel time of a line plan," 4OR, Springer, vol. 17(3), pages 225-259, September.
    11. Xu, Guangming & Zhong, Linhuan & Liu, Wei & Guo, Jing, 2024. "A flexible train composition strategy with extra-long trains for high-speed railway corridors with time-varying demand," Transportation Research Part B: Methodological, Elsevier, vol. 179(C).
    12. Javier Durán-Micco & Pieter Vansteenwegen, 2022. "A survey on the transit network design and frequency setting problem," Public Transport, Springer, vol. 14(1), pages 155-190, March.
    13. Wenliang Zhou & Xiang Li & Xin Shi, 2023. "Joint Optimization of Time-Dependent Line Planning and Differential Pricing with Passenger Train Choice in High-Speed Railway Networks," Mathematics, MDPI, vol. 11(6), pages 1-28, March.
    14. Masing, Berenike & Lindner, Niels & Borndörfer, Ralf, 2022. "The price of symmetric line plans in the Parametric City," Transportation Research Part B: Methodological, Elsevier, vol. 166(C), pages 419-443.
    15. Hu, Huaibin & Yue, Yixiang & Fu, Huiling & Li, Jiaxi, 2024. "How to optimize train lines for diverse passenger demands: A line planning approach providing matched train services for each O-D market," Transportation Research Part A: Policy and Practice, Elsevier, vol. 186(C).
    16. Konrad Steiner & Stefan Irnich, 2018. "Strategic Planning for Integrated Mobility-on-Demand and Urban Public Bus Networks," Working Papers 1819, Gutenberg School of Management and Economics, Johannes Gutenberg-Universität Mainz.
    17. Kuo, Yong-Hong & Leung, Janny M.Y. & Yan, Yimo, 2023. "Public transport for smart cities: Recent innovations and future challenges," European Journal of Operational Research, Elsevier, vol. 306(3), pages 1001-1026.
    18. Duran-Micco, Javier & Vermeir, Evert & Vansteenwegen, Pieter, 2020. "Considering emissions in the transit network design and frequency setting problem with a heterogeneous fleet," European Journal of Operational Research, Elsevier, vol. 282(2), pages 580-592.

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