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Passenger routing for periodic timetable optimization

Author

Listed:
  • Ralf Borndörfer

    (Zuse-Institute Berlin)

  • Heide Hoppmann

    (Zuse-Institute Berlin)

  • Marika Karbstein

    (Zuse-Institute Berlin)

Abstract

The task of periodic timetabling is to determine trip arrival and departure times in a public transport system such that travel and transfer times are minimized. This paper investigates periodic timetabling models with integrated passenger routing. We show that different routing models can have a huge influence on the quality of the entire system: Whatever metric is applied, the performance ratios of timetables w.r.t. different routing models can be arbitrarily large. Computations on a real-world instance for the city of Wuppertal substantiate the theoretical findings. These results indicate the existence of untapped optimization potentials that can be used to improve the efficiency of public transport systems by integrating passenger routing.

Suggested Citation

  • Ralf Borndörfer & Heide Hoppmann & Marika Karbstein, 2017. "Passenger routing for periodic timetable optimization," Public Transport, Springer, vol. 9(1), pages 115-135, July.
    • Handle: RePEc:spr:pubtra:v:9:y:2017:i:1:d:10.1007_s12469-016-0132-0
    DOI: 10.1007/s12469-016-0132-0
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    References listed on IDEAS

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    1. Ralf Borndörfer & Martin Grötschel & Marc E. Pfetsch, 2007. "A Column-Generation Approach to Line Planning in Public Transport," Transportation Science, INFORMS, vol. 41(1), pages 123-132, February.
    2. Sels, P. & Dewilde, T. & Cattrysse, D. & Vansteenwegen, P., 2016. "Reducing the passenger travel time in practice by the automated construction of a robust railway timetable," Transportation Research Part B: Methodological, Elsevier, vol. 84(C), pages 124-156.
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    Cited by:

    1. Yan, Fei & Goverde, Rob M.P., 2019. "Combined line planning and train timetabling for strongly heterogeneous railway lines with direct connections," Transportation Research Part B: Methodological, Elsevier, vol. 127(C), pages 20-46.
    2. Martin-Iradi, Bernardo & Ropke, Stefan, 2022. "A column-generation-based matheuristic for periodic and symmetric train timetabling with integrated passenger routing," European Journal of Operational Research, Elsevier, vol. 297(2), pages 511-531.
    3. Yoonjee Baek & Heesun Joo, 2022. "A Study on the Spatial Structure of the Bu-Ul-Gyeong Megacity Using the City Network Paradigm," Sustainability, MDPI, vol. 14(23), pages 1-21, November.
    4. Polinder, G.-J. & Cacchiani, V. & Schmidt, M.E. & Huisman, D., 2020. "An iterative heuristic for passenger-centric train timetabling with integrated adaption times," ERIM Report Series Research in Management ERS-2020-006-LIS, Erasmus Research Institute of Management (ERIM), ERIM is the joint research institute of the Rotterdam School of Management, Erasmus University and the Erasmus School of Economics (ESE) at Erasmus University Rotterdam.
    5. Hartleb, J. & Schmidt, M.E. & Friedrich, M. & Huisman, D., 2019. "A good or a bad timetable: Do different evaluation functions agree?," ERIM Report Series Research in Management ERS-2019-002-LIS, Erasmus Research Institute of Management (ERIM), ERIM is the joint research institute of the Rotterdam School of Management, Erasmus University and the Erasmus School of Economics (ESE) at Erasmus University Rotterdam.
    6. Julius Pätzold, 2021. "Finding robust periodic timetables by integrating delay management," Public Transport, Springer, vol. 13(2), pages 349-374, June.
    7. Tatsuki Yamauchi & Mizuyo Takamatsu & Shinji Imahori, 2023. "Optimizing train stopping patterns for congestion management," Public Transport, Springer, vol. 15(1), pages 1-29, March.
    8. Xu, Xiaoming & Li, Chung-Lun & Xu, Zhou, 2021. "Train timetabling with stop-skipping, passenger flow, and platform choice considerations," Transportation Research Part B: Methodological, Elsevier, vol. 150(C), pages 52-74.
    9. Xie, J. & Wong, S.C. & Zhan, S. & Lo, S.M. & Chen, Anthony, 2020. "Train schedule optimization based on schedule-based stochastic passenger assignment," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 136(C).
    10. Robenek, Tomáš & Azadeh, Shadi Sharif & Maknoon, Yousef & de Lapparent, Matthieu & Bierlaire, Michel, 2018. "Train timetable design under elastic passenger demand," Transportation Research Part B: Methodological, Elsevier, vol. 111(C), pages 19-38.
    11. Philine Schiewe & Marc Goerigk & Niels Lindner, 2023. "Introducing TimPassLib – A Library for Integrated Periodic Timetabling and Passenger Routing," SN Operations Research Forum, Springer, vol. 4(3), pages 1-14, September.
    12. Polinder, G.-J. & Schmidt, M.E. & Huisman, D., 2020. "Timetabling for strategic passenger railway planning," ERIM Report Series Research in Management ERS-2020-001-LIS, Erasmus Research Institute of Management (ERIM), ERIM is the joint research institute of the Rotterdam School of Management, Erasmus University and the Erasmus School of Economics (ESE) at Erasmus University Rotterdam.
    13. Hartleb, J. & Schmidt, M.E., 2019. "Railway timetabling with integrated passenger distribution," ERIM Report Series Research in Management ERS-2019-012-LIS, Erasmus Research Institute of Management (ERIM), ERIM is the joint research institute of the Rotterdam School of Management, Erasmus University and the Erasmus School of Economics (ESE) at Erasmus University Rotterdam.
    14. Hartleb, Johann & Schmidt, Marie, 2022. "Railway timetabling with integrated passenger distribution," European Journal of Operational Research, Elsevier, vol. 298(3), pages 953-966.
    15. 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.
    16. Polinder, Gert-Jaap & Schmidt, Marie & Huisman, Dennis, 2021. "Timetabling for strategic passenger railway planning," Transportation Research Part B: Methodological, Elsevier, vol. 146(C), pages 111-135.
    17. João Paiva Fonseca & Tobias Zündorf & Evelien van der Hurk & Yongqiu Zhu & Allan Larsen, 2022. "A matheuristic for passenger service optimization through timetabling with free passenger route choice," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 44(4), pages 1087-1129, December.

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