IDEAS home Printed from https://ideas.repec.org/a/spr/pubtra/v1y2009i3d10.1007_s12469-009-0014-9.html
   My bibliography  Save this article

Integrating line planning, timetabling, and vehicle scheduling: a customer-oriented heuristic

Author

Listed:
  • Mathias Michaelis

    (Universität Göttingen)

  • Anita Schöbel

    (Universität Göttingen)

Abstract

Given an existing public transportation network, the classic planning process in public transportation is as follows: In a first step, the lines are designed; in a second step a timetable is calculated and finally the vehicle and crew schedules are planned. The drawback of this sequence is that the main factors for the costs (i.e. the number of vehicles and drivers needed) are only determined in a late stage of the planning process. We hence suggest to reorder the classic sequence of the planning steps: In our new approach we first design the vehicle routes, then split them to lines and finally calculate a (periodic) timetable. The advantage is that costs can be controlled during the whole process while the objective in all three steps is customer-oriented. In the paper we formulate an integrated model from which we develop this new approach, discuss the complexity of the resulting problems, and present a heuristic which we applied within a case study, optimizing the local bus system in Göttingen, Germany.

Suggested Citation

  • Mathias Michaelis & Anita Schöbel, 2009. "Integrating line planning, timetabling, and vehicle scheduling: a customer-oriented heuristic," Public Transport, Springer, vol. 1(3), pages 211-232, August.
    • Handle: RePEc:spr:pubtra:v:1:y:2009:i:3:d:10.1007_s12469-009-0014-9
    DOI: 10.1007/s12469-009-0014-9
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s12469-009-0014-9
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1007/s12469-009-0014-9?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Clifford S. Orloff, 1976. "Route Constrained Fleet Scheduling," Transportation Science, INFORMS, vol. 10(2), pages 149-168, May.
    2. Goossens, Jan-Willem & van Hoesel, Stan & Kroon, Leo, 2006. "On solving multi-type railway line planning problems," European Journal of Operational Research, Elsevier, vol. 168(2), pages 403-424, January.
    3. Gilbert Laporte & Juan Mesa & Francisco Ortega & Ignacio Sevillano, 2005. "Maximizing Trip Coverage in the Location of a Single Rapid Transit Alignment," Annals of Operations Research, Springer, vol. 136(1), pages 49-63, April.
    4. Domschke, Wolfgang, 1989. "Schedule synchronization for public transit networks," Publications of Darmstadt Technical University, Institute for Business Studies (BWL) 39291, Darmstadt Technical University, Department of Business Administration, Economics and Law, Institute for Business Studies (BWL).
    5. 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.
    6. Michael R. Bussieck & Thomas Lindner & Marco E. Lübbecke, 2004. "A fast algorithm for near cost optimal line plans," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 59(2), pages 205-220, June.
    7. Pepin, A.S. & Desaulniers, G. & Hertz, A. & Huisman, D., 2006. "Comparison of heuristic approaches for the multiple depot vehicle scheduling problem," Econometric Institute Research Papers EI 2006-34, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
    8. Ceder, Avishai & Wilson, Nigel H. M., 1986. "Bus network design," Transportation Research Part B: Methodological, Elsevier, vol. 20(4), pages 331-344, August.
    9. Guan, J.F. & Yang, Hai & Wirasinghe, S.C., 2006. "Simultaneous optimization of transit line configuration and passenger line assignment," Transportation Research Part B: Methodological, Elsevier, vol. 40(10), pages 885-902, December.
    10. Claessens, M. T. & van Dijk, N. M. & Zwaneveld, P. J., 1998. "Cost optimal allocation of rail passenger lines," European Journal of Operational Research, Elsevier, vol. 110(3), pages 474-489, November.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Zhang, Yongxiang & Peng, Qiyuan & Lu, Gongyuan & Zhong, Qingwei & Yan, Xu & Zhou, Xuesong, 2022. "Integrated line planning and train timetabling through price-based cross-resolution feedback mechanism," Transportation Research Part B: Methodological, Elsevier, vol. 155(C), pages 240-277.
    2. Chen, Yao & An, Kun, 2021. "Integrated optimization of bus bridging routes and timetables for rail disruptions," European Journal of Operational Research, Elsevier, vol. 295(2), pages 484-498.
    3. 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).
    4. Wenliang Zhou & Mehdi Oldache, 2021. "Integrated Optimization of Line Planning, Timetabling and Rolling Stock Allocation for Urban Railway Lines," Sustainability, MDPI, vol. 13(23), pages 1-32, November.
    5. Kayhan Alamatsaz & Sadam Hussain & Chunyan Lai & Ursula Eicker, 2022. "Electric Bus Scheduling and Timetabling, Fast Charging Infrastructure Planning, and Their Impact on the Grid: A Review," Energies, MDPI, vol. 15(21), pages 1-39, October.
    6. Xuekai Cen & Kanghui Ren & Yiying Cai & Qun Chen, 2023. "Designing Flexible-Bus System with Ad-Hoc Service Using Travel-Demand Clustering," Mathematics, MDPI, vol. 11(4), pages 1-27, February.
    7. 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.
    8. 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.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Schiewe, Alexander & Schiewe, Philine & Schmidt, Marie, 2019. "The line planning routing game," European Journal of Operational Research, Elsevier, vol. 274(2), pages 560-573.
    2. Zhang, Yongxiang & Peng, Qiyuan & Lu, Gongyuan & Zhong, Qingwei & Yan, Xu & Zhou, Xuesong, 2022. "Integrated line planning and train timetabling through price-based cross-resolution feedback mechanism," Transportation Research Part B: Methodological, Elsevier, vol. 155(C), pages 240-277.
    3. Hamid, Faiz & Agarwal, Yogesh K., 2024. "Train stop scheduling problem: An exact approach using valid inequalities and polar duality," European Journal of Operational Research, Elsevier, vol. 313(1), pages 207-224.
    4. Goerigk, Marc & Schmidt, Marie, 2017. "Line planning with user-optimal route choice," European Journal of Operational Research, Elsevier, vol. 259(2), pages 424-436.
    5. Jinfei Wu & Xinghua Shan & Jingxia Sun & Shengyuan Weng & Shuo Zhao, 2023. "Daily Line Planning Optimization for High-Speed Railway Lines," Sustainability, MDPI, vol. 15(4), pages 1-20, February.
    6. Fu, Huiling & Nie, Lei & Meng, Lingyun & Sperry, Benjamin R. & He, Zhenhuan, 2015. "A hierarchical line planning approach for a large-scale high speed rail network: The China case," Transportation Research Part A: Policy and Practice, Elsevier, vol. 75(C), pages 61-83.
    7. 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.
    8. 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.
    9. Wenliang Zhou & Yujun Huang & Naijie Chai & Bo Li & Xiang Li, 2022. "A Line Planning Optimization Model for High-Speed Railway Network Merging Newly-Built Railway Lines," Mathematics, MDPI, vol. 10(17), pages 1-34, September.
    10. Gattermann, P. & Schiewe, A. & Schmidt, M.E., 2014. "The line planning routing game," ERIM Report Series Research in Management ERS-2014-017-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.
    11. David Canca & Belén Navarro-Carmona & Gabriel Villa & Alejandro Zarzo, 2023. "A Multilayer Network Approach for the Bimodal Bus–Pedestrian Line Planning Problem," Mathematics, MDPI, vol. 11(19), pages 1-36, October.
    12. 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.
    13. 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.
    14. Guan, J.F. & Yang, Hai & Wirasinghe, S.C., 2006. "Simultaneous optimization of transit line configuration and passenger line assignment," Transportation Research Part B: Methodological, Elsevier, vol. 40(10), pages 885-902, December.
    15. Evelien van der Hurk & Haris N. Koutsopoulos & Nigel Wilson & Leo G. Kroon & Gábor Maróti, 2016. "Shuttle Planning for Link Closures in Urban Public Transport Networks," Transportation Science, INFORMS, vol. 50(3), pages 947-965, August.
    16. Philine Gattermann & Jonas Harbering & Anita Schöbel, 2017. "Line pool generation," Public Transport, Springer, vol. 9(1), pages 7-32, July.
    17. 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.
    18. Canca, David & Barrena, Eva & De-Los-Santos, Alicia & Andrade-Pineda, José Luis, 2016. "Setting lines frequency and capacity in dense railway rapid transit networks with simultaneous passenger assignment," Transportation Research Part B: Methodological, Elsevier, vol. 93(PA), pages 251-267.
    19. Xin Zhang & Lei Nie & Xin Wu & Yu Ke, 2020. "How to Optimize Train Stops under Diverse Passenger Demand: a New Line Planning Method for Large-Scale High-Speed Rail Networks," Networks and Spatial Economics, Springer, vol. 20(4), pages 963-988, December.
    20. 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.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:pubtra:v:1:y:2009:i:3:d:10.1007_s12469-009-0014-9. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.