IDEAS home Printed from https://ideas.repec.org/a/inm/ortrsc/v48y2014i1p136-154.html
   My bibliography  Save this article

Flexible Connections in PESP Models for Cyclic Passenger Railway Timetabling

Author

Listed:
  • Leo G. Kroon

    (Rotterdam School of Management, Erasmus University Rotterdam, 3000 DR Rotterdam, The Netherlands; and Netherlands Railways, Process Quality and Innovation, 3500 HA Utrecht, The Netherlands)

  • Leon W. P. Peeters

    (Rotterdam School of Management, Erasmus University Rotterdam, 3000 DR Rotterdam, The Netherlands)

  • Joris C. Wagenaar

    (Rotterdam School of Management, Erasmus University Rotterdam, 3000 DR Rotterdam, The Netherlands)

  • Rob A. Zuidwijk

    (Rotterdam School of Management, Erasmus University Rotterdam, 3000 DR Rotterdam, The Netherlands; and Delft University of Technology, Civil Engineering and Geosciences, 2600 GA Delft, The Netherlands)

Abstract

In this paper we describe how rolling stock and passenger connections in a cyclic railway timetable can be modeled in a flexible way within the model for the Periodic Event-Scheduling Problem (PESP). Usually, PESP models assume that the constraints for rolling stock or passenger connections specify in detail which trains should connect with each other. However, the flexibility described in this paper allows the model to choose which trains should connect with each other in a rolling stock or passenger connection. We express the connection times in a minimum matching of arriving and departing trains in terms of certain process time variables. We also describe an abstract framework demonstrating that, under certain conditions, the extra flexibility can be modeled purely in terms of PESP constraints. The concept of flexible rolling stock and passenger connections is illustrated by an example based on three intercity lines of Netherlands Railways.

Suggested Citation

  • Leo G. Kroon & Leon W. P. Peeters & Joris C. Wagenaar & Rob A. Zuidwijk, 2014. "Flexible Connections in PESP Models for Cyclic Passenger Railway Timetabling," Transportation Science, INFORMS, vol. 48(1), pages 136-154, February.
    • Handle: RePEc:inm:ortrsc:v:48:y:2014:i:1:p:136-154
    DOI: 10.1287/trsc.1120.0453
    as

    Download full text from publisher

    File URL: http://dx.doi.org/10.1287/trsc.1120.0453
    Download Restriction: no
    File URL: https://libkey.io/10.1287/trsc.1120.0453?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
    ---><---

    References listed on IDEAS

    as
    1. Leo Kroon & Dennis Huisman & Erwin Abbink & Pieter-Jan Fioole & Matteo Fischetti & Gábor Maróti & Alexander Schrijver & Adri Steenbeek & Roelof Ybema, 2009. "The New Dutch Timetable: The OR Revolution," Interfaces, INFORMS, vol. 39(1), pages 6-17, February.
    2. Jurjen S. Hooghiemstra & Leo G. Kroon & Michiel A. Odijk & Marc Salomon & Peter J. Zwaneveld, 1999. "Decision Support Systems Support the Search for Win-Win Solutions in Railway Network Design," Interfaces, INFORMS, vol. 29(2), pages 15-32, April.
    3. Leo G. Kroon & Leon W. P. Peeters, 2003. "A Variable Trip Time Model for Cyclic Railway Timetabling," Transportation Science, INFORMS, vol. 37(2), pages 198-212, May.
    4. Kroon, L.G. & Huisman, D. & Abbink, E.J.W. & Fioole, P-J. & Fischetti, M. & Maróti, G. & Schrijver, A. & Steenbeek, A. & Ybema, R., 2008. "The new Dutch timetable: The OR revolution," Econometric Institute Research Papers EI 2008-19, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
    5. Kroon, L.G. & Peeters, L.W.P. & Wagenaar, J.C. & Zuidwijk, R.A., 2012. "Flexible Connections in PESP Models for Cyclic Passenger Railway Timetabling," ERIM Report Series Research in Management ERS-2012-008-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. Kroon, Leo & Maróti, Gábor & Helmrich, Mathijn Retel & Vromans, Michiel & Dekker, Rommert, 2008. "Stochastic improvement of cyclic railway timetables," Transportation Research Part B: Methodological, Elsevier, vol. 42(6), pages 553-570, July.
    7. Morten N. Nielsen & Bjorn Hove & Jens Clausen, 2006. "Constructing periodic timetables using MIP - a case study from DSB S-train," International Journal of Operational Research, Inderscience Enterprises Ltd, vol. 1(3), pages 213-227.
    8. Odijk, Michiel A., 1996. "A constraint generation algorithm for the construction of periodic railway timetables," Transportation Research Part B: Methodological, Elsevier, vol. 30(6), pages 455-464, December.
    9. Ralf Borndörfer & Christian Liebchen, 2008. "When Periodic Timetables Are Suboptimal," Operations Research Proceedings, in: Jörg Kalcsics & Stefan Nickel (ed.), Operations Research Proceedings 2007, pages 449-454, Springer.
    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. Wenliang Zhou & Sha Li & Jing Kang & Yu Huang, 2022. "Capacity-Oriented Train Scheduling of High-Speed Railway Considering the Operation and Maintenance of Rolling Stock," Mathematics, MDPI, vol. 10(10), pages 1-30, May.
    2. Gao, Yuan & Kroon, Leo & Yang, Lixing & Gao, Ziyou, 2018. "Three-stage optimization method for the problem of scheduling additional trains on a high-speed rail corridor," Omega, Elsevier, vol. 80(C), pages 175-191.
    3. Yin, Jiateng & D’Ariano, Andrea & Wang, Yihui & Yang, Lixing & Tang, Tao, 2021. "Timetable coordination in a rail transit network with time-dependent passenger demand," European Journal of Operational Research, Elsevier, vol. 295(1), pages 183-202.
    4. Yin, Jiateng & Yang, Lixing & Tang, Tao & Gao, Ziyou & Ran, Bin, 2017. "Dynamic passenger demand oriented metro train scheduling with energy-efficiency and waiting time minimization: Mixed-integer linear programming approaches," Transportation Research Part B: Methodological, Elsevier, vol. 97(C), pages 182-213.
    5. 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.
    6. Zeyu Wang & Leishan Zhou & Bin Guo & Xing Chen & Hanxiao Zhou, 2021. "An Efficient Hybrid Approach for Scheduling the Train Timetable for the Longer Distance High-Speed Railway," Sustainability, MDPI, vol. 13(5), pages 1-22, February.
    7. Robenek, Tomáš & Maknoon, Yousef & Azadeh, Shadi Sharif & Chen, Jianghang & Bierlaire, Michel, 2016. "Passenger centric train timetabling problem," Transportation Research Part B: Methodological, Elsevier, vol. 89(C), pages 107-126.

    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. Kroon, L.G. & Peeters, L.W.P. & Wagenaar, J.C. & Zuidwijk, R.A., 2012. "Flexible Connections in PESP Models for Cyclic Passenger Railway Timetabling," ERIM Report Series Research in Management ERS-2012-008-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.
    2. Cordone, Roberto & Redaelli, Francesco, 2011. "Optimizing the demand captured by a railway system with a regular timetable," Transportation Research Part B: Methodological, Elsevier, vol. 45(2), pages 430-446, February.
    3. 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.
    4. Sparing, Daniel & Goverde, Rob M.P., 2017. "A cycle time optimization model for generating stable periodic railway timetables," Transportation Research Part B: Methodological, Elsevier, vol. 98(C), pages 198-223.
    5. Lee, Yusin & Lu, Li-Sin & Wu, Mei-Ling & Lin, Dung-Ying, 2017. "Balance of efficiency and robustness in passenger railway timetables," Transportation Research Part B: Methodological, Elsevier, vol. 97(C), pages 142-156.
    6. Zhang, Yongxiang & Peng, Qiyuan & Yao, Yu & Zhang, Xin & Zhou, Xuesong, 2019. "Solving cyclic train timetabling problem through model reformulation: Extended time-space network construct and Alternating Direction Method of Multipliers methods," Transportation Research Part B: Methodological, Elsevier, vol. 128(C), pages 344-379.
    7. Cacchiani, Valentina & Toth, Paolo, 2012. "Nominal and robust train timetabling problems," European Journal of Operational Research, Elsevier, vol. 219(3), pages 727-737.
    8. Barrena, Eva & Canca, David & Coelho, Leandro C. & Laporte, Gilbert, 2014. "Single-line rail rapid transit timetabling under dynamic passenger demand," Transportation Research Part B: Methodological, Elsevier, vol. 70(C), pages 134-150.
    9. Robenek, Tomáš & Maknoon, Yousef & Azadeh, Shadi Sharif & Chen, Jianghang & Bierlaire, Michel, 2016. "Passenger centric train timetabling problem," Transportation Research Part B: Methodological, Elsevier, vol. 89(C), pages 107-126.
    10. Polinder, G.-J. & Breugem, T. & Dollevoet, T.A.B. & Maróti, G., 2019. "An Adjustable Robust Optimization Approach for Periodic Timetabling," Econometric Institute Research Papers EI2019-01, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
    11. Matthew E. H. Petering & Mojtaba Heydar & Dietrich R. Bergmann, 2016. "Mixed-Integer Programming for Railway Capacity Analysis and Cyclic, Combined Train Timetabling and Platforming," Transportation Science, INFORMS, vol. 50(3), pages 892-909, August.
    12. Zhou, Wenliang & Tian, Junli & Xue, Lijuan & Jiang, Min & Deng, Lianbo & Qin, Jin, 2017. "Multi-periodic train timetabling using a period-type-based Lagrangian relaxation decomposition," Transportation Research Part B: Methodological, Elsevier, vol. 105(C), pages 144-173.
    13. Polinder, Gert-Jaap & Breugem, Thomas & Dollevoet, Twan & Maróti, Gábor, 2019. "An adjustable robust optimization approach for periodic timetabling," Transportation Research Part B: Methodological, Elsevier, vol. 128(C), pages 50-68.
    14. van Lieshout, R.N., 2019. "Integrated Periodic Timetabling and Vehicle Circulation Scheduling," Econometric Institute Research Papers EI2019-27, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
    15. Laurent Daudet & Frédéric Meunier, 2020. "Minimizing the waiting time for a one-way shuttle service," Journal of Scheduling, Springer, vol. 23(1), pages 95-115, February.
    16. Michael F. Gorman & John-Paul Clarke & Amir Hossein Gharehgozli & Michael Hewitt & René de Koster & Debjit Roy, 2014. "State of the Practice: A Review of the Application of OR/MS in Freight Transportation," Interfaces, INFORMS, vol. 44(6), pages 535-554, December.
    17. Twan Dollevoet & Dennis Huisman & Marie Schmidt & Anita Schöbel, 2012. "Delay Management with Rerouting of Passengers," Transportation Science, INFORMS, vol. 46(1), pages 74-89, February.
    18. Martin Josef Geiger & Sandra Huber & Sebastian Langton & Marius Leschik & Christian Lindorf & Ulrich Tüshaus, 2018. "Multi-attribute assignment of trains to departures in rolling stock management," Annals of Operations Research, Springer, vol. 271(2), pages 1131-1163, December.
    19. Yan, Fei & Bešinović, Nikola & Goverde, Rob M.P., 2019. "Multi-objective periodic railway timetabling on dense heterogeneous railway corridors," Transportation Research Part B: Methodological, Elsevier, vol. 125(C), pages 52-75.
    20. Rolf N. Van Lieshout, 2021. "Integrated Periodic Timetabling and Vehicle Circulation Scheduling," Transportation Science, INFORMS, vol. 55(3), pages 768-790, May.

    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:inm:ortrsc:v:48:y:2014:i:1:p:136-154. 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: Chris Asher (email available below). General contact details of provider: https://edirc.repec.org/data/inforea.html .

    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.