IDEAS home Printed from https://ideas.repec.org/a/eee/retrec/v54y2015icp2-14.html
   My bibliography  Save this article

Modelling periodic operations on single track lines: Timetable design and stability evaluation

Author

Listed:
  • Coviello, Nicola

Abstract

The paper analyses the application of high-frequency periodic timetables on single track railways. A mesoscopic approach is first of all presented, in order to provide a simple but rather complete model. On this basis, a mathematical and deterministic evaluation formula is presented, as well as a simulation tool able to evaluate the effects of traffic perturbations. All the main parameters which characterise railway operations (with a special focus on single track infrastructure) are taken into consideration and their influence is pointed out, as regards the possibility to realise high frequency periodic timetables. The analysis is subsequently extended for assessing how these timetables can behave in case of traffic perturbations, in order to provide also in these circumstances a sufficient service quality. The influence of the abovementioned parameters on buffer times and hence on timetable stability and robustness is therefore outlined, highlighting the benefits that an effective rescheduling algorithm could play. The presented calculation method is then applied to a real case, i.e. to a part of the railway network of Piedmont, Italy. This case study provides some considerations about the elements that can actually play a determinant role and what measures can be planned for achieving certain service targets. Finally, conclusions are drawn together with some considerations for future work about the possible implementation of effective rescheduling logics within advanced driver advisory systems as well as modern signalling and control systems.

Suggested Citation

  • Coviello, Nicola, 2015. "Modelling periodic operations on single track lines: Timetable design and stability evaluation," Research in Transportation Economics, Elsevier, vol. 54(C), pages 2-14.
  • Handle: RePEc:eee:retrec:v:54:y:2015:i:c:p:2-14
    DOI: 10.1016/j.retrec.2015.10.020
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0739885915000645
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.retrec.2015.10.020?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. Dollevoet, T.A.B. & Huisman, D., 2011. "Fast Heuristics for Delay Management with Passenger Rerouting," Econometric Institute Research Papers EI 2011-35, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
    2. Michael Schachtebeck & Anita Schöbel, 2010. "To Wait or Not to Wait---And Who Goes First? Delay Management with Priority Decisions," Transportation Science, INFORMS, vol. 44(3), pages 307-321, August.
    3. Abril, M. & Barber, F. & Ingolotti, L. & Salido, M.A. & Tormos, P. & Lova, A., 2008. "An assessment of railway capacity," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 44(5), pages 774-806, September.
    4. Alberto Caprara & Matteo Fischetti & Paolo Toth, 2002. "Modeling and Solving the Train Timetabling Problem," Operations Research, INFORMS, vol. 50(5), pages 851-861, October.
    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. 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.

    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. Schön, Cornelia & König, Eva, 2018. "A stochastic dynamic programming approach for delay management of a single train line," European Journal of Operational Research, Elsevier, vol. 271(2), pages 501-518.
    2. 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.
    3. Cacchiani, Valentina & Furini, Fabio & Kidd, Martin Philip, 2016. "Approaches to a real-world Train Timetabling Problem in a railway node," Omega, Elsevier, vol. 58(C), pages 97-110.
    4. Dollevoet, T.A.B. & Huisman, D. & Schöbel, A. & Schmidt, M.E., 2012. "Delay Management including Capacities of Stations," Econometric Institute Research Papers EI 2012-22, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
    5. Zhan, Shuguang & Kroon, Leo G. & Veelenturf, Lucas P. & Wagenaar, Joris C., 2015. "Real-time high-speed train rescheduling in case of a complete blockage," Transportation Research Part B: Methodological, Elsevier, vol. 78(C), pages 182-201.
    6. Talebian, Ahmadreza & Zou, Bo, 2015. "Integrated modeling of high performance passenger and freight train planning on shared-use corridors in the US," Transportation Research Part B: Methodological, Elsevier, vol. 82(C), pages 114-140.
    7. Gedik, Ridvan & Medal, Hugh & Rainwater, Chase & Pohl, Ed A. & Mason, Scott J., 2014. "Vulnerability assessment and re-routing of freight trains under disruptions: A coal supply chain network application," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 71(C), pages 45-57.
    8. Bettinelli, Andrea & Santini, Alberto & Vigo, Daniele, 2017. "A real-time conflict solution algorithm for the train rescheduling problem," Transportation Research Part B: Methodological, Elsevier, vol. 106(C), pages 237-265.
    9. Zhang, Chuntian & Gao, Yuan & Cacchiani, Valentina & Yang, Lixing & Gao, Ziyou, 2023. "Train rescheduling for large-scale disruptions in a large-scale railway network," Transportation Research Part B: Methodological, Elsevier, vol. 174(C).
    10. Yang, Xin & Chen, Anthony & Ning, Bin & Tang, Tao, 2017. "Bi-objective programming approach for solving the metro timetable optimization problem with dwell time uncertainty," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 97(C), pages 22-37.
    11. Twan Dollevoet & Dennis Huisman & Leo Kroon & Marie Schmidt & Anita Schöbel, 2015. "Delay Management Including Capacities of Stations," Transportation Science, INFORMS, vol. 49(2), pages 185-203, May.
    12. Jonas Harbering, 2017. "Delay resistant line planning with a view towards passenger transfers," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 25(3), pages 467-496, October.
    13. Louwerse, Ilse & Huisman, Dennis, 2014. "Adjusting a railway timetable in case of partial or complete blockades," European Journal of Operational Research, Elsevier, vol. 235(3), pages 583-593.
    14. Dollevoet, T.A.B. & Corman, F. & D'Ariano, A. & Huisman, D., 2012. "An Iterative Optimization Framework for Delay Management and Train Scheduling," Econometric Institute Research Papers EI 2012-10, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
    15. Francesco Rotoli & Elena Navajas Cawood & Antonio Soria, 2016. "Capacity assessment of railway infrastructure: Tools, methodologies and policy relevance in the EU context," JRC Research Reports JRC100509, Joint Research Centre.
    16. Wang, Dian & D’Ariano, Andrea & Zhao, Jun & Zhong, Qingwei & Peng, Qiyuan, 2022. "Integrated rolling stock deadhead routing and timetabling in urban rail transit lines," European Journal of Operational Research, Elsevier, vol. 298(2), pages 526-559.
    17. de Lima, Vinícius L. & Alves, Cláudio & Clautiaux, François & Iori, Manuel & Valério de Carvalho, José M., 2022. "Arc flow formulations based on dynamic programming: Theoretical foundations and applications," European Journal of Operational Research, Elsevier, vol. 296(1), pages 3-21.
    18. Omar J. Ibarra-Rojas & Fernando López-Irarragorri & Yasmin A. Rios-Solis, 2016. "Multiperiod Bus Timetabling," Transportation Science, INFORMS, vol. 50(3), pages 805-822, August.
    19. 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.
    20. Behiri, Walid & Belmokhtar-Berraf, Sana & Chu, Chengbin, 2018. "Urban freight transport using passenger rail network: Scientific issues and quantitative analysis," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 115(C), pages 227-245.

    More about this item

    Keywords

    Single track; Periodic timetable; Analytical modelling; Capacity;
    All these keywords.

    JEL classification:

    • L92 - Industrial Organization - - Industry Studies: Transportation and Utilities - - - Railroads and Other Surface Transportation

    Statistics

    Access and download statistics

    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:eee:retrec:v:54:y:2015:i:c:p:2-14. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/wps/find/journaldescription.cws_home/620614/description#description .

    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.