IDEAS home Printed from https://ideas.repec.org/a/eee/transa/v84y2016icp83-92.html
   My bibliography  Save this article

Analyzing the theoretical capacity of railway networks with a radial-backbone topology

Author

Listed:
  • Ortega Riejos, Francisco A.
  • Barrena, Eva
  • Canca Ortiz, J. David
  • Laporte, Gilbert

Abstract

In this work we propose a mechanism to optimize the capacity of the main corridor within a railway network with a radial-backbone or X-tree structure. The radial-backbone (or X-tree) structure is composed of two types of lines: the primary lines that travel exclusively on the common backbone (main corridor) and radial lines which, starting from the common backbone, branch out to individual locations. We define possible line configurations as binary strings and propose operators on them for their analysis, yielding an effective algorithm for generating an optimal design and train frequencies. We test our algorithm on real data for the high speed line Madrid–Seville. A frequency plan consistent with the optimal capacity is then proposed in order to eliminate the number of transfers between lines as well as to minimize the network fleet size, determining the minimum number of vehicles needed to serve all travel demand at maximum occupancy.

Suggested Citation

  • Ortega Riejos, Francisco A. & Barrena, Eva & Canca Ortiz, J. David & Laporte, Gilbert, 2016. "Analyzing the theoretical capacity of railway networks with a radial-backbone topology," Transportation Research Part A: Policy and Practice, Elsevier, vol. 84(C), pages 83-92.
    • Handle: RePEc:eee:transa:v:84:y:2016:i:c:p:83-92
    DOI: 10.1016/j.tra.2015.03.018
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S096585641500066X
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.tra.2015.03.018?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. Mussone, Lorenzo & Wolfler Calvo, Roberto, 2013. "An analytical approach to calculate the capacity of a railway system," European Journal of Operational Research, Elsevier, vol. 228(1), pages 11-23.
    2. 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.
    3. Kraft, Edwin R., 1988. "Analytical Models for Rail Line Capacity Analysis," Journal of the Transportation Research Forum, Transportation Research Forum, vol. 29(1).
    4. Harrod, Steven, 2009. "Capacity factors of a mixed speed railway network," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 45(5), pages 830-841, September.
    5. Dejan Jovanović & Patrick T. Harker, 1991. "Tactical Scheduling of Rail Operations: The SCAN I System," Transportation Science, INFORMS, vol. 25(1), pages 46-64, February.
    6. Carl D. Martland, 1982. "PMAKE Analysis: Predicting Rail Yard Time Distributions Using Probabilistic Train Connection Standards," Transportation Science, INFORMS, vol. 16(4), pages 476-506, November.
    7. Bintong Chen & Patrick T. Harker, 1990. "Two Moments Estimation of the Delay on Single-Track Rail Lines with Scheduled Traffic," Transportation Science, INFORMS, vol. 24(4), pages 261-275, November.
    8. Burdett, R.L. & Kozan, E., 2006. "Techniques for absolute capacity determination in railways," Transportation Research Part B: Methodological, Elsevier, vol. 40(8), pages 616-632, September.
    9. Higgins, A. & Kozan, E. & Ferreira, L., 1996. "Optimal scheduling of trains on a single line track," Transportation Research Part B: Methodological, Elsevier, vol. 30(2), pages 147-161, April.
    10. E. R. Petersen & A. J. Taylor, 1982. "A Structured Model for Rail Line Simulation and Optimization," Transportation Science, INFORMS, vol. 16(2), pages 192-206, May.
    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. Guido Marseglia & Carlo Maria Medaglia & Francisco A. Ortega & Juan A. Mesa, 2019. "Optimal Alignments for Designing Urban Transport Systems: Application to Seville," Sustainability, MDPI, vol. 11(18), pages 1-14, September.
    2. Bi, Mingkai & He, Shiwei & Xu, Wangtu (Ato), 2019. "Express delivery with high-speed railway: Definitely feasible or just a publicity stunt," Transportation Research Part A: Policy and Practice, Elsevier, vol. 120(C), pages 165-187.

    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. Li, Feng & Gao, Ziyou & Wang, David Z.W. & Liu, Ronghui & Tang, Tao & Wu, Jianjun & Yang, Lixing, 2017. "A subjective capacity evaluation model for single-track railway system with δ-balanced traffic and λ-tolerance level," Transportation Research Part B: Methodological, Elsevier, vol. 105(C), pages 43-66.
    2. Masoud Yaghini & Mohammadreza Sarmadi & Nariman Nikoo & Mohsen Momeni, 2014. "Capacity Consumption Analysis Using Heuristic Solution Method for Under Construction Railway Routes," Networks and Spatial Economics, Springer, vol. 14(3), pages 317-333, December.
    3. Line Blander Reinhardt & David Pisinger & Richard Lusby, 2018. "Railway capacity and expansion analysis using time discretized paths," Flexible Services and Manufacturing Journal, Springer, vol. 30(4), pages 712-739, December.
    4. Zhang, Jiamin, 2015. "Analysis on line capacity usage for China high speed railway with optimization approach," Transportation Research Part A: Policy and Practice, Elsevier, vol. 77(C), pages 336-349.
    5. 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.
    6. Zhou, Xuesong & Zhong, Ming, 2007. "Single-track train timetabling with guaranteed optimality: Branch-and-bound algorithms with enhanced lower bounds," Transportation Research Part B: Methodological, Elsevier, vol. 41(3), pages 320-341, March.
    7. Burdett, RL, 2016. "Optimisation models for expanding a railway's theoretical capacity," European Journal of Operational Research, Elsevier, vol. 251(3), pages 783-797.
    8. Enrique Castillo & Inmaculada Gallego & José Ureña & José Coronado, 2009. "Timetabling optimization of a single railway track line with sensitivity analysis," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 17(2), pages 256-287, December.
    9. Hallowell, Susan F. & Harker, Patrick T., 1998. "Predicting on-time performance in scheduled railroad operations: methodology and application to train scheduling," Transportation Research Part A: Policy and Practice, Elsevier, vol. 32(4), pages 279-295, May.
    10. Li, Feng & Sheu, Jiuh-Biing & Gao, Zi-You, 2014. "Deadlock analysis, prevention and train optimal travel mechanism in single-track railway system," Transportation Research Part B: Methodological, Elsevier, vol. 68(C), pages 385-414.
    11. Mussone, Lorenzo & Wolfler Calvo, Roberto, 2013. "An analytical approach to calculate the capacity of a railway system," European Journal of Operational Research, Elsevier, vol. 228(1), pages 11-23.
    12. Jovanović, Predrag & Pavlović, Norbert & Belošević, Ivan & Milinković, Sanjin, 2020. "Graph coloring-based approach for railway station design analysis and capacity determination," European Journal of Operational Research, Elsevier, vol. 287(1), pages 348-360.
    13. Adenso-Díaz, B. & Oliva González, M. & González-Torre, P., 1999. "On-line timetable re-scheduling in regional train services," Transportation Research Part B: Methodological, Elsevier, vol. 33(6), pages 387-398, August.
    14. 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.
    15. Jean-François Cordeau & Paolo Toth & Daniele Vigo, 1998. "A Survey of Optimization Models for Train Routing and Scheduling," Transportation Science, INFORMS, vol. 32(4), pages 380-404, November.
    16. Ghoseiri, Keivan & Szidarovszky, Ferenc & Asgharpour, Mohammad Jawad, 2004. "A multi-objective train scheduling model and solution," Transportation Research Part B: Methodological, Elsevier, vol. 38(10), pages 927-952, December.
    17. 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.
    18. Leachman, Robert C. & Jula, Payman, 2012. "Estimating flow times for containerized imports from Asia to the United States through the Western rail network," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 48(1), pages 296-309.
    19. Li, Feng & Gao, Ziyou & Li, Keping & Yang, Lixing, 2008. "Efficient scheduling of railway traffic based on global information of train," Transportation Research Part B: Methodological, Elsevier, vol. 42(10), pages 1008-1030, December.
    20. Carey, Malachy & Kwiecinski, Andrzej, 1995. "Properties of expected costs and performance measures in stochastic models of scheduled transport," European Journal of Operational Research, Elsevier, vol. 83(1), pages 182-199, 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:eee:transa:v:84:y:2016:i:c:p:83-92. 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/547/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.