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Evolution of railway network flexibility: The Spanish broad gauge case

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  • Roanes-Lozano, Eugenio
  • Laita, Luis M.
  • Roanes-Macías, Eugenio
  • Wester, Michael J.
  • Ruiz-Lozano, José Luis
  • Roncero, Carlos

Abstract

The length of the Spanish broad gauge network has decreased in the 1956–2006 period. When looking at different railway maps through this period, it seems that the network is offering fewer and fewer alternatives when a line is cut, that is, the network is becoming less and less flexible. The goal of this article is to prove that the flexibility of the Spanish broad gauge network has decreased substantially in the 1956–2006 period. We have considered the network as a graph (ignoring traditional railway quality indicators such as commercial speed, number of tracks, electrifications, signaling, …) and we have chosen two simple indicators as accurate in this sense: the number of cycles (cycles provide an alternative to reach a station if there is a problem in one line) and the number of stations of intermediate degree. To achieve this, we have developed a piece of software that is an ad hoc extension of Maple’s networks package.

Suggested Citation

  • Roanes-Lozano, Eugenio & Laita, Luis M. & Roanes-Macías, Eugenio & Wester, Michael J. & Ruiz-Lozano, José Luis & Roncero, Carlos, 2009. "Evolution of railway network flexibility: The Spanish broad gauge case," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 79(8), pages 2317-2332.
    • Handle: RePEc:eee:matcom:v:79:y:2009:i:8:p:2317-2332
    DOI: 10.1016/j.matcom.2008.11.007
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    References listed on IDEAS

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    1. Claussen, Jens Christian, 2007. "Offdiagonal complexity: A computationally quick complexity measure for graphs and networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 375(1), pages 365-373.
    2. Roanes-Lozano, Eugenio & M. Laita, Luis, 1998. "An applicable topology-independent model for railway interlocking systems," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 45(1), pages 175-183.
    3. Rizzoli, Andrea E. & Fornara, Nicoletta & Gambardella, Luca Maria, 2002. "A simulation tool for combined rail/road transport in intermodal terminals," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 59(1), pages 57-71.
    4. Roanes-Lozano, Eugenio & Roanes-Macías, Eugenio & Laita, Luis M., 2000. "Railway interlocking systems and Gröbner bases," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 51(5), pages 473-481.
    5. Seaton, Katherine A. & Hackett, Lisa M., 2004. "Stations, trains and small-world networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 339(3), pages 635-644.
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    Cited by:

    1. Zhang, Jianhua & Hu, Funian & Wang, Shuliang & Dai, Yang & Wang, Yixing, 2016. "Structural vulnerability and intervention of high speed railway networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 462(C), pages 743-751.
    2. Hong, Liu & Ouyang, Min & Peeta, Srinivas & He, Xiaozheng & Yan, Yongze, 2015. "Vulnerability assessment and mitigation for the Chinese railway system under floods," Reliability Engineering and System Safety, Elsevier, vol. 137(C), pages 58-68.
    3. Calzada-Infante, L. & Adenso-Díaz, B. & García Carbajal, S., 2020. "Analysis of the European international railway network and passenger transfers," Chaos, Solitons & Fractals, Elsevier, vol. 141(C).

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