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Improved rapid transit network design model: considering transfer effects

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  • Luis Cadarso

    (Rey Juan Carlos University)

  • Ángel Marín

    (Technical University of Madrid)

Abstract

The rail rapid transit network design problem aims at locating train alignments and stations, maximizing demand coverage while competing with the current existing networks. We present a model formulation for computing tight bounds of the linear relaxation of the problem where transfers are also introduced. The number of transfers within a trip is a decisive attribute for attracting passengers: transferring is annoying and undesirable for passengers. We conduct computational experiments on different networks and show how we are able to solve more efficiently problems that have been already solved; sensitivity analysis on several model parameters are also performed so as to demonstrate the robustness of the new formulation.

Suggested Citation

  • Luis Cadarso & Ángel Marín, 2017. "Improved rapid transit network design model: considering transfer effects," Annals of Operations Research, Springer, vol. 258(2), pages 547-567, November.
    • Handle: RePEc:spr:annopr:v:258:y:2017:i:2:d:10.1007_s10479-015-1999-x
    DOI: 10.1007/s10479-015-1999-x
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    References listed on IDEAS

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    1. Hugo M. Repolho & António P. Antunes & Richard L. Church, 2013. "Optimal Location of Railway Stations: The Lisbon-Porto High-Speed Rail Line," Transportation Science, INFORMS, vol. 47(3), pages 330-343, August.
    2. Luis Cadarso & Ángel Marín, 2012. "Integration of timetable planning and rolling stock in rapid transit networks," Annals of Operations Research, Springer, vol. 199(1), pages 113-135, October.
    3. Marí­n, íngel & Jaramillo, Patricia, 2008. "Urban rapid transit network capacity expansion," European Journal of Operational Research, Elsevier, vol. 191(1), pages 45-60, November.
    4. Laporte, Gilbert & Mesa, Juan A. & Ortega, Francisco A., 2000. "Optimization methods for the planning of rapid transit systems," European Journal of Operational Research, Elsevier, vol. 122(1), pages 1-10, April.
    5. L. Escudero & S. Muñoz, 2009. "An approach for solving a modification of the extended rapid transit network design problem," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 17(2), pages 320-334, December.
    6. Bruno, Giuseppe & Ghiani, Gianpaolo & Improta, Gennaro, 1998. "A multi-modal approach to the location of a rapid transit line," European Journal of Operational Research, Elsevier, vol. 104(2), pages 321-332, January.
    7. Laporte, G. & Mesa, J.A. & Ortega, F.A. & Perea, F., 2011. "Planning rapid transit networks," Socio-Economic Planning Sciences, Elsevier, vol. 45(3), pages 95-104, September.
    8. 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.
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