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Adding a new station and a road link to a road–rail network in the presence of modal competition

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  • Perea, Federico
  • Mesa, Juan A.
  • Laporte, Gilbert

Abstract

In this paper we study the problem of locating a new station on an existing rail corridor and a new junction on an existing road network, and connecting them with a new road segment under a budget constraint. We consider three objective functions and the corresponding optimization problems, which are modeled by means of mixed integer non-linear programs. For small instances, the models can be solved directly by a standard solver. For large instances, an enumerative algorithm based on a discretization of the problem is proposed. Computational experiments show that the latter approach yields high quality solutions within short computing times.

Suggested Citation

  • Perea, Federico & Mesa, Juan A. & Laporte, Gilbert, 2014. "Adding a new station and a road link to a road–rail network in the presence of modal competition," Transportation Research Part B: Methodological, Elsevier, vol. 68(C), pages 1-16.
    • Handle: RePEc:eee:transb:v:68:y:2014:i:c:p:1-16
    DOI: 10.1016/j.trb.2014.05.015
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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.
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    3. Mark-Christoph Körner & Juan Mesa & Federico Perea & Anita Schöbel & Daniel Scholz, 2014. "A maximum trip covering location problem with an alternative mode of transportation on tree networks and segments," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 22(1), pages 227-253, April.
    4. Laporte, Gilbert & Mesa, Juan A. & Perea, Federico, 2010. "A game theoretic framework for the robust railway transit network design problem," Transportation Research Part B: Methodological, Elsevier, vol. 44(4), pages 447-459, May.
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    Cited by:

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    3. López-de-los-Mozos, M.C. & Mesa, Juan A. & Schöbel, Anita, 2017. "A general approach for the location of transfer points on a network with a trip covering criterion and mixed distances," European Journal of Operational Research, Elsevier, vol. 260(1), pages 108-121.
    4. Repolho, Hugo M. & Church, Richard L. & Antunes, António P., 2016. "Optimizing station location and fleet composition for a high-speed rail line," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 93(C), pages 437-452.

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