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Maximizing Trip Coverage in the Location of a Single Rapid Transit Alignment

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  • Gilbert Laporte
  • Juan Mesa
  • Francisco Ortega
  • Ignacio Sevillano

Abstract

This article describes several heuristics for the construction of a rapid transit alignment. The objective is the maximization of the total origin-destination demand covered by the alignment. Computational results show that the best results are provided by a simple greedy extension heuristic. This conclusion is confirmed on the Sevilla data for scenarios when the upper bound for inter-station distance is greater than 1250 m. Otherwise, when those upper bounds are smaller (750 m and 1000 m), an insertion heuristic followed by a post-optimization phase yields the best results. Computational times are always insignificant. Copyright Springer Science + Business Media, Inc. 2005

Suggested Citation

  • 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.
    • Handle: RePEc:spr:annopr:v:136:y:2005:i:1:p:49-63:10.1007/s10479-005-2038-0
    DOI: 10.1007/s10479-005-2038-0
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    References listed on IDEAS

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    Cited by:

    1. Canca, David & De-Los-Santos, Alicia & Laporte, Gilbert & Mesa, Juan A., 2019. "Integrated Railway Rapid Transit Network Design and Line Planning problem with maximum profit," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 127(C), pages 1-30.
    2. Seyed Sina Mohri & Meisam Akbarzadeh, 2019. "Locating key stations of a metro network using bi-objective programming: discrete and continuous demand mode," Public Transport, Springer, vol. 11(2), pages 321-340, August.
    3. Konrad Steiner & Stefan Irnich, 2018. "Schedule-Based Integrated Intercity Bus Line Planning via Branch-and-Cut," Transportation Science, INFORMS, vol. 52(4), pages 882-897, August.
    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.
    5. Anita Schöbel & Silvia Schwarze, 2013. "Finding delay-resistant line concepts using a game-theoretic approach," Netnomics, Springer, vol. 14(3), pages 95-117, November.
    6. 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.
    7. An, Kun & Lo, Hong K., 2016. "Two-phase stochastic program for transit network design under demand uncertainty," Transportation Research Part B: Methodological, Elsevier, vol. 84(C), pages 157-181.
    8. Goerigk, Marc & Schmidt, Marie, 2017. "Line planning with user-optimal route choice," European Journal of Operational Research, Elsevier, vol. 259(2), pages 424-436.
    9. 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.
    10. M. C. López-de-los-Mozos & Juan A. Mesa, 2022. "To stop or not to stop: a time-constrained trip covering location problem on a tree network," Annals of Operations Research, Springer, vol. 316(2), pages 1039-1061, September.
    11. 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.
    12. Ángel Marín & Patricia Jaramillo, 2009. "Urban rapid transit network design: accelerated Benders decomposition," Annals of Operations Research, Springer, vol. 169(1), pages 35-53, July.
    13. 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.
    14. Mathias Michaelis & Anita Schöbel, 2009. "Integrating line planning, timetabling, and vehicle scheduling: a customer-oriented heuristic," Public Transport, Springer, vol. 1(3), pages 211-232, August.
    15. Konrad Steiner & Stefan Irnich, 2016. "Schedule-based integrated inter-city bus line planning via branch-and-cut," Working Papers 1608, Gutenberg School of Management and Economics, Johannes Gutenberg-Universität Mainz.
    16. Eusebio Angulo & Ricardo García-Ródenas & José Luis Espinosa-Aranda, 2016. "A Lagrangian relaxation approach for expansion of a highway network," Annals of Operations Research, Springer, vol. 246(1), pages 101-126, November.
    17. 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.
    18. Tanaka, Ken-ichi & Furuta, Takehiro & Toriumi, Shigeki, 2019. "Railway flow interception location model: Model development and case study of Tokyo metropolitan railway network," Operations Research Perspectives, Elsevier, vol. 6(C).
    19. Wang, David Z.W. & Lo, Hong K., 2016. "Financial sustainability of rail transit service: The effect of urban development pattern," Transport Policy, Elsevier, vol. 48(C), pages 23-33.
    20. 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.
    21. Marí­n, íngel & Jaramillo, Patricia, 2008. "Urban rapid transit network capacity expansion," European Journal of Operational Research, Elsevier, vol. 191(1), pages 45-60, November.
    22. An, Kun & Lo, Hong K., 2015. "Robust transit network design with stochastic demand considering development density," Transportation Research Part B: Methodological, Elsevier, vol. 81(P3), pages 737-754.

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