Skip to main content
Log in

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

  • Published:
Annals of Operations Research Aims and scope Submit manuscript

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.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Bouzaïene-Ayari, B., M. Gendreau, and S. Nguyen. (2001). “Modeling Bus Stops in Transit Networks: A Survey and New Formulations.” Transportation Science 35, 304–321.

    Article  Google Scholar 

  • Brimberg, J. and R.F. Love. (1993). “A New Distance Function for Modeling Travel Distances on a Transportation Network.” Transportation Science 27, 129–137.

    Google Scholar 

  • Brimberg, J., R.F. Love, and J.H. Walker. (1995). “The Effect of Axis Rotation on Distance Estimation.” European Journal of Operational Research 80, 357–364.

    Article  Google Scholar 

  • Bruno, G., M. Gendreau, and G. Laporte. (2002). “A Heuristic for the Location of a Rapid Transit Line.” Computers & Operations Research 29, 1–12.

    Article  Google Scholar 

  • Chapleau, R., P. Lavigueur, and K. Baass. (1986). “A Posteriori Impact Analysis of a Subway Extension in Montreal.” Publication CRT-503, Centre de recherche sur les transports. Montreal, Canada.

  • Dufourd, H., M. Gendreau, and G. Laporte. (1996). “Locating a Transit Line Using Tabu Search.” Location Science 4, 1–19.

    Article  Google Scholar 

  • Garey, M.R. and D.S. Johnson. (1979). Computers and Intractability: A Guide to the Theory of NP-Completeness. Freeman, New York.

    Google Scholar 

  • Gendreau, M., G. Laporte, and J.A. Mesa. (1995). “Locating Rapid Transit Lines.” Journal of Advanced Transportation 29, 145–162.

    Article  Google Scholar 

  • Junta de Andalucía, Consejería de Obras Públicas y Transportes (1993). “Análisis de los corredores del área metropolitana de Sevilla y de los sistemas de transporte posibles.” Private Report developed by SOFRETU Consulting and financed by Consejería de Obras Públicas y Transportes.

  • Laporte, G. (1995). “Comments on ‘Multiobjective Routing Problems’ by T.B. Boffey.” Top 3, 206–213.

    Google Scholar 

  • Laporte, G., J.A. Mesa, and F.A. Ortega. (2000). “Optimization Methods for the Planning of Rapid Transit Systems.” European Journal of Operational Research 122, 1–10.

    Article  Google Scholar 

  • Laporte, G., J.A. Mesa, and F.A. Ortega. (2002). “Locating Stations on Rapid Transit Lines.” Computers & Operations Research 29, 741–759.

    Article  Google Scholar 

  • Larson, R.C. and A.R. Odoni. (1981). Urban Operations Research. Prentice-Hall, Englewood Cliffs, New Jersey.

    Google Scholar 

  • Love, R.F., J.G. Morris, and G.O. Wesolowsky. (1988). Facilities Location: Models and Methods. North-Holland, New York.

  • Lutin, J.M. and G.P. Benz. (1992). “Key Issues in Light Rail Transit Station Planning and Design.” Transportation Research Records 1361, 117–124.

    Google Scholar 

  • Magnanti, T.L. and R.T. Wong. (1984). “Network Design and Transportation Planning: Models and Algorithms.” Transportation Science 18, 1–55.

    Article  Google Scholar 

  • Mesa, J.A. and F.A. Ortega. (2001). “Park-and-Ride Station Catchment Areas in Metropolitan Rapid Transit Systems.” Mathematical Methods on Optimization in Transportation Systems. In M. Pursula and J. Niittymäki (eds.), Kluwer, Dordrecht, pp. 81–93.

    Google Scholar 

  • Ortúzar, J.D. and L.F. Willumsen. (1990). Modelling Transport. Wiley, New York.

    Google Scholar 

  • Sevillano, I. (2003). “Aplicación del concepto de cobertura de viaje al diseño y modelización de la segunda línea de metro de Sevilla” (in Spanish). Master's Dissertation, Engineers Higher Technical School, University of Seville, Spain.

  • Viegas, J.M. and A. Mexia. (1993). “Lisbon Metro Expands its Network.” Public Transport International 4, 31–38.

    Google Scholar 

  • Ward, J.E. and R.E. Wendell. (1980). “A New Form for Measuring Distances which Yields Linear Location Problems.” Operations Research 28, 836–844.

    Google Scholar 

  • Wirasinghe, S.C. and U. Vandebona. (1987). “Some Aspects of the Location of Subway Stations and Routes.” Presented at the Fourth International Symposium on Locational Decisions (ISOLDE). Namur, Belgium.

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Gilbert Laporte.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Laporte, G., Mesa, J.A., Ortega, F.A. et al. Maximizing Trip Coverage in the Location of a Single Rapid Transit Alignment. Ann Oper Res 136, 49–63 (2005). https://doi.org/10.1007/s10479-005-2038-0

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10479-005-2038-0

Keywords

Navigation