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Park-and-Ride Station Catchment Areas in Metropolitan Rapid Transit Systems

  • Juan A. Mesa
  • Francisco A. Ortega
Part of the Applied Optimization book series (APOP, volume 48)

Abstract

Park-and-Ride facilities are common in commuter transit systems as well as in metro network stations situated in residential areas. Catchment areas are useful for different purposes; in particular, to evaluate the coverage of transit lines, assuming that the population covered by the line bears relation to the expected number of trips.

In this paper, catchment areas for riderships using park-and-ride facilities are obtained by comparing the total travelling time using just private mode with that using a combination of both modes. This methodology leads us to establish a region whose boundary is typically a branch of hyperbola with foci located in the nearest station S from user and the destination D.

Moreover, when the trips in central and suburban districts are assumed with different average speeds, the curve limiting catchment areas is obtained and belongs to the same kind of conic curves.

Finally, the boundary between (level-)catchment areas of adjacent stations for riderships using park-and-ride facilities is also characterised as a branch of hyperbola, and an optimisation problem is proposed in relation with the line coverage.

Keywords

Transit systems Park-and-ride facilities Coverage 

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References

  1. [1]
    Current, J., ReVelle, C. and Cohon, J. (1985). “The maximum covering/shortest path problem: a multiobjective network design and routing formulation”. European Journal of Operational Research 21, pp 189 - 199.MathSciNetCrossRefzbMATHGoogle Scholar
  2. [2]
    Dufourd, H., Gendreau, M. and Laporte, G. (1996). “Locating a transit line using tabu search”. Location Science 4, pp 1 - 19.CrossRefzbMATHGoogle Scholar
  3. [3]
    García, A. and Cristóbal, C. (1996). “Cobertura de las redes ferroviarias de transporte público (metro y cercanías) de la Comunidad Autónoma de Madrid, utilizando un sistema de información geografico”. II Simposium de Ingeniería de Transportes ( Madrid, Spain ), pp. 455 - 462 (in Spanish).Google Scholar
  4. [4]
    Plan Director de Infraestructuras para el Area Metropolitana de Sevilla (1998). Plan Director de Infraestructuras de Andalucia 19972007. Consejería de Obras Públicas y Transportes de la Junta de Andalucia ( Sevilla, Spain ), pp. 216 - 219 (in Spanish).Google Scholar
  5. [5]
    Bolger, D., Colquhoun, D. and Morrall, J. (1992). “Planning and design of Park-and-Ride facilities for the Calgary Light Rail Transit System”. Transportation Research Record 1361, pp 141 - 148.Google Scholar
  6. [6]
    Lutin, J.M. and Benz, G.P. (1992). “Key issues in light rail transit station planning and design”. Transportation Research Record 1361, pp. 117 - 124.Google Scholar
  7. [7]
    Love, R.F., and Morris, J.G. (1988). “On Estimating Road Distances by Mathematical Functions”. European Journal of Operational Research 36, 251 - 253.CrossRefGoogle Scholar
  8. [8]
    Brimberg, J., Love, R.F. and Walker, J.H. (1995). “The Effect of Axis Rotation on Distance Estimation”. European Journal of Operational Research 80, pp 357 - 364.CrossRefGoogle Scholar
  9. [9]
    Laporte, G., Mesa, J.A. and Ortega, F.A. (1998). “Location Stations on Rapid Transit Lines”. Accepted in Computers and Operation Research.Google Scholar
  10. [10]
    Ortúzar, J.D. and Willumsen, L.F. (1990). Modelling Transport. J. Wiley, New York.Google Scholar

Copyright information

© Springer Science+Business Media Dordrecht 2001

Authors and Affiliations

  • Juan A. Mesa
    • 1
  • Francisco A. Ortega
    • 2
  1. 1.Departamento de Matemática Aplicada IIUniversidad de SevillaSevillaSpain
  2. 2.Departamento de Matemática Aplicada IUniversidad de SevillaSevillaSpain

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