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)


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.


Transit systems Park-and-ride facilities Coverage 


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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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