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Continuum modeling of park-and-ride services with linear complementarity system approach

Conference Paper


Abstract


  • This paper studies the modeling of multimodal choice in a railway/highway system with

    continuum park-and-ride services along a linear traffic corridor. Heterogeneous commuters

    choose travel mode among auto, railway and park-and-ride. Both the traffic congestion on

    highway and crowding effects on rail transit are considered. The highway capacity is

    assumed to be stochastic to take into account the travel time reliability on highway.

    Commuters are assumed to be distributed continuously along the corridor. A linear

    complementarity system is proposed to model the modal choice for heterogeneous

    commuters along the corridor and solve the spatial equilibrium pattern. The formulated linear

    complementarity system is transformed into a mixed integer linear program to be solved. The

    modeling approach and solution algorithm are implemented in a small numerical example.

    The resultant solutions show that direct rail mode is chosen by commuters living close to the

    CBD and park-and-ride is chosen by those far away from the city center, while in the middle

    auto mode is preferred. Furthermore, when the stochastic link capacity is considered, more

    commuters choose to use park-and-ride mode for higher reliability.

Authors


  •   Wang, David (external author)
  •   Du, Bo

Publication Date


  • 2013

Citation


  • Wang, D. Z. W. & Du, B. (2013). Continuum modeling of park-and-ride services with linear complementarity system approach. WCTR 2013 Rio Selected Proceedings: 13th World Conference on Transport Research (pp. 1-18).

Start Page


  • 1

End Page


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Abstract


  • This paper studies the modeling of multimodal choice in a railway/highway system with

    continuum park-and-ride services along a linear traffic corridor. Heterogeneous commuters

    choose travel mode among auto, railway and park-and-ride. Both the traffic congestion on

    highway and crowding effects on rail transit are considered. The highway capacity is

    assumed to be stochastic to take into account the travel time reliability on highway.

    Commuters are assumed to be distributed continuously along the corridor. A linear

    complementarity system is proposed to model the modal choice for heterogeneous

    commuters along the corridor and solve the spatial equilibrium pattern. The formulated linear

    complementarity system is transformed into a mixed integer linear program to be solved. The

    modeling approach and solution algorithm are implemented in a small numerical example.

    The resultant solutions show that direct rail mode is chosen by commuters living close to the

    CBD and park-and-ride is chosen by those far away from the city center, while in the middle

    auto mode is preferred. Furthermore, when the stochastic link capacity is considered, more

    commuters choose to use park-and-ride mode for higher reliability.

Authors


  •   Wang, David (external author)
  •   Du, Bo

Publication Date


  • 2013

Citation


  • Wang, D. Z. W. & Du, B. (2013). Continuum modeling of park-and-ride services with linear complementarity system approach. WCTR 2013 Rio Selected Proceedings: 13th World Conference on Transport Research (pp. 1-18).

Start Page


  • 1

End Page


  • 18