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Commuters' Paths with Penalties for Early or Late Arrival Time

Author

Listed:
  • André de Palma

    (Northwestern University, Evanston, Illinois)

  • Pierre Hansen

    (RUTCOR Rutgers University, New Brunswick, New Jersey)

  • Martine Labbé

    (Erasmus University Rotterdam, 3000 DR Rotterdam, the Netherlands)

Abstract

We formulate the choice of a best path for a commuter leaving his/her home at a given time and willing to arrive at his/her destination within a given time interval. The objective function integrates constant costs for use of arcs, travel times and schedule delay. The travel times along arcs, which depend on exogenous congestion, are represented by functions of the arrival time at the origin node of the arc. The schedule delay is taken into consideration by penalizing arrival time at the destination outside the desired time interval. The problem is shown to be NP-hard, polynomial subcases are determined and a pseudo-polynomial algorithm is provided for the general case.

Suggested Citation

  • André de Palma & Pierre Hansen & Martine Labbé, 1990. "Commuters' Paths with Penalties for Early or Late Arrival Time," Transportation Science, INFORMS, vol. 24(4), pages 276-286, November.
    • Handle: RePEc:inm:ortrsc:v:24:y:1990:i:4:p:276-286
    DOI: 10.1287/trsc.24.4.276
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    Cited by:

    1. Mohammad Saifuzzaman & Leonid Engelson & Ida Kristoffersson & André de Palma, 2016. "Stockholm congestion charging: an assessment with METROPOLIS and SILVESTER," Transportation Planning and Technology, Taylor & Francis Journals, vol. 39(7), pages 653-674, October.
    2. Leilei Zhang & Tito Homem-de-Mello, 2017. "An Optimal Path Model for the Risk-Averse Traveler," Transportation Science, INFORMS, vol. 51(2), pages 518-535, May.
    3. Leonid Engelson & Ida Kristoffersson & Mohammad Saifuzzaman & André de Palma & Kiarash Motamedi, 2013. "Comparison of two dynamic transportation models: The case of Stockholm congestion charging," Working Papers hal-00779285, HAL.
    4. Ichoua, Soumia & Gendreau, Michel & Potvin, Jean-Yves, 2003. "Vehicle dispatching with time-dependent travel times," European Journal of Operational Research, Elsevier, vol. 144(2), pages 379-396, January.

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