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Commuters' Paths With Penalties for Early or Late Arrival Time

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  • Andre de Palma
  • Pierre Hansen
  • Martine Labbe

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.
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(This abstract was borrowed from another version of this item.)

Suggested Citation

  • Andre de Palma & Pierre Hansen & Martine Labbe, 1987. "Commuters' Paths With Penalties for Early or Late Arrival Time," Discussion Papers 727, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    • Handle: RePEc:nwu:cmsems:727
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    Cited by:

    1. 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.
    2. 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.
    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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