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Tolling Analysis with Bi-objective Traffic Assignment

In: Multiple Criteria Decision Making for Sustainable Energy and Transportation Systems

Author

Listed:
  • Judith Y. T. Wang

    (The Energy Centre, The University of Auckland Business School)

  • Andrea Raith
  • Matthias Ehrgott

Abstract

We present a route choice model for a toll highway network based on bi-objective user equilibrium defined as the condition that traffic arranges itself in such a way that no individual trip maker can improve either their toll or travel time without worsening the other component by unilaterally switching routes. We develop heuristic traffic assignment procedures to find bi-objective user equilibrium solutions. Finally, we demonstrate that bi-objective user equilibrium is not equivalent to a bi-objective optimisation problem by studying a three link example network.

Suggested Citation

  • Judith Y. T. Wang & Andrea Raith & Matthias Ehrgott, 2010. "Tolling Analysis with Bi-objective Traffic Assignment," Lecture Notes in Economics and Mathematical Systems, in: Matthias Ehrgott & Boris Naujoks & Theodor J. Stewart & Jyrki Wallenius (ed.), Multiple Criteria Decision Making for Sustainable Energy and Transportation Systems, pages 117-129, Springer.
    • Handle: RePEc:spr:lnechp:978-3-642-04045-0_10
    DOI: 10.1007/978-3-642-04045-0_10
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    Citations

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    Cited by:

    1. Xu, Zhandong & Chen, Anthony & Liu, Xiaobo, 2023. "Time and toll trade-off with heterogeneous users: A continuous time surplus maximization bi-objective user equilibrium model," Transportation Research Part B: Methodological, Elsevier, vol. 173(C), pages 31-58.
    2. Wang, Judith Y.T. & Ehrgott, Matthias, 2013. "Modelling route choice behaviour in a tolled road network with a time surplus maximisation bi-objective user equilibrium model," Transportation Research Part B: Methodological, Elsevier, vol. 57(C), pages 342-360.
    3. Ehrgott, Matthias & Wang, Judith Y.T. & Watling, David P., 2015. "On multi-objective stochastic user equilibrium," Transportation Research Part B: Methodological, Elsevier, vol. 81(P3), pages 704-717.
    4. Wang, Judith Y.T. & Ehrgott, Matthias & Chen, Anthony, 2014. "A bi-objective user equilibrium model of travel time reliability in a road network," Transportation Research Part B: Methodological, Elsevier, vol. 66(C), pages 4-15.
    5. Hongli Xu & Hai Yang & Jing Zhou & Yafeng Yin, 2017. "A Route Choice Model with Context-Dependent Value of Time," Transportation Science, INFORMS, vol. 51(2), pages 536-548, May.

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