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Modelling equilibrium for a multi-criteria selfish routing network equilibrium flow problem

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  • O’Neill, Sam
  • Bagdasar, Ovidiu
  • Berry, Stuart
  • Popovici, Nicolae
  • Raja, Ramachandran

Abstract

The selfish routing of network flow often considers a single objective, namely travel time or travel distance, and optimisation models are often guided by the principle of user equilibrium (UE). A more challenging approach is to consider multiple objectives simultaneously, as for example distance, travel time and pollution.

Suggested Citation

  • O’Neill, Sam & Bagdasar, Ovidiu & Berry, Stuart & Popovici, Nicolae & Raja, Ramachandran, 2022. "Modelling equilibrium for a multi-criteria selfish routing network equilibrium flow problem," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 201(C), pages 658-669.
  • Handle: RePEc:eee:matcom:v:201:y:2022:i:c:p:658-669
    DOI: 10.1016/j.matcom.2021.06.001
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    References listed on IDEAS

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    1. Nagurney, Anna & Dong, June, 2002. "A multiclass, multicriteria traffic network equilibrium model with elastic demand," Transportation Research Part B: Methodological, Elsevier, vol. 36(5), pages 445-469, June.
    2. Bagdasar, Ovidiu & Berry, Stuart & O’Neill, Sam & Popovici, Nicolae & Raja, Ramachandran, 2019. "Traffic assignment: Methods and simulations for an alternative formulation of the fixed demand problem," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 155(C), pages 360-373.
    3. P. L. Yu, 1973. "A Class of Solutions for Group Decision Problems," Management Science, INFORMS, vol. 19(8), pages 936-946, April.
    4. Andrea Raith & Judith Wang & Matthias Ehrgott & Stuart Mitchell, 2014. "Solving multi-objective traffic assignment," Annals of Operations Research, Springer, vol. 222(1), pages 483-516, November.
    5. W. Y. Szeto & Xiaoqing Jaber & S. C. Wong, 2012. "Road Network Equilibrium Approaches to Environmental Sustainability," Transport Reviews, Taylor & Francis Journals, vol. 32(4), pages 491-518, April.
    6. Ma, Rui & Ban, Xuegang (Jeff) & Szeto, W.Y., 2017. "Emission modeling and pricing on single-destination dynamic traffic networks," Transportation Research Part B: Methodological, Elsevier, vol. 100(C), pages 255-283.
    7. Nie, Yu & Zhang, H. M. & Lee, Der-Horng, 2004. "Models and algorithms for the traffic assignment problem with link capacity constraints," Transportation Research Part B: Methodological, Elsevier, vol. 38(4), pages 285-312, May.
    8. Dial, Robert B., 1979. "A model and algorithm for multicriteria route-mode choice," Transportation Research Part B: Methodological, Elsevier, vol. 13(4), pages 311-316, December.
    9. Matthias Ehrgott, 2005. "Multicriteria Optimization," Springer Books, Springer, edition 0, number 978-3-540-27659-3, November.
    10. Han, Deren & Yang, Hai, 2008. "The multi-class, multi-criterion traffic equilibrium and the efficiency of congestion pricing," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 44(5), pages 753-773, September.
    11. Robert B. Dial, 1996. "Bicriterion Traffic Assignment: Basic Theory and Elementary Algorithms," Transportation Science, INFORMS, vol. 30(2), pages 93-111, May.
    12. Leurent, Fabien, 1993. "Cost versus time equilibrium over a network," European Journal of Operational Research, Elsevier, vol. 71(2), pages 205-221, December.
    13. Yang, Hai & Huang, Hai-Jun, 2004. "The multi-class, multi-criteria traffic network equilibrium and systems optimum problem," Transportation Research Part B: Methodological, Elsevier, vol. 38(1), pages 1-15, January.
    14. Dial, Robert B., 1997. "Bicriterion traffic assignment: Efficient algorithms plus examples," Transportation Research Part B: Methodological, Elsevier, vol. 31(5), pages 357-379, October.
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