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Two alternative definitions of traffic equilibrium

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  • Smith, M. J.

Abstract

The paper shows that, under reasonable conditions, if there are junction or modal interactions then a Wardrop equilibrium exists but a user--optimised flow may well not.

Suggested Citation

  • Smith, M. J., 1984. "Two alternative definitions of traffic equilibrium," Transportation Research Part B: Methodological, Elsevier, vol. 18(1), pages 63-65, February.
    • Handle: RePEc:eee:transb:v:18:y:1984:i:1:p:63-65
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    Cited by:

    1. Iryo, Takamasa & Watling, David, 2019. "Properties of equilibria in transport problems with complex interactions between users," Transportation Research Part B: Methodological, Elsevier, vol. 126(C), pages 87-114.
    2. Watling, David, 1996. "Asymmetric problems and stochastic process models of traffic assignment," Transportation Research Part B: Methodological, Elsevier, vol. 30(5), pages 339-357, October.
    3. Y. Ge & B. Sun & H. Zhang & W. Szeto & Xizhao Zhou, 2015. "A Comparison of Dynamic User Optimal States with Zero, Fixed and Variable Tolerances," Networks and Spatial Economics, Springer, vol. 15(3), pages 583-598, September.
    4. Iryo, Takamasa & Smith, Michael J. & Watling, David, 2020. "Stabilisation strategy for unstable transport systems under general evolutionary dynamics," Transportation Research Part B: Methodological, Elsevier, vol. 132(C), pages 136-151.
    5. repec:wsi:jeapmx:v:20:y:2018:i:04:n:s0219198918500068 is not listed on IDEAS
    6. Sullivan, Edward C. & Wong, Sun, 1989. "Development Of A Dynamic Equilibrium Assignment Procedure For Network-level Analysis Of New Technology," Institute of Transportation Studies, Research Reports, Working Papers, Proceedings qt9ns859v6, Institute of Transportation Studies, UC Berkeley.
    7. Zhang, Ding & Nagurney, Anna & Wu, Jiahao, 2001. "On the equivalence between stationary link flow patterns and traffic network equilibria," Transportation Research Part B: Methodological, Elsevier, vol. 35(8), pages 731-748, September.
    8. Watling, David, 1998. "Perturbation stability of the asymmetric stochastic equilibrium assignment model," Transportation Research Part B: Methodological, Elsevier, vol. 32(3), pages 155-171, April.
    9. Robin Lindsey, 2004. "Existence, Uniqueness, and Trip Cost Function Properties of User Equilibrium in the Bottleneck Model with Multiple User Classes," Transportation Science, INFORMS, vol. 38(3), pages 293-314, August.
    10. Wen-Long Jin, 2015. "Advances in Dynamic Traffic Assgmnt: TAC," Networks and Spatial Economics, Springer, vol. 15(3), pages 617-634, September.

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