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The existence of an equilibrium solution to the traffic assignment problem when there are junction interactions

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  • Smith, M. J.

Abstract

We consider a network with interactions and capacity constraints at each junction. We give conditions on the interactions and constraints which, if satisfied at each separate junction, ensure that any feasible assignment problem has an equilibrium solution. Two illustrative examples are provided; the first arises naturally and does not satisfy our conditions, while the second does satisfy our conditions but is somewhat unnatural.

Suggested Citation

  • Smith, M. J., 1981. "The existence of an equilibrium solution to the traffic assignment problem when there are junction interactions," Transportation Research Part B: Methodological, Elsevier, vol. 15(6), pages 443-451, December.
    • Handle: RePEc:eee:transb:v:15:y:1981:i:6:p:443-451
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    Cited by:

    1. Yu, Hao & Ma, Rui & Zhang, H. Michael, 2018. "Optimal traffic signal control under dynamic user equilibrium and link constraints in a general network," Transportation Research Part B: Methodological, Elsevier, vol. 110(C), pages 302-325.
    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. David Levinson & Ajay Kumar, 1994. "Integrating Feedback into the Transportation Planning Mode," Working Papers 199404, University of Minnesota: Nexus Research Group.

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