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Equilibrium in Time Dependent Traffic Networks with Delay

  • Fabio Raciti
Chapter
Part of the Nonconvex Optimization and Its Applications book series (NOIA, volume 58)

Abstract

We propose a new model of time dependent traffic networks which include delay effects. Starting from the new definition of “ retarded equilibrium ” we cast the problem in the framework of variational inequalities and give sufficient conditions for the existence of retarded equilibria.

Keywords

Traffic Networks Variational Inequalities Delay 

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References

  1. [1]
    J.D. Murray, Mathematical Biology, Springer Verlag, 1993.Google Scholar
  2. [2]
    P. Daniele, A. Maugeri and W. Oettli, Time-Dependent Traffic Equilibria, Jota 103,No. 3 December 1999. (See also References therein).Google Scholar
  3. [3]
    J. Hale, Functional Differential Equations, Springer Verlag New York 1971.Google Scholar
  4. [4]
    M.J. Smith,A new Dynamic Traffic Model And the Existence and calculation of Dynamic User Equilibria on Congested Capacity-Constrained Road Networks, Transportation Research 27B (1993), 49–63.Google Scholar

Copyright information

© Kluwer Academic Publishers 2001

Authors and Affiliations

  • Fabio Raciti
    • 1
    • 2
  1. 1.Dipartimento di MatematicaUniversità di CataniaItaly
  2. 2.Consorzio Ennese UniversitarioItaly

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