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Introduction to Projected Dynamical Systems for Traffic Network Equilibrium Problems

In: Network Infrastructure and the Urban Environment

Author

Listed:
  • Anna Nagurney

    (University of Massachusetts)

  • Ding Zhang

    (State University of New York at Oswego)

Abstract

It is now well-known that a plethora of equilibrium problems, notably, network equilibrium problems, can be uniformly formulated and studied as finite-dimensional variational inequality problems. Indeed, it was precisely the traffic network equilibrium problem, as stated by Smith (1979), and identified by Dafermos (1980) to be a variational inequality problem, that gave birth to the ensuing research activity in variational inequality theory and applications in transportation science, regional science, operations research, and, more recently, in economics.

Suggested Citation

  • Anna Nagurney & Ding Zhang, 1998. "Introduction to Projected Dynamical Systems for Traffic Network Equilibrium Problems," Advances in Spatial Science, in: Lars Lundqvist & Lars-Göran Mattsson & Tschangho John Kim (ed.), Network Infrastructure and the Urban Environment, chapter 8, pages 125-156, Springer.
    • Handle: RePEc:spr:adspcp:978-3-642-72242-4_8
    DOI: 10.1007/978-3-642-72242-4_8
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    Cited by:

    1. Huang, Hai-Jun & Lam, William H. K., 2002. "Modeling and solving the dynamic user equilibrium route and departure time choice problem in network with queues," Transportation Research Part B: Methodological, Elsevier, vol. 36(3), pages 253-273, March.

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