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A Variational Inequality Formulation of the Dynamic Network User Equilibrium Problem

Author

Listed:
  • Terry L. Friesz

    (George Mason University, Fairfax, Virginia)

  • David Bernstein

    (Massachusetts Institute of Technology, Cambridge, Massachusetts)

  • Tony E. Smith

    (University of Pennsylvania, Philadelphia, Pennsylvania)

  • Roger L. Tobin

    (GTE Laboratories Incorporated, Waltham, Massachusetts)

  • B. W. Wie

    (University of Hawaii, Honolulu, Hawaii)

Abstract

In the present paper we are concerned with developing more realistic dynamic models of route choice and departure time decisions of transportation network users than have been proposed in the literature heretofore. We briefly review one class of models that is a dynamic generalization of the static Wardropian user equilibrium, the so-called Boston traffic equilibrium. In contrast, we then propose a new class of models that is also a dynamic generalization of the static Wardropian user equilibrium. In particular, we show for the first time that there is a variational inequality formulation of dynamic user equilibrium with simultaneous route choice and departure time decisions which, when appropriate regularity conditions hold, preserves the first in, first out queue discipline.

Suggested Citation

  • Terry L. Friesz & David Bernstein & Tony E. Smith & Roger L. Tobin & B. W. Wie, 1993. "A Variational Inequality Formulation of the Dynamic Network User Equilibrium Problem," Operations Research, INFORMS, vol. 41(1), pages 179-191, February.
    • Handle: RePEc:inm:oropre:v:41:y:1993:i:1:p:179-191
    DOI: 10.1287/opre.41.1.179
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