Title
A variational inequality formulation of the dynamic network user equilibrium problem
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.
Year
DOI
Venue
1993
10.1287/opre.41.1.179
Operations Research
Field
DocType
Volume
Dynamic network analysis,Flow network,Mathematical optimization,Queue,Equilibrium problem,Dynamic equilibrium,Differential variational inequality,Mathematics,Traffic congestion,Operations management,Variational inequality
Journal
41
Issue
ISSN
Citations 
1
0030-364X
99
PageRank 
References 
Authors
16.19
6
5
Name
Order
Citations
PageRank
Terry L. Friesz122742.12
David Bernstein220431.68
Tony E. Smith310217.16
Roger L. Tobin420240.30
Byung-Wook Wie516031.82