Abstract
In this paper we consider the infinite dimensional variational inequality (VI) formulation of dynamic user equilibrium (DUE) put forward by Friesz et al. (1993) [A variational inequality formulation of the dynamic network user equilibrium problem. Operations Research 41, 179-191] as well as the differential variational inequality (DVI) version reported in Friesz et al. (2001) [Dynamic network user equilibrium with state-dependent time lags. Networks and Spatial Economics 1, 319-347]. We show how the theory of optimal control and the theory of infinite dimensional variational inequalities may be combined to create a simple and effective fixed point algorithm for calculating DUE network flows that are solutions of both formulations. A numerical example is provided.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 207-229 |
| Number of pages | 23 |
| Journal | Transportation Research Part B: Methodological |
| Volume | 40 |
| Issue number | 3 |
| DOIs | |
| State | Published - Mar 2006 |
All Science Journal Classification (ASJC) codes
- Civil and Structural Engineering
- Transportation
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