@inproceedings{d3964c0a12d34a8f9f3f9b0ad3afed97,
title = "Fixed point methods for computing within-day dynamic user equilibrium",
abstract = "We show that analysis of the within-day dynamic user equilibrium (DUE) problem is tremendously simplified by expressing dynamic user equilibrium as a differential variational inequality when dynamic network loading (DNL) is considered to be an embedded subproblem. The DNL problem is approximated as a system of ordinary differential equations (ODEs) which may be efficiently solved using traditional numerical methods. Computing an actual dynamic user equilibrium is shown to require solution of a continuous-time fixed-point problem. A numerical example based on the much studied Sioux Falls network is presented.",
author = "Friesz, {Terry L.} and Neto, {Pedro A.} and Meimand, {Amir H.}",
year = "2011",
month = dec,
day = "22",
doi = "10.1109/ITSC.2011.6082914",
language = "English (US)",
isbn = "9781457721984",
series = "IEEE Conference on Intelligent Transportation Systems, Proceedings, ITSC",
pages = "2093--2097",
booktitle = "2011 14th International IEEE Conference on Intelligent Transportation Systems, ITSC 2011",
note = "14th IEEE International Intelligent Transportation Systems Conference, ITSC 2011 ; Conference date: 05-10-2011 Through 07-10-2011",
}