01557543

Component

This article considers the dynamic user equilibrium (DUE) problem for parallel networks. The network dynamics are modeled using a Godunov discretization of the Lighthill-Williams-Richards partial differential equation with a trapezoidal flux function. The model is augmented with an additional constraint that prevents vehicle holding which is a flaw in the discretization. The departure rates are assumed to be fixed. Under these assumptions, the authors show that the future allocation of the demand among the different paths at the origin has no effect on the travel time of the vehicles already in the network. This enables them to show that the DUE for a fixed time steps horizon can be decomposed into a series of static UE problems and solved sequentially. Thus, the DUE problem can be solved as a sequence of convex optimization problems.

This paper was sponsored by TRB committee ADB30 Transportation Network Modeling.

01550057

15-2309

English

0000-0002-6697-222X

15p

2015

Transportation Research Board 94th Annual Meeting

Digital/other

Figures; References; Tables

Dynamic traffic assignment; Macroscopic traffic flow; Networks; Optimization; Traffic equilibrium; Traffic models; Traffic queuing; Travel time

Highways; Operations and Traffic Management; Planning and Forecasting; I71: Traffic Theory

Transportation Research Board Annual Meeting 2015 Paper #15-2309

TRIS, TRB, ATRI

Dec 30 2014 12:49PM