Traffic Flow on a Road Network

Details Traffic Flow on a Road Network Traffic Flow on a Road Network

2002-02-15

arxiv.org/abs/math/0202146v1

Mathematics

Analysis of PDEs

26 pages, 5 figures

Scientific paper

This paper is concerned with a fluidodynamic model for traffic flow. More precisely, we consider a single conservation law, deduced from conservation of the number of cars, defined on a road network that is a collection of roads with junctions. The evolution problem is underdetermined at junctions, hence we choose to have some fixed rules for the distribution of traffic plus an optimization criteria for the flux. We prove existence, uniqueness and stability of solutions to the Cauchy problem. Our method is based on wave front tracking approach, (B), and works also for boundary data and time dependent coefficients of traffic distribution at junctions, so including traffic lights.

Affiliated with

Also associated with

No associations

Rating

Traffic Flow on a Road Network does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Traffic Flow on a Road Network, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Traffic Flow on a Road Network will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-709708