The Biham-Middleton-Levine traffic model for a single junction

Details The Biham-Middleton-Levine traffic model for a single junction The Biham-Middleton-Levine traffic model for a single junction

2007-03-07

arxiv.org/abs/math/0703201v2

Mathematics

Probability

21 pages, 9 figures

Scientific paper

In the Biham-Middleton-Levine traffic model cars are placed with some density p on a two dimensional torus, and move according to a (simple) set of predefined rules. Computer simulations show this system exhibits many interesting phenomena: for low densities the system self organizes such that cars flow freely while for densities higher than some critical density the system gets stuck in an endless traffic jam. However, apart from the simulation results very few properties of the system were proven rigorously to date. We introduce a simplified version of this model in which cars are placed in a single row and column (a junction) and show that similar phenomena of self-organization of the system and phase transition still occur.

Affiliated with

Also associated with

No associations

Rating

The Biham-Middleton-Levine traffic model for a single junction 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 The Biham-Middleton-Levine traffic model for a single junction, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Biham-Middleton-Levine traffic model for a single junction will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-255065