Phase diagram for one-way traffic flow with local control

TL;DR

This paper analyzes a deterministic one-way traffic flow model with local control, exploring the stability and instability regions of its phase diagram as the number of particles varies.

Contribution

It introduces a simple local control protocol for one-way traffic and studies its stability properties uniformly across different system sizes.

Findings

Identification of stable and unstable domains in the phase diagram

Analysis of the effect of local control parameters on traffic flow stability

Uniform stability analysis across varying numbers of particles

Abstract

We consider one-way road deterministic traffic model with $N$ particles. The simplest local control protocol, which reminds physical interaction)\d{ }with three parameters is considered. We study the stable and unstable domains of the phase diagram \.{u}niformly in $N$.