Coupled-Map Modeling of One-Dimensional Traffic Flow

TL;DR

This paper introduces a coupled map lattice model for one-dimensional traffic flow, capturing realistic traffic jams and flow-concentration relationships through vehicle interactions modeled by coupled maps.

Contribution

It presents a novel coupled map lattice approach where each vehicle's motion is modeled by a map, coupled via headway, to simulate realistic traffic dynamics.

Findings

Flow vs. concentration plot matches real traffic data

Realistic traffic jam regions observed in simulations

Model reproduces space-time traffic trajectories

Abstract

We propose a new model of one-dimensional traffic flow using a coupled map lattice. In the model, each vehicle is assigned a map and changes its velocity according to it. A single map is designed so as to represent the motion of a vehicle properly, and the maps are coupled to each other through the headway distance. By simulating the model, we obtain a plot of the flow against the concentration similar to the observed data in real traffic flows. Realistic traffic jam regions are observed in space-time trajectories.