Hot and repulsive traffic flow

TL;DR

This paper introduces a message passing model for traffic flow on a lattice, incorporating repulsive interactions and variable potentials to analyze traffic states, performance improvements, and system robustness under failures.

Contribution

It presents a novel discrete lattice model with repulsive interactions and variable potentials to study traffic dynamics and system performance improvements.

Findings

Identified regions of fluid and saturated traffic separated by abrupt transitions.

Demonstrated that non-constant potentials can improve system performance.

Analyzed system behavior under temporary transmission failures.

Abstract

We study a message passing model, applicable also to traffic problems. The model is implemented in a discrete lattice, where particles move towards their destination, with fluctuations around the minimal distance path. A repulsive interaction between particles is introduced in order to avoid the appearance of traffic jam. We have studied the parameter space finding regions of fluid traffic, and saturated ones, being separated by abrupt changes. The improvement of the system performance is also explored, by the introduction of a non-constant potential acting on the particles. Finally, we deal with the behavior of the system when temporary failures in the transmission occurs.