Distributions of Time Headways in Particle-hopping Models of Vehicular Traffic

TL;DR

This paper analytically and numerically investigates the distribution of time headways in particle-hopping traffic models, comparing results with empirical data to enhance understanding of vehicular flow dynamics.

Contribution

It provides the first analytical calculation of time headway distributions in specific particle-hopping traffic models and compares these with simulations and empirical data.

Findings

Analytical expressions for time headway distributions in special cases.

Numerical results for more general traffic scenarios.

Comparison with empirical traffic data.

Abstract

We report the first analytical calculation of the distribution of the time headways in some special cases of a particle-hopping model of vehicular traffic on idealized single-lane highways and compare with the corresponding results of our computer simulation. We also present numerical results for the time-headway distribution in more general situations in this model. We compare our results with the empirical data available in the literature.