Modelling highway-traffic headway distributions using superstatistics

Abstract

We study traffic clearance distributions (i.e., the instantaneous gap between successive vehicles) and time headway distributions by applying Beck and Cohen's superstatistics. We model the transition from free phase to congested phase with the increase of vehicle density as a transition from the Poisson statistics to that of the random matrix theory. We derive an analytic expression for the spacing distributions that interpolates from the Poisson distribution and Wigner's surmise and apply it to the distributions of the nett distance and time gaps among the succeeding cars at different densities of traffic flow. The obtained distribution fits the experimental results for single-vehicle data of the Dutch freeway A9 and the German freeway A5.

10 pages, 2 figures

References in corpus (16)

• Traffic and Related Self-Driven Many-Particle Systems
• Statistical Physics of Vehicular Traffic and Some Related Systems
• Superstatistics
• Phase Diagram of Traffic States in the Presence of Inhomogeneities
• Single-vehicle data of highway traffic - a statistical analysis
• Microscopic features of moving traffic jams
• The statistical properties of the city transport in Cuernavaca (Mexico) and Random matrix ensembles
• Superstatistics in random matrix theory
• Equilibrium distributions in thermodynamical traffic gas
• Modelling gap-size distribution of parked cars using random-matrix theory
• Microscopic versus mesoscopic local density of states in one-dimensional localization
• Non-concave fundamental diagrams and phase transitions in a stochastic traffic cellular automaton
• Phase Transitions in Traffic Models
• Non-Gaussian PDFs from Maximum-Entropy-principle considerations
• Random matrix theory within superstatistics
• Distribution of local density of states in superstatistical random matrix theory

Cited by in corpus (10)

• A New Car-Following Model Inspired by Galton Board
• A Markov Process Inspired Cellular Automata Model of Road Traffic
• Theoretical predictions for vehicular headways and their clusters
• Moment analysis of highway-traffic clearance distribution
• Random matrices and the New York City subway system
• Inter-particle gap distribution and spectral rigidity of totally asymmetric simple exclusion process with open boundaries
• Buses of Cuernavaca - an agent-based model for universal random matrix behavior minimizing mutual information
• First passage time for superstatistical Fokker-Planck models
• Fading Improves Connectivity in Vehicular Ad-hoc Networks
• Random matrix statistics and safety rest areas on interstates in the United States