Application of a Boltzmann-entropy-like concept in an agent-based multilane traffic model

Authored by Ryan Sugihakim, Husin Alatas

Date Published: 2016

DOI: 10.1016/j.physleta.2015.09.048

Sponsors: Directorate of Higher Education Ministry of National Education and Culture Republic of Indonesia

Platforms: No platforms listed

Model Documentation: Other Narrative Mathematical description

Model Code URLs: Model code not found

Abstract

We discuss the dynamics of an agent-based multilane traffic model using three defined rules. The dynamical characteristics of the model are described by a Boltzmann traffic entropy quantity adopting the concept of Boltzmann entropy in statistical physics. The results are analyzed using fundamental diagrams based on lane density, entropy and its derivative with respect to density. We show that there are three classifications of allowed initial to equilibrium state transition process out of four possibilities and demonstrate that density and entropy fluctuations occur during the transition from the initial to equilibrium states, exhibiting the well-known expected self-organization process. The related concept of entropy can therefore be considered as a new alternative quantity to describe the complexity of traffic dynamics. (C) 2015 Elsevier B.V. All rights reserved.

Tags

Highway Waves Car-following model Inter-vehicle communication Flow models