A Two-Dimensional CA Traffic Model with Dynamic Route Choices Between Residence and Workplace

TL;DR

This paper extends the BML traffic model to include dynamic route choices between residence and workplace, analyzing traffic flow, congestion, and phase transitions in urban settings with varying layouts.

Contribution

Introduces a two-dimensional cellular automaton model incorporating dynamic route choices and analyzes phase transitions and critical properties in urban traffic.

Findings

Identifies a continuous transition from moving to jammed phases.

Finds that urban layout significantly affects traffic dynamics.

Performs finite-size scaling to estimate critical density.

Abstract

The Biham, Middleton and Levine (BML) model is extended to describe dynamic route choices between the residence and workplace in cities. The traffic dynamic in the city with a single workplace is studied from the velocity diagram, arrival time probability distribution, destination arrival rate and convergence time. The city with double workplaces is also investigated to compared with a single workplace within the framework of four modes of urban growth. The transitional region is found in the velocity diagrams where the system undergoes a continuous transition from a moving phase to a completely jamming phase. We perform a finite-size scaling analysis of the critical density from a statistical point of view and the order parameter of this jamming transition is estimated. It is also found that statistical properties of urban traffic are greatly influenced by the urban area, workplace area and urban layout.