Biham-Middleton-Levine Traffic Model With Origin-Destination Trips

Abstract

We extended the Biham-Middleton-Levine model to incorporate the origin and destination effect of drivers trips on the traffic in cities. The destination sites are randomly chosen from some origin-destination distances probability distribution "ODDPD". We use three different distributions: exponential, uniform and power-law. We consider two variants of the model. In conserved particles model (Model A), drivers continue their travelling even if they reached their destinations. In non-conserved particles model (Model B), a driver which reaches its destination disappears with rate $\beta$. It is found that the traffic dynamics in model A and the evacuation processes in model B are greatly influenced by the ODDPD. On one hand, we found that we can adjust the ODDPD to enhance the road capacity of the city and to minimize the arrival times of drivers in particles conserved system and to optimize the evacuation time of drivers in non-conserved case. On the other hand, we find that, independently on the ODDPD, the evacuation time $T$ of drivers diverges in the form of a power law $T\propto {\beta }^{-\nu }$, with $\nu =1$.

13 pages, 14 figures

References in corpus (11)

• Traffic and Related Self-Driven Many-Particle Systems
• Statistical Physics of Vehicular Traffic and Some Related Systems
• Self Organization and a Dynamical Transition in Traffic Flow Models
• Optimizing Traffic Lights in a Cellular Automaton Model for City Traffic
• Self-organization of traffic jams in cities: effects of stochastic dynamics and signal periods
• Phase Transitions in Two-Dimensional Traffic Flow Models
• Exact Steady States of Disordered Hopping Particle Models with Parallel and Ordered Sequential Dynamics
• Jam phases in two-dimensional cellular automata model of traffic flow
• Experiences with a simplified microsimulation for the Dallas/Fort Worth area
• Anisotropic effect on two-dimensional cellular automaton traffic flow with periodic and open boundaries
• Intelligent Controlling Simulation of Traffic Flow in a Small City Network

Cited by in corpus (3)

• Vehicular traffic flow at an intersection with the possibility of turning
• A Two-Dimensional CA Traffic Model with Dynamic Route Choices Between Residence and Workplace
• Jamming Transition of Point-to-Point Traffic Through Cooperative Mechanisms