Car accidents and number of stopped cars due to road blockage on a one-lane highway

Abstract

Within the framework of a simple model of car traffic on a one-lane highway, we study the probability for car accidents to occur when drivers do not respect the safety distance between cars, and, as a result of the blockage during the time $T$ necessary to clear the road, we determine the number of stopped cars as a function of car density. We give a simple theory in good agreement with our numerical simulations.

7 pages, 3 figures

References in corpus (8)

• Self Organization and a Dynamical Transition in Traffic Flow Models
• Discrete stochastic models for traffic flow
• Two Lane Traffic Simulations using Cellular Automata
• Cellular automata models of traffic flow along a highway containing a junction
• Cellular automaton models and traffic flow
• Deterministic Models for Traffic Jams
• Jam phases in two-dimensional cellular automata model of traffic flow
• Theoretical approach to two-dimensional traffic flow models

Cited by in corpus (3)

• Spatio-temporal organization of vehicles in a cellular automata model of traffic with 'slow-to-start' rule
• Social dilemma in traffic with heterogeneous drivers
• Simulation study of traffic accidents in bidirectional traffic models