A Modified Cellular Automaton in Lagrange Form with Velocity Dependent Acceleration Rate

Abstract

Road traffic micro simulations based on the individual motion of all the involved vehicles are now recognized as an important tool to describe, understand and manage road traffic. With increasing computational power, simulating traffic in microscopic level by means of Cellular Automaton becomes a real possibility. Based on Nasch model of single lane traffic flow, a modified Cellular Automaton traffic flow model is proposed to simulate homogeneous and mixed type traffic flow. The model is developed with modified cell size, incorporating different acceleration characteristics depending upon the speed of each individual vehicle. Comparisons are made between Nasch model and modified model. It is observed that slope of congested branch is changed for modified model as the vehicle that are coming out of jam having dissimilar acceleration capabilities, therefore there is not a sudden drop in throughput near critical density c  .