Cellular Automata Model for Single Lane Traffic

Abstract

There exists a need for traffic flow modeling in developing countries on account of the growth in personalized traffic. Traffic problems on highways and in urban areas attract considerable attention. Many scientists have tried to develop various Mathematical models.Cellular Automata (CA) approach has recently gained a lot of interest in traffic flow modeling due to its simplicity and computational efficiency. The model developed in the paper is based on Nagal and Schreckenberg (NaSch) model. We proposed a new stochastic one dimensional CA model for single lane with modified cell size and variable acceleration rate. Slow to start rule and anticipation rule has been introduced by extending NaSch model in Lagrange‟s form. The new extended CA model for traffic flow appear to have metastable branches near the critical density from steady state flow to jamming flow due to the presence of anticipation parameter and slow to start effect. Simulation results with fundamental diagrams for various values of p (braking probability), q (slow to start probability) and r (anticipation probability) show the ability of this modeling paradigm to capture the most important features of the traffic flow phenomena.