Open Access Open Access  Restricted Access Subscription Access
Open Access Open Access Open Access  Restricted Access Restricted Access Subscription Access

Cellular Automata Model for Single Lane Traffic


Affiliations
1 Department of Mathematics, Velammal Engineering College, Chennai-66, India
2 Department of Mathematics, B.S. Abdur Rahman University, Chennai-48, India
     

   Subscribe/Renew Journal


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.

Keywords

Traffic Flow Modeling, Cellular Automata, NaSch Model, Rule 184, Lagrange‟s Form, Stochastic CA, Heterogeneous Traffic, Slow to Start Rule and Anticipation Rule.
User
Subscription Login to verify subscription
Notifications
Font Size

Abstract Views: 221

PDF Views: 2




  • Cellular Automata Model for Single Lane Traffic

Abstract Views: 221  |  PDF Views: 2

Authors

S. Rajeswaran
Department of Mathematics, Velammal Engineering College, Chennai-66, India
S. Rajasekaran
Department of Mathematics, B.S. Abdur Rahman University, Chennai-48, India

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.

Keywords


Traffic Flow Modeling, Cellular Automata, NaSch Model, Rule 184, Lagrange‟s Form, Stochastic CA, Heterogeneous Traffic, Slow to Start Rule and Anticipation Rule.



DOI: https://doi.org/10.36039/ciitaas%2F3%2F3%2F2011%2F106991.162-167