Eur. Phys. J. B (2021) 94: 183
https://doi.org/10.1140/epjb/s10051-021-00187-8

Regular Article - Statistical and Nonlinear Physics

Prior information affecting traffic dynamics in a two dimensional (2D) network

School of Mathematics, Thapar Institute of Engineering and Technology, 147004, Patiala, Punjab, India

^b sapna.sharma@thapar.edu

Received: 8 June 2021
Accepted: 15 August 2021
Published online: 20 September 2021

Abstract

Due to the fast developments of information technology and sensor technology, drivers get a precise estimate of real-time traffic conditions in the next moment. According to the situation, drivers can change their driving behavior while using their skills in advance with the help of prior information and they change their path through the turning point on road. To explore this phenomenon, a two-dimensional (2D) lattice model by incorporating the prior information (predictive effect) with the junction on road is proposed. At the junction of the road, traffic can enter into various downstream lanes from the upstream. The intensity of traffic at downstream may vary depending on the proportion of traffic. To analyze the proposed model, the stability condition is obtained without and with the control signal through the control method which shows that the stable region increases when the control signal is considered into account. The theoretical findings indicate that the predictive effect could affect the stability of diverging traffic. Numerical simulation verifies the theoretical findings which shows the results for the traffic flow stability with the consideration of the predictive effect and junction on road in 2D lattice model.