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

  • Regular Article - Statistical and Nonlinear Physics
  • Published:
The European Physical Journal B Aims and scope Submit manuscript

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.

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Data Availability Statement

This manuscript has no associated data or the data will not be deposited. [Authors’ comment: This is a theoretical study and no experimental data is listed.]

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Acknowledgements

This work is supported by SERB-POWER SPG/2021/000591 funded by Science and Engineering Research Board (SERB).

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Authors and Affiliations

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

    Daljeet Kaur & Sapna Sharma

Authors
  1. Daljeet Kaur
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  2. Sapna Sharma
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Contributions

SS gave the idea of the proposal and supervised the work. The implementation of the idea, analysis, and the simulation had performed by DK. SS and DK wrote manuscript and revised it.

Corresponding author

Correspondence to Sapna Sharma.

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Kaur, D., Sharma, S. Prior information affecting traffic dynamics in a two dimensional (2D) network. Eur. Phys. J. B 94, 183 (2021). https://doi.org/10.1140/epjb/s10051-021-00187-8

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  • DOI: https://doi.org/10.1140/epjb/s10051-021-00187-8

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