https://doi.org/10.1140/epjp/s13360-024-05365-y
Regular Article
A novel car-following model incorporating advance reaction time with passing
1
Department of Mathematics, Maharshi Dayanand University, 124001, Rohtak, Haryana, India
2
Department of Mathematics, Indian Institute of Technology, 342030, Jodhpur, Rajasthan, India
3
Department of Mathematics and Statistics, CCS Haryana Agricultural University, 125001, Hisar, Haryana, India
Received:
10
April
2024
Accepted:
13
June
2024
Published online:
27
June
2024
In recent years, Vehicle-to-Everything (V2X) technology has undergone significant advancements, particularly in the realm of intelligent transportation systems. This technology empowers drivers with real-time updates on nearby vehicle movements, enhancing their situational awareness about traffic flow dynamics and safety on the road. In real-world traffic scenarios, drivers continuously assess the behaviors of vehicles around them to ensure the smooth and safe movement. This process involves observing and reacting to preceding vehicles’ actions, which helps maintain an optimal traffic flow. V2X technology has been used to develop a novel car-following model that incorporates factors like advanced reaction times that are influenced by the driver’s sensitivity, sensitivity to the average speed of nearby vehicles, and passing maneuver effects. This model aims to analyze how these parameters influence traffic flow dynamics. To ensure the stability of this new model, both linear and nonlinear stability analyses have been conducted using perturbation methods. According to the research findings, incorporating drivers’ reaction times into passing procedures might lower the magnitude of stability curves, hence improving overall traffic flow stability. Additionally, numerical simulations have provided further support to these theoretical findings, demonstrating that the proposed model has the potential to ease traffic congestion as well as ensure flow stability as the influence of these factors intensifies.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2024. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
