Traffic flow model considering the dynamics prediction of the leading vehicle

Maxim Pogrebnyak

Physica A: Statistical Mechanics and its Applications, 2024, vol. 649, issue C

Abstract: Traffic flow modeling has become increasingly important in today’s society due to the growing number of vehicles on the roads, leading to congestion and traffic incidents. Mathematical modeling can aid in the planning and optimization of transportation systems, enhancing overall efficiency and safety. The main result of this study is a mathematical model that describes the dynamics of multiple vehicles, taking into account the prediction of the leading vehicle’s behavior. The model is formulated as a system of delay differential equations. A computer program has been developed based on this model, which simulates traffic flow in various road scenarios. The simulation results are consistent with observed data from real traffic flows.

Keywords: Mathematical model; Traffic flow dynamics; Delay differential equations (search for similar items in EconPapers)
Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:649:y:2024:i:c:s0378437124004552

DOI: 10.1016/j.physa.2024.129946

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