A macro-model for traffic flow with consideration of driver’s reaction time and distance

Reaction delays from drivers are indispensable factors in modeling vehicle movements. In this paper, we present an extended car-following model considering the drivers reaction time and distance. A new macroscopic model based on the driver’s reaction time and distance is developed using the relation...

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Bibliographic Details
Published in:Nonlinear dynamics 2016-02, Vol.83 (3), p.1621-1628
Main Authors: Davoodi, Nooshin, Soheili, Ali R., Hashemi, S. Mehdi
Format: Article
Language:English
Subjects:
Automotive Engineering
Car following
Classical Mechanics
Control
Delay
Drivers
Dynamical Systems
Engineering
Evolution
Macroscopic models
Mathematical analysis
Mathematical models
Mechanical Engineering
Movements
Original Paper
Perturbation
Perturbation methods
Rarefaction
Reaction time
Traffic flow
Traffic models
Vibration
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Summary:Reaction delays from drivers are indispensable factors in modeling vehicle movements. In this paper, we present an extended car-following model considering the drivers reaction time and distance. A new macroscopic model based on the driver’s reaction time and distance is developed using the relationship between the microscopic and macroscopic variables. Analytical results show that the increase in reaction time and distance can potentially lead to more stable traffic flow. Furthermore, numerical results show that the proposed model can reproduce the evolution of shock, rarefaction wave, and small perturbation.
ISSN:0924-090X
1573-269X
DOI:10.1007/s11071-015-2435-0