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Published on: January 20, 2023
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An improved microscopic traffic model for heterogeneous vehicles using the vehicle's mass effect.
Zehua Si1, Md Anowar Hossain1, Jun Tanimoto1,2
1Interdisciplinary Graduate School of Engineering Sciences, Kyushu University, Kasuga-koen, Kasuga-shi, Fukuoka, 816-8580, Japan.
Heliyon
|June 19, 2023
Summary
This study introduces a new traffic model accounting for vehicle mass effects to improve traffic flow dynamics. The findings suggest this model can effectively absorb traffic jams without time delays.
Area of Science:
- Traffic flow dynamics
- Nonlinear physics
- Mathematical modeling
Background:
- Conventional traffic models often simplify vehicle characteristics.
- Understanding heterogeneous vehicle behavior is crucial for traffic management.
- Internal mass effects can significantly influence traffic flow patterns.
Purpose of the Study:
- To develop an advanced traffic model incorporating vehicle internal mass effects.
- To analyze the behavioral characteristics of the resulting flow field.
- To compare the proposed model against conventional approaches.
Main Methods:
- Development of a traffic model considering vehicle heterogeneity via internal mass.
- Linear stability analysis to determine flow neutralization conditions.
- Nonlinear analysis to derive the modified Korteweg-de Vries (mKdV) equation.
- Numerical simulations with cyclic boundary conditions.
Main Results:
- The proposed model demonstrates the capacity to neutralize flow under specific conditions.
- The derived mKdV equation and its solution allow observation of traffic behavior near neutral stability.
- Numerical simulations indicate that the mass effect can absorb traffic jams effectively.
- The absence of time delay is critical for the jam absorption property.
Conclusions:
- The internal mass effect is a significant factor in traffic flow modeling.
- The developed model offers a promising approach for mitigating traffic congestion.
- Further research could explore the impact of time delays on jam absorption.
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