Journal
APPLIED MATHEMATICAL MODELLING
Volume 109, Issue -, Pages 693-708Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.apm.2022.05.026
Keywords
Car following model; Heterogeneous traffic flow; Connected vehicles; Memory feedback control signal; Stability analysis
Funding
- Program of Humanities and Social Science of Education Ministry of China [20YJA630008]
- Ningbo Natural Science Foundation of China [202003N4142, 2021J111]
- Natural Science Foundation of Zhejiang Province, China [LY20G010004, LY19A010002]
- K.C. Wong Magna Fund in Ningbo University, China
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This paper designs a memory feedback control signal based on the historical traffic information of the vehicle itself to improve the intelligent driver model and discusses the stability of heterogeneous traffic flow composed of connected vehicles and regular vehicles.
Urban traffic is developing rapidly in the direction of intelligence and networking. In order to further enhance the role of connected vehicles in improving the traffic characteristic of the heterogeneous traffic flow, this paper designs a memory feedback control signal based on the historical traffic information of the vehicle itself, so as to improve the in-telligent driver model. Furthermore, the improved homogeneous intelligent driver model is extended to heterogeneous intelligent driver model of heterogeneous traffic flow com-posed of connected vehicles and regular vehicles, and the stability of heterogeneous traffic flow is discussed. The stability condition of the heterogeneous traffic flow is derived by linear stability analysis method, which shows that the proportion and distribution of con-nected vehicles and the strength of memory feedback control signal affect the stability of traffic flow to a certain extent. In addition, the results of numerical simulation reveal that the stability of heterogeneous traffic flow is enhanced after considering the memory feedback control signal, no matter in low or high proportion of connected vehicles.(c) 2022 Elsevier Inc. All rights reserved.
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