Analysis of a Car-Following Model with Driver Memory Effect

DOI10.1142/S0218127415500571zbMath1314.34166OpenAlexW1825991272MaRDI QIDQ5259041

Jian Xu, Zhi Xin

Publication date: 24 June 2015

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127415500571

zbMATH Keywords

hysteresisstabilitytraffic flowcar-following modelmemory effect

Mathematics Subject Classification ID

Stability theory of functional-differential equations (34K20) Traffic problems in operations research (90B20) Qualitative investigation and simulation of models involving functional-differential equations (34K60) Hysteresis for ordinary differential equations (34C55)

Related Items (2)

Empirical evidence and stability analysis of the linear car-following model with gamma-distributed memory effect ⋮ A following model considering multiple vehicles from the driver's front and rear perspectives

Cites Work

• Modifications of the optimal velocity traffic model to include delay due to driver reaction time
• Traffic jams: dynamics and control
• Stability of car following with human memory effects and automatic headway compensation
• Resurrection of "Second Order" Models of Traffic Flow

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