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Dynamical model of traffic congestion and numerical simulation
Abstract
We present a dynamical model of traffic congestion based on the equation of motion of each vehicle. In this model, the legal velocity function is introduced, which is a function of the headway of the preceding vehicle. We investigate this model with both analytic and numerical methods. The stability of traffic flow is analyzed, and the evolution of traffic congestion is observed with the development of time.
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Citations
Cited by
Congested traffic states in empirical observations and microscopic simulations
Treiber, M., Hennecke, A., & Helbing, D. (2000) · Physical Review E · doi:10.1103/physreve.62.1805 · Cited by 4,762
Human-like autonomous car-following model with deep reinforcement learning
Zhu, M., Wang, X., & Wang, Y. (2018) · Transportation Research Part C: Emerging Technologies · doi:10.1016/j.trc.2018.10.024 · Cited by 533
Traffic jams: dynamics and control
Orosz, G., Wilson, R. E., & Stépán, G. (2010) · Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences · doi:10.1098/rsta.2010.0205 · Cited by 398
Zhao, W., Ngoduy, D., Shepherd, S., Liu, R., & Papageorgiou, M. (2018) · Transportation Research Part C: Emerging Technologies · doi:10.1016/j.trc.2018.05.025 · Cited by 357
Analysis of mixed traffic flow with human-driving and autonomous cars based on car-following model
Zhu, W.-X., & Zhang, H. M. (2018) · Physica A: Statistical Mechanics and its Applications · doi:10.1016/j.physa.2017.12.103 · Cited by 298
Metadata
- Authors
- Bando, M., Hasebe, K., Nakayama, A., Shibata, A., & Sugiyama, Y.
- Venue
- Physical Review E
- Publisher
- American Physical Society (APS)
- Published
- 1995-02-01
- Volume
- 51
- Issue
- 2
- Pages
- 1035-1042
- ISSN
- 1063-651X (ISSN-L)
- 1095-3787
- OpenAlex
- W1968719911
- Cited by
- 3,013
- References
- 0
- FWCI
- 48.37
- Type
- journal article
- Language
- en
- Open access
- closed
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- Bando, M., Hasebe, K., Nakayama, A., Shibata, A., & Sugiyama, Y. (1995). Dynamical model of traffic congestion and numerical simulation. Physical Review E. https://doi.org/10.1103/physreve.51.1035
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