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Nonlinear Follow-the-Leader Models of Traffic Flow
Abstract
A variety of nonlinear follow-the-leader models of traffic flow are discussed in the light of available observational and experimental data. Emphasis is placed on steady-state flow equations. Some trends regarding the advantages of certain follow-the-leader functionals over others are established. However, it is found from extensive correlation studies that more data are needed before one can establish the unequivocal superiority of one particular model. A discussion is given of some ideas concerning the possible reasons for the existence of a bimodal flow versus concentration curve especially for multilane highways.
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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
A behavioural car-following model for computer simulation
Gipps, P. G. (1981) · Transportation Research Part B: Methodological · doi:10.1016/0191-2615(81)90037-0 · Cited by 2,357
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
SceneGen: Learning to Generate Realistic Traffic Scenes
Tan, S., Wong, K., Wang, S., Manivasagam, S., Ren, M., & Urtasun, R. (2021) · 2021 IEEE/CVF Conference on Computer Vision and Pattern Recognition (CVPR) · doi:10.1109/cvpr46437.2021.00095 · Cited by 104
“In contrast, microscopic models simulate the behavior of each individual vehicle over time by assuming a car-following model [36, 6, 34, 13, 17, 1, 44].”
Background
Metadata
- Authors
- Gazis, D. C., Herman, R., & Rothery, R. W.
- Venue
- Operations Research
- Published
- 1961-08
- Volume
- 9
- Issue
- 4
- Pages
- 545-567
- ISSN
- 0030-364X (ISSN-L)
- 1526-5463
- OpenAlex
- W2124298315
- Cited by
- 1,518
- References
- 0
- FWCI
- 5.86
- Type
- journal article
- Language
- en
- Open access
- closed
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- Gazis, D. C., Herman, R., & Rothery, R. W. (1961). Nonlinear Follow-the-Leader Models of Traffic Flow. Operations Research. https://doi.org/10.1287/opre.9.4.545
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
