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Car-following models: fifty years of linear stability analysis – a mathematical perspective
Abstract
A general framework for car-following models is developed and its linear stability properties are analysed. The concepts of uniform flow, platoon stability and string stability are introduced and criteria which test for them are developed. Finally, string instability is divided into absolute, convective upstream and convective downstream sub-classes, and a procedure is developed to distinguish between them.
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Cited by
Influence of connected and autonomous vehicles on traffic flow stability and throughput
Talebpour, A., & Mahmassani, H. S. (2016) · Transportation Research Part C: Emerging Technologies · doi:10.1016/j.trc.2016.07.007 · Cited by 1,388
Decentralized Cooperative Lane-Changing Decision-Making for Connected Autonomous Vehicles
Nie, J., Zhang, J., Ding, W., Wan, X., Chen, X., & Ran, B. (2016) · IEEE Access · doi:10.1109/access.2017.2649567 · Cited by 125
Jin, S., Sun, D.-H., Zhao, M., Li, Y., & Chen, J. (2020) · Physica A: Statistical Mechanics and its Applications · doi:10.1016/j.physa.2020.124217 · Cited by 86
Network traffic instability with automated driving and cooperative merging
Gu, Z., Wang, Z., Liu, Z., & Saberi, M. (2022) · Transportation Research Part C: Emerging Technologies · doi:10.1016/j.trc.2022.103626 · Cited by 57
Metadata
- Authors
- Wilson, R. E., & Ward, J. A.
- Venue
- Transportation Planning and Technology
- Publisher
- Informa UK Limited
- Published
- 2011-02
- Volume
- 34
- Issue
- 1
- Pages
- 3-18
- ISSN
- 0308-1060 (ISSN-L)
- 1029-0354
- OpenAlex
- W2010921714
- Cited by
- 319
- References
- 0
- FWCI
- 10.62
- Type
- journal article
- Language
- en
- Open access
- closed
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- Wilson, R. E., & Ward, J. A. (2011). Car-following models: fifty years of linear stability analysis – a mathematical perspective. Transportation Planning and Technology. https://doi.org/10.1080/03081060.2011.530826
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