Chen, J, Liu, R orcid.org/0000-0003-0627-3184, Ngoduy, D orcid.org/0000-0002-0446-5636 et al. (1 more author) (2016) A new multi-anticipative car-following model with consideration of the desired following distance. Nonlinear Dynamics, 85 (4). pp. 2705-2717. ISSN 0924-090X
Abstract
We propose in this paper an extension of the multi-anticipative optimal velocity car-following model to consider explicitly the desired following distance. The model on the following vehicle’s acceleration is formulated as a linear function of the optimal velocity and the desired distance, with reaction-time delay in elements. The linear stability condition of the model is derived. The results demonstrate that the stability of traffic flow is improved by introducing the desired following distance, increasing the time gap in the desired following distance or decreasing the reaction-time delay. The simulation results show that by taking into account the desired following distance as well as the optimal velocity, the multi-anticipative model allows longer reaction-time delay in achieving stable traffic flows.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2016, Springer Science+Business Media Dordrecht. This is an author produced version of a paper published in Nonlinear Dynamics. Uploaded in accordance with the publisher's self-archiving policy. The final publication is available at Springer via http://dx.doi.org/10.1007/s11071-016-2856-4 |
Keywords: | Multi-anticipative model; desired following distance; stability analysis; traffic flow |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Environment (Leeds) > Institute for Transport Studies (Leeds) > ITS: Spatial Modelling and Dynamics (Leeds) |
Funding Information: | Funder Grant number Railway Safety & Standards Board T1071-02 |
Depositing User: | Symplectic Publications |
Date Deposited: | 20 May 2016 09:58 |
Last Modified: | 20 Jul 2017 03:36 |
Published Version: | http://dx.doi.org/10.1007/s11071-016-2856-4 |
Status: | Published |
Publisher: | Springer Verlag |
Identification Number: | 10.1007/s11071-016-2856-4 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:99949 |