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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2509.22671 |
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| _version_ | 1866911672528011264 |
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| author | Rahman, Nizhum Jackson, Trachette L. |
| author_facet | Rahman, Nizhum Jackson, Trachette L. |
| contents | Many headway-based car-following models describe longitudinal adaptation through linear relaxation laws, which can produce unrealistically large accelerations and limit the physical consistency of microscopic traffic dynamics. Motivated by this limitation, we develop a saturation-based extension of the classical Optimal Velocity Model (OVM) that preserves the headway-dependent desired-speed structure while introducing bounded nonlinear acceleration dynamics. Linear stability analysis shows that the proposed formulation preserves the classical long-wave instability mechanism associated with stop-and-go waves while modifying the stability threshold and enforcing bounded acceleration. Ring-road simulations support the analysis and illustrate how the model alters perturbation growth, wave amplitude, and relaxation behavior relative to the classical OVM. The resulting framework provides a compact and analytically tractable extension for studying nonlinear traffic-wave dynamics and physically constrained car-following behavior. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_22671 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A Saturation-Based Optimal Velocity Model for Traffic Flow Dynamics Rahman, Nizhum Jackson, Trachette L. Systems and Control Statistical Mechanics Fluid Dynamics Many headway-based car-following models describe longitudinal adaptation through linear relaxation laws, which can produce unrealistically large accelerations and limit the physical consistency of microscopic traffic dynamics. Motivated by this limitation, we develop a saturation-based extension of the classical Optimal Velocity Model (OVM) that preserves the headway-dependent desired-speed structure while introducing bounded nonlinear acceleration dynamics. Linear stability analysis shows that the proposed formulation preserves the classical long-wave instability mechanism associated with stop-and-go waves while modifying the stability threshold and enforcing bounded acceleration. Ring-road simulations support the analysis and illustrate how the model alters perturbation growth, wave amplitude, and relaxation behavior relative to the classical OVM. The resulting framework provides a compact and analytically tractable extension for studying nonlinear traffic-wave dynamics and physically constrained car-following behavior. |
| title | A Saturation-Based Optimal Velocity Model for Traffic Flow Dynamics |
| topic | Systems and Control Statistical Mechanics Fluid Dynamics |
| url | https://arxiv.org/abs/2509.22671 |