Bounded-METANET: A new discrete-time second-order macroscopic traffic flow model for bounded speed
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866917964992741376 |
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| author | Zhao, Weiming Roncoli, Claudio Yildirimoglu, Mehmet |
| author_facet | Zhao, Weiming Roncoli, Claudio Yildirimoglu, Mehmet |
| contents | Macroscopic traffic flow models are essential for analysing traffic dynamics in highways and urban roads. While second-order models like METANET capture non-equilibrium traffic states, they often produce unrealistic speed predictions, such as negative values or speeds above the free-flow limit, which limits their reliability in traffic management. To overcome these limitations, we introduce Bounded-METANET, a new discrete-time second-order model that refines METANET's speed update equation by removing the convection term and adding a virtual density mechanism to reflect anticipation and merging effects. This ensures that speeds stay bounded between zero and the free-flow speed, simplifying calibration and boosting usability. Validated with SUMO simulations and real-world German highway data, Bounded-METANET accurately captures non-equilibrium flow and the capacity drop phenomenon, and outperforms METANET in estimating the fundamental diagram under congestion. It achieves lower RMSE for speed and density in noise-free simulation data and better flow estimation in real-world data, though METANET edges out in speed RMSE. Unlike METANET, which can produce erratic shockwave speeds and flow errors, Bounded-METANET delivers consistent, realistic predictions. This makes it a promising tool for traffic modelling and control in various scenarios. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_17680 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Bounded-METANET: A new discrete-time second-order macroscopic traffic flow model for bounded speed Zhao, Weiming Roncoli, Claudio Yildirimoglu, Mehmet Physics and Society Macroscopic traffic flow models are essential for analysing traffic dynamics in highways and urban roads. While second-order models like METANET capture non-equilibrium traffic states, they often produce unrealistic speed predictions, such as negative values or speeds above the free-flow limit, which limits their reliability in traffic management. To overcome these limitations, we introduce Bounded-METANET, a new discrete-time second-order model that refines METANET's speed update equation by removing the convection term and adding a virtual density mechanism to reflect anticipation and merging effects. This ensures that speeds stay bounded between zero and the free-flow speed, simplifying calibration and boosting usability. Validated with SUMO simulations and real-world German highway data, Bounded-METANET accurately captures non-equilibrium flow and the capacity drop phenomenon, and outperforms METANET in estimating the fundamental diagram under congestion. It achieves lower RMSE for speed and density in noise-free simulation data and better flow estimation in real-world data, though METANET edges out in speed RMSE. Unlike METANET, which can produce erratic shockwave speeds and flow errors, Bounded-METANET delivers consistent, realistic predictions. This makes it a promising tool for traffic modelling and control in various scenarios. |
| title | Bounded-METANET: A new discrete-time second-order macroscopic traffic flow model for bounded speed |
| topic | Physics and Society |
| url | https://arxiv.org/abs/2503.17680 |