Second-order multilane traffic flow models: from the microscopic to the macroscopic scale
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866912575499796480 |
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| author | Piu, Matteo Visconti, Giuseppe Puppo, Gabriella |
| author_facet | Piu, Matteo Visconti, Giuseppe Puppo, Gabriella |
| contents | This study addresses multilane vehicular traffic modelling, focusing on the transition between microscopic (individual vehicle-based) to macroscopic (aggregate flow-based) descriptions. While previous research on multilane traffic has largely focused on first-order models, we derive two new multilane second-order macroscopic models by applying a microscopic-to-macroscopic limit to the multilane Bando-Follow-the-Leader model. The resulting models incorporate lane-changing through source terms in a hyperbolic system of balance laws. We propose several numerical experiments showing that the models can reproduce complex traffic phenomena, including congestion propagation, non-equilibrium effects, and asymmetric lane usage. Leveraging experimental datasets from real-world highways, we further construct lane-specific empirical fundamental diagrams and compare them with their simulated counterparts, showing that our models can faithfully capture critical density values and characteristic lane-dependent patterns, thus offering a robust and generalizable tool for realistic traffic flow analysis |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_06083 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Second-order multilane traffic flow models: from the microscopic to the macroscopic scale Piu, Matteo Visconti, Giuseppe Puppo, Gabriella Physics and Society Analysis of PDEs This study addresses multilane vehicular traffic modelling, focusing on the transition between microscopic (individual vehicle-based) to macroscopic (aggregate flow-based) descriptions. While previous research on multilane traffic has largely focused on first-order models, we derive two new multilane second-order macroscopic models by applying a microscopic-to-macroscopic limit to the multilane Bando-Follow-the-Leader model. The resulting models incorporate lane-changing through source terms in a hyperbolic system of balance laws. We propose several numerical experiments showing that the models can reproduce complex traffic phenomena, including congestion propagation, non-equilibrium effects, and asymmetric lane usage. Leveraging experimental datasets from real-world highways, we further construct lane-specific empirical fundamental diagrams and compare them with their simulated counterparts, showing that our models can faithfully capture critical density values and characteristic lane-dependent patterns, thus offering a robust and generalizable tool for realistic traffic flow analysis |
| title | Second-order multilane traffic flow models: from the microscopic to the macroscopic scale |
| topic | Physics and Society Analysis of PDEs |
| url | https://arxiv.org/abs/2509.06083 |