Mathematical Models of Traffic Flow at a Signalized Intersection
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866908997969248256 |
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| author | Senkebayeva, Akbota |
| author_facet | Senkebayeva, Akbota |
| contents | This paper presents two one-dimensional mathematical models describing automobile traffic flow on straight road segments at a signalized intersection. When the traffic light is permissive, the flow density and velocity are obtained by solving an initial-boundary value problem for a first-order hyperbolic system. When the signal is prohibitive, the same quantities are governed by a mixed system comprising a second-order parabolic equation for the velocity and a first-order equation for the density. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_25484 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Mathematical Models of Traffic Flow at a Signalized Intersection Senkebayeva, Akbota Analysis of PDEs This paper presents two one-dimensional mathematical models describing automobile traffic flow on straight road segments at a signalized intersection. When the traffic light is permissive, the flow density and velocity are obtained by solving an initial-boundary value problem for a first-order hyperbolic system. When the signal is prohibitive, the same quantities are governed by a mixed system comprising a second-order parabolic equation for the velocity and a first-order equation for the density. |
| title | Mathematical Models of Traffic Flow at a Signalized Intersection |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2604.25484 |