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arXiv · 2604.25484

Mathematical Models of Traffic Flow at a Signalized Intersection

Akbota Senkebayeva
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Abstract

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.

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Akbota Senkebayeva. 2026-04-28. Mathematical Models of Traffic Flow at a Signalized Intersection. https://arxiv.org/abs/2604.25484

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