2 citations
3 papers
math.AP2025
A multi-class non-local macroscopic model with time delay for mixed autonomous / human-driven traffic
Ilaria Ciaramaglia, Paola Goatin, Gabriella Puppo
In this paper, we present a class of systems of non-local conservation laws in one space-dimension incorporating time delay, which can be used to investigate the interaction betwee…
math.AP2024★ 2 cited
A multi-scale multi-lane model for traffic regulation via autonomous vehicles
Paola Goatin, Benedetto Piccoli
We propose a new model for multi-lane traffic with moving bottlenecks, e.g., autonomous vehicles (AV). It consists of a system of balance laws for traffic in each lane, coupled in…
math.AP2024
Non-local traffic flow models with time delay: well-posedness and numerical approximation
Ilaria Ciaramaglia, Paola Goatin, Gabriella Puppo
We prove the well-posedness of weak entropy solutions of a scalar non-local traffic flow model with time delay. Existence is obtained by convergence of finite volume approximate so…