| Abstract: |
| The problem of convergence of particle models to continuum models is fundamental. In the context of traffic flow, the rigorous proof of such convergence has been established recently for the Lighthill-Whitham-Ricchards model. In traffic flow studies, it seems natural to introduce the effect of delay, accounting for drivers` reaction time. We consider a delayed version of Follow-the-Leader model, and aims to show the continuum limit. In this talk, we review the state of the art and present technical difficulties raised by time delay in the microscopic model, and some partial results. |
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