A Traffic Model Aware of Real Time Data

2014/11/09 by Rinaldo M. Colombo, Colombo, Rinaldo M., Francesca Marcellini +1
Engineering · Mathematics · Social Sciences · #35L65 #90B20 #Analysis of PDEs (math.AP) #Computer network #Computer science #FOS: Mathematics #Global Positioning System #Real-time computing #Real-time data #Telecommunications #Traffic Prediction and Management Techniques #Traffic control and management #Traffic model #Transportation Planning and Optimization #World Wide Web #math.AP #msc:35L65 #msc:90B20

paper · pdf · doi:10.48550/arxiv.1411.2251

21 pages, 8 figures

arxiv created 2014/11/09 · openalex publication_date 2014/11/09 · arxiv updated 2014/11/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Nowadays, traffic monitoring systems have access to real time data, e.g. through GPS devices. We propose a new traffic model able to take into account these data and, hence, able to describe the effects of unpredictable accidents. The well posedness of this model is proved and numerical integrations show qualitative features of the resulting solutions. As a further motivation for the use of real time data, we show that the inverse problem for the Lighthill-Whitam and Richards (LWR) model is ill posed.

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