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-Whitham and Richards (LWR) model is ill-posed.
Marcellini, F., & Colombo, R. (2016). A traffic model aware of real time data. MATHEMATICAL MODELS AND METHODS IN APPLIED SCIENCES, 26(3), 445-467.
Citazione: | Marcellini, F., & Colombo, R. (2016). A traffic model aware of real time data. MATHEMATICAL MODELS AND METHODS IN APPLIED SCIENCES, 26(3), 445-467. |
Tipo: | Articolo in rivista - Articolo scientifico |
Carattere della pubblicazione: | Scientifica |
Presenza di un coautore afferente ad Istituzioni straniere: | No |
Titolo: | A traffic model aware of real time data |
Autori: | Marcellini, F; Colombo, R.M. |
Autori: | MARCELLINI, FRANCESCA (Primo) |
Data di pubblicazione: | 2016 |
Lingua: | English |
Rivista: | MATHEMATICAL MODELS AND METHODS IN APPLIED SCIENCES |
Digital Object Identifier (DOI): | http://dx.doi.org/10.1142/S0218202516500081 |
Appare nelle tipologie: | 01 - Articolo su rivista |