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 [10.1142/S0218202516500081].

A traffic model aware of real time data

MARCELLINI, FRANCESCA
Primo
;
2016

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-Whitham and Richards (LWR) model is ill-posed.
Articolo in rivista - Articolo scientifico
hyperbolic systems of conservation laws; Macroscopic traffic models;
hyperbolic systems of conservation laws; Macroscopic traffic models
English
445
467
23
Marcellini, F., & Colombo, R. (2016). A traffic model aware of real time data. MATHEMATICAL MODELS AND METHODS IN APPLIED SCIENCES, 26(3), 445-467 [10.1142/S0218202516500081].
Marcellini, F; Colombo, R
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/134638
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