814 citations · 2.5k across the 69 of their papers we have counts for
Showing 2012 · math.APShow all
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math.AP2012★ 54 cited
Second-order models and traffic data from mobile sensors
Benedetto Piccoli, Ke Han, Terry L. Friesz +2
Mobile sensing enabled by GPS or smart phones has become an increasingly important source of traffic data. For sufficient coverage of the traffic stream, it is important to maintai…
math.AP2012★ 28 cited
Continuous-time link-based kinematic wave model: formulation, solution existence, and well-posedness
Ke Han, Benedetto Piccoli, W. Y. Szeto
We present a continuous-time link-based kinematic wave model (LKWM) for dynamic traffic networks based on the scalar conservation law model. Derivation of the LKWM involves the var…
math.AP2012★ 193 cited
Generalized Wasserstein distance and its application to transport equations with source
Benedetto Piccoli, Francesco Rossi
In this article, we generalize the Wasserstein distance to measures with different masses. We study the properties of such distance. In particular, we show that it metrizes weak co…