This study presents a generic second order family, which generalizes the ARZ (Aw-Rascle-Zhang) model. This family, called EARZ (Extended Aw-Rascle-Zhang) is characterized by a variable fundamental diagram, and by the presence along car trajectories of an invariant related to the fundamental diagram, and by a wide scatter of traffic data in the congested domain. It is shown that the resolution methods developed for the ARZ model can be suitably extended to the EARZ family. A bi-phase traffic flow model introduced recently by Colombo is shown to be close to a model belonging to the EARZ family. The properties of this model are easily deducted from those of the EARZ models. For the covering abstract see ITRD E144727. Reprinted with permission of Elsevier
Samenvatting