Some models of flow on a network are discussed. Assuming a macroscopic approach on each arc of the network, we consider a system of conservation laws and various possible choices to describe the evolution at vertices are discussed. A general framework proposed in recent literature is presented, then some new solutions for the scalar case are proposed and analyzed.

Vertex flow models for vehicular traffic on networks

D'APICE, Ciro;PICCOLI, Benedetto
2008-01-01

Abstract

Some models of flow on a network are discussed. Assuming a macroscopic approach on each arc of the network, we consider a system of conservation laws and various possible choices to describe the evolution at vertices are discussed. A general framework proposed in recent literature is presented, then some new solutions for the scalar case are proposed and analyzed.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11386/1845841
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