Abstract
This paper presents a generalized second-order hydrodynamic traffic model. Its central piece is the expression for the relative velocity of the congestion (compression wave) propagation. We show that the well-known second-order models of Payne–Whitham, Aw–Rascal and Zhang are all special cases of the featured generalized model, and their properties are fully defined by how the relative velocity of the congestion is expressed. The proposed model is verified with traffic data from a segment of the Interstate 580 freeway in California, USA, collected by the California DOT’s Performance Measurement System (PeMS).
Highlights
In this paper, we introduce a new second-order hydrodynamic traffic model that generalizes the existing second-order models
To verify the proposed model, we carried out numerical experiments using traffic detector data for a segment of the I-580 freeway in California, USA, obtained from Performance Measurement System (PeMS) ([1])
Existing second-order macroscopic models describe traffic as non-linear systems of hyperbolic equations, which differ in the way they account for dependency between traffic flow and density
Summary
We introduce a new second-order hydrodynamic traffic model that generalizes the existing second-order models. The vehicle conservation law in the LWR model is expressed in the differential form of a continuity equation with zero right-hand side:. The class of macroscopic models has expanded to systems of non-linear hyperbolic second-order PDEs, where the unique dependence of traffic density and speed is no longer assumed ([4,5,6,7,8,9,10,11,12]) These models differ in the way that they describe the dependency of traffic flow (or velocity) on density.
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