Clusters in Macroscopic Traffic Flow Models

Rosa María Velasco, Patricia Saavedra

Universidad Autónoma Metropolitana, Iztapalapa, México.

DOI: 10.4236/wjm.2012.21007                

Abstract

This paper concerns the traveling wave formation in macroscopic traffic flow models. The dynamics involved in this problem is described following a close analogy to compressible fluid dynamics. It is well known that vehicle clusters appear along a highway when the homogenous steady state taken as a reference is linearly unstable. The cluster properties are determined in an approximate way in terms of the parameters proper to each model and are compared between them.

Keywords

Traffic Flow; Solitons

Conflicts of Interest

The authors declare no conflicts of interest.

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