Application of catastrophe theory to traffic flow variables

Application of catastrophe theory to traffic flow variables

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Article ID: iaor1995659
Country: United States
Volume: 28B
Issue: 3
Start Page Number: 235
End Page Number: 250
Publication Date: Jun 1994
Journal: Transportation Research. Part B: Methodological
Authors: ,
Keywords: catastrophe theory
Abstract:

This paper describes the results of the application of catastrophe theory to real traffic flow data. Using information from the Queen Elizabeth Way Freeway Traffic Management System, near Toronto, Ontario, Canada, it shows that catastrophe theory can be effectively applied to traffic flow. Following previous work done by Navin and Hall and others, this paper demonstrates how a transformation of variables and axes, including translation and rotation of the axes, is able to provide a good fit for a catastrophe theory model to traffic data. The paper also describes the criteria for the selection of the position of a new origin and the determination of the angle for rotating the axes.

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