Brief paper: Parameter identification for a traffic flow model

Authors:
M. Cremer;M. Papageorgiou
Affiliations:
Professur für Meβ- und Regelungstechnik, Universität Hamburg, Lohbrügger Kirchstrasse 65, 2050 Hamburg 80, F.R.G.;Lehrstuhl und Laboratorium für Steuerungs- and Regelungstechnik, Technische Universität München, Arcisstrasse 21, 8000 München, F.R.G.
Venue:
Automatica (Journal of IFAC)
Year:
1981

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Abstract

In this paper, a macroscopic model is presented which describes the traffic flow on a freeway by a set of nonlinear, deterministic difference equations. The model is deduced from simple physical and empirical considerations and contains a set of free parameters which have to be estimated using real traffic data. This identification procedure is formulated here as a parameter optimization problem which is solved by nonlinear programming. In addition, the sensitivity of the model with respect to parameter changes and structural changes is investigated. Although stochastic events play a role in traffic dynamics, the results demonstrate that the validated model copes surprisingly well with real traffic behaviour.