Analysis and Design of Equilibrium Points for the Cell-Transmission Traffic Model

Dominik Pisarski 1 Carlos Canudas de Wit 1
1 NECS - Networked Controlled Systems
Inria Grenoble - Rhône-Alpes, GIPSA-DA - Département Automatique
Abstract : The problem of equilibrium points for the Cell Transmission Model is studied. The structure of equilibrium sets is analyzed in terms of model parameters and boundary conditions. The goal is to determine constant input flows, so that the resultant steady state of vehicle density is uniformly distributed along a freeway. The necessary and sufficient conditions for the existence of one-to-one relation between input flow and density are derived. The equilibrium sets are described by formulas that allow to design a desired balanced density. A numerical example for the case of a two-cell system is presented.
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Conference papers
2012 American Control Conference (ACC 2012), Jun 2012, Montreal, Canada. 2012, Proceedings of the 2012 American Control Conference
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Dominik Pisarski, Carlos Canudas de Wit. Analysis and Design of Equilibrium Points for the Cell-Transmission Traffic Model. 2012 American Control Conference (ACC 2012), Jun 2012, Montreal, Canada. 2012, Proceedings of the 2012 American Control Conference. 〈hal-00691522v3〉

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