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Conference Papers Year : 2012

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

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Dominik Pisarski
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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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Dates and versions

hal-00691522 , version 1 (26-04-2012)
hal-00691522 , version 2 (14-06-2012)
hal-00691522 , version 3 (30-06-2012)

Identifiers

  • HAL Id : hal-00691522 , version 3

Cite

Dominik Pisarski, Carlos Canudas de Wit. Analysis and Design of Equilibrium Points for the Cell-Transmission Traffic Model. ACC 2012 - American Control Conference, Jun 2012, Montreal, Canada. ⟨hal-00691522v3⟩
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