DocumentCode :
574465
Title :
Analysis and design of equilibrium points for the Cell-Transmission Traffic Model
Author :
Pisarski, D. ; Canudas-de-Wit, C.
Author_Institution :
NeCS Team, INRIA, Grenoble, France
fYear :
2012
fDate :
27-29 June 2012
Firstpage :
5763
Lastpage :
5768
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.
Keywords :
automated highways; numerical analysis; road traffic control; set theory; boundary conditions; cell-transmission traffic model; constant input flows; equilibrium points; equilibrium sets; freeway systems; input flow; model parameters; ramp metering; variable speed limiting; vehicle density; Boundary conditions; Equations; Steady-state; Traffic control; Vectors; Vehicles;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
American Control Conference (ACC), 2012
Conference_Location :
Montreal, QC
ISSN :
0743-1619
Print_ISBN :
978-1-4577-1095-7
Electronic_ISBN :
0743-1619
Type :
conf
DOI :
10.1109/ACC.2012.6315050
Filename :
6315050
Link To Document :
بازگشت