Vehicular Traffic Flow Theory: Three, Not Two Phases [review of "Introduction to Modern Traffic Flow Theory and Control: The Long Road to Three-Phase Traffic Theory; Kerner, B.S.; 2009) ]

2010 ◽  
Vol 5 (3) ◽  
pp. 91-91 ◽  
Author(s):  
Hannes Hartenstein
Keyword(s):  
Traffic Flow ◽  
Flow Theory ◽  
Vehicular Traffic ◽  
Traffic Flow Theory ◽  
Three Phase ◽  
Vehicular Traffic Flow ◽  
Two Phases ◽  
Traffic Theory ◽  
And Control

scholarly journals Dynamic OD estimation using three phase traffic flow theory

2010 ◽  
Vol 45 (2) ◽  
pp. 143-158 ◽  
Author(s):  
Seungjae Lee ◽  
Benjamin Heydecker ◽  
Yong Hoon Kim ◽  
Eui-Young Shon
Keyword(s):  
Traffic Flow ◽  
Flow Theory ◽  
Od Estimation ◽  
Traffic Flow Theory ◽  
Three Phase

VEHICULAR TRAFFIC FLOW CONTROLLED BY TRAFFIC LIGHT ON A STREET WITH OPEN BOUNDARIES

2013 ◽  
Vol 24 (08) ◽  
pp. 1350050 ◽  
Author(s):  
ABDELAZIZ MHIRECH ◽  
ASSIA ALAOUI ISMAILI
Keyword(s):  
Traffic Flow ◽  
Green Light ◽  
Fixed Time ◽  
Vehicular Traffic ◽  
Traffic Light ◽  
Time Step ◽  
Open Boundaries ◽  
Accident Probability ◽  
Vehicular Traffic Flow ◽  
Two Phases

The Nagel–Schreckenberg (NS) cellular automata (CA) model for describing the vehicular traffic flow in a street with open boundaries is studied. To control the traffic flow, a traffic signalization light operating for a fixed-time scheme is placed in the middle of the street. Extensive Monte Carlo simulations are carried out to calculate various model characteristics. Essentially, we investigate the formation of the cars queue behind traffic light dependence on the duration of green light Tg, injecting and extracting probabilities α and β, respectively. Two phases of average training queues were found. Besides, the dependence of car accident probability per site and per time step on Tg, α and β is computed.

scholarly journals Fractal Dynamical Model of Vehicular Traffic Flow within the Local Fractional Conservation Laws

2014 ◽  
Vol 2014 ◽  
pp. 1-5 ◽  
Author(s):  
Long-Fei Wang ◽  
Xiao-Jun Yang ◽  
Dumitru Baleanu ◽  
Carlo Cattani ◽  
Yang Zhao
Keyword(s):  
Fractional Calculus ◽  
Conservation Laws ◽  
Traffic Flow ◽  
Mathematical Theory ◽  
Conservation Equation ◽  
Vehicular Traffic ◽  
New Model ◽  
Local Fractional Calculus ◽  
Vehicular Traffic Flow ◽  
Fractal Network

We suggest a new model of the scale conservation equation in the mathematical theory of vehicular traffic flow on the fractal network based on the local fractional calculus.

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