scholarly journals A new stochastic cellular automaton model on traffic flow and its jamming phase transition

2006 ◽  
Vol 39 (50) ◽  
pp. 15327-15339 ◽  
Author(s):  
Satoshi Sakai ◽  
Katsuhiro Nishinari ◽  
Shinji Iida
Keyword(s):  
Phase Transition ◽  
Cellular Automaton ◽  
Traffic Flow ◽  
Cellular Automaton Model ◽  
Stochastic Cellular Automaton

Cellular automaton modeling of traffic flow at a crosswalk with push button

2015 ◽  
Vol 26 (02) ◽  
pp. 1550019 ◽  
Author(s):  
Dong-Fan Xie ◽  
Xiao-Mei Zhao ◽  
Xin-Gang Li
Keyword(s):  
Phase Transition ◽  
Reaction Time ◽  
Theoretical Analysis ◽  
Cellular Automaton ◽  
Traffic Flow ◽  
Critical Value ◽  
Cellular Automaton Model ◽  
Push Button

In this work, a cellular automaton model is presented to depict the traffic flow at such a crosswalk with push button. The characteristics of vehicle flow with various arriving rate of pedestrians are investigated. Flux curves and spatiotemporal diagrams are plotted to show different traffic states and the phase transition features. A parameter, named as button reaction time, is introduced to represent the green time for vehicle flow after the button is pushed by a pedestrian. The effect of button reaction time on saturated flux is investigated. The results show that there is a critical value of button reaction time. The saturated flux increases rapidly when button reaction time is smaller than the critical value, while it increases slowly otherwise. Furthermore, theoretical analysis is performed and the results coincide with the simulation ones.

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