Author(s)

Liuhua Zhu^1,2

¹School of Physics and Telecommunication Engineering, Yulin Normal University, Yulin, China.
²Guangxi Colleges and Universities Key Laboratory of Complex System Optimization and Big Data Processing, Yulin, China.

The measurements on actual traffic have revealed the existence of meta-stable states with high flow. Such nonlinear phenomena have not been observed in the classic Nagel-Schreckenberg traffic flow model. Here we just add a constraint to the classic model by introducing a velocity-dependent randomization. Two typical randomization strategies are adopted in this paper. It is shown that the Matthew effect is a necessary condition to induce traffic meta-stable states, thus shedding a light on the prerequisites for the emergence of hysteresis loop in the fundamental diagrams.

Traffic Flow, Cellular Automaton, Matthew Effect, Hysteresis Loop Meta-Stable State

Zhu, L. (2020) Criterion for the Emergence of Meta-Stable States in Traffic Systems. Journal of Applied Mathematics and Physics, 8, 976-982. doi: 10.4236/jamp.2020.86076.