TITLE:
Criterion for the Emergence of Meta-Stable States in Traffic Systems
AUTHORS:
Liuhua Zhu
KEYWORDS:
Traffic Flow, Cellular Automaton, Matthew Effect, Hysteresis Loop Meta-Stable State
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.8 No.6,
June
1,
2020
ABSTRACT: 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.