Criterion for the Emergence of Meta-Stable States in Traffic Systems

• 作者: Liuhua Zhu
• 来源期刊: 应用数学与应用物理(英文)
• 学科: 数学
• 关键词: Traffic Flow Cellular Automaton Matthew Effect Hysteresis Loop Meta-Stable State
• 年，卷（期）: 2020,（6）
• 页码范围: 976-982
• 页数: 7页
• 分类号: O17

摘要

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.