Percolation properties in a traffic model
Authored by Feilong Wang, Daqing Li, Xiaoyun Xu, Ruoqian Wu, Shlomo Havlin
Date Published: 2015
DOI: 10.1209/0295-5075/112/38001
Sponsors:
National Basic Research Program of China
Collaborative Innovation Center for industrial Cyber-Physical System
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Model Documentation:
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Mathematical description
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Abstract
As a dynamical complex system, traffic is characterized by a transition
from free flow to congestions, which is mostly studied in highways.
However, despite its importance in developing congestion mitigation
strategies, the understanding of this common traffic phenomenon in a
city scale is still missing. An open question is how the traffic in the
network collapses from a global efficient traffic to isolated local
flows in small clusters, i.e. the question of traffic percolation. Here
we study the traffic percolation properties on a lattice by simulation
of an agent-based model for traffic. A critical traffic volume in this
model distinguishes the free state from the congested state of traffic.
Our results show that the threshold of traffic percolation decreases
with increasing traffic volume and reaches a minimum value at the
critical traffic volume. We show that this minimal threshold is the
result of longest spatial correlation between traffic flows at the
critical traffic volume. These findings may help to develop congestion
mitigation strategies in a network view. Copyright (C) EPLA, 2015
Tags
Complex networks
Transitions
systems
States