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A simple contagion process describes spreading of traffic jams in urban networks
- Saberi, Meead;
- Hamedmoghadam, Homayoun;
- Ashfaq, Mudabber;
- Hosseini, Seyed Amir;
- Gu, Ziyuan;
- Shafiei, Sajjad;
- Nair, Divya J;
- Dixit, Vinayak;
- Gardner, Lauren;
- Waller, S Travis;
- González, Marta C
Published Web Location
https://doi.org/10.1038/s41467-020-15353-2Abstract
The spread of traffic jams in urban networks has long been viewed as a complex spatio-temporal phenomenon that often requires computationally intensive microscopic models for analysis purposes. In this study, we present a framework to describe the dynamics of congestion propagation and dissipation of traffic in cities using a simple contagion process, inspired by those used to model infectious disease spread in a population. We introduce two macroscopic characteristics for network traffic dynamics, namely congestion propagation rate β and congestion dissipation rate μ. We describe the dynamics of congestion spread using these new parameters embedded within a system of ordinary differential equations, similar to the well-known susceptible-infected-recovered (SIR) model. The proposed contagion-based dynamics are verified through an empirical multi-city analysis, and can be used to monitor, predict and control the fraction of congested links in the network over time.
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