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arXiv · 2204.09011

Cascading traffic jamming in a two-dimensional Motter and Lai model

Gabriel Cwilich·Sergey V. Buldyrev
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Abstract

We study the cascading traffic jamming on a two-dimensional random geometric graph using the Motter and Lai model. The traffic jam is caused by a localized attack incapacitating circular region or a line of a certain size, as well as a dispersed attack on an equal number of randomly selected nodes. We investigate if there is a critical size of the attack above which the network becomes completely jammed due to cascading jamming, and how this critical size depends on the average degree $\langle k\rangle$ of the graph, on the number of nodes $N$ in the system, and the tolerance parameter $\alpha$ of the Motter and Lai model.

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Gabriel Cwilich, Sergey V. Buldyrev. 2022-04-19. Cascading traffic jamming in a two-dimensional Motter and Lai model. https://doi.org/10.1103/physreve.106.024303

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