Modeling of open network reliability including the Internet based on the theory of percolation in two - dimensional and three-dimensional regular and random network structures

摘要

The article describes various models and strategies of blocking network nodes in their address space and physical space. It is shown that the modeling of these processes in the address space only is less informative. The modeling results in the physical space have shown that both in regular two-dimensional (2D) and in three-dimensional (3D) structures the increase of the average number of bonds per one node increases as well the speed of formation of the blocked nodes clusters and the percolation threshold. At that in 3D structures, the speed of clustering and the percolation threshold are higher. The process of the blocked nodes clustering in the 3D structures is faster than in the 2D structures, and the highest efficiency in terms of working capacity have 2D networks with multiple bonds between their nodes. The obtained results allow us to make recommendations for improving the reliability of open networks, including the Internet.