Scenarios of Destruction for Large Network and Increasing Reliability

Abstract

Damage scenarios for large networks are considered. The cascade scenario is described by means of powers of adjacency matrix. More difficult probabilistic variants of the large network damage are modeling by Markov chains. For reliability augmentation of networks we add a set of random intermediate agents with big dimensionality. It provides high reliability of all system even with low reliability of single components. Probabilistic estimation of reliability for reinforced network is made.