A novel dynamics model of fault propagation and equilibrium analysis in complex dynamical communication network

Sheng Hong (1) , Hongqi Yang (1) , Enrico Zio (2, 3) , Ning Huang (4)

1 School of Reliability and System Engineering
2 LGI - Laboratoire Génie Industriel - EA 2606
3 SSEC - Chaire Sciences des Systèmes et Défis Energétiques EDF/ECP/Supélec
4 School of Reliability and System Engineering

To describe failure propagation dynamics in complex dynamical communication networks, we propose an efficient and compartmental standard-exception-failure propagation dynamics model based on the method of modeling disease propagation in social networks. Mathematical formulas are derived and differential equations are solved to analyze the equilibrium of the propagation dynamics. Stability is evaluated in terms of the balance factor G and it is shown that equilibrium where the number of nodes in different states does not change, is globally asymptotically stable if G≥1. The theoretical results derived are verified by numerical simulations. We also investigate the effect of some network parameters, e.g. node density and node movement speed, on the failure propagation dynamics in complex dynamical communication networks to gain insights for effective measures of control of the scale and duration of the failure propagation in complex dynamical communication networks.

Domaines: Autre

Sheng Hong, Hongqi Yang, Enrico Zio, Ning Huang. A novel dynamics model of fault propagation and equilibrium analysis in complex dynamical communication network. Applied Mathematics and Computation, 2014, 247, pp.1021-1029. ⟨hal-01074028⟩