Strykhalyuk B. The tensor and fractal analysis of telecommunications networks convergence

This thesis is dedicated to the structures development for multi service networks on the basis of tensor and fractal analysis for their parameters calculation and the transition designation to the convergent networks. The possibilities of the backbone nets topological structures using for transition to the convergent network with help of tensor and fractal analysis were investigated. The tensor model of the telecommunication networks topological structures is improved, with additional branches introduction, which allows considering streams' parameters at the network nodes. On the basis of tensor model the characteristics of backbone and designed network streams were investigated. The analysis of multipath routing at telecommunication networks was conducted, the expedience of the К-path routing application and number of routes for convergent networks were defined. The quality of service parameters were investigated for backbone network and next generation networks with help of irreducible representations. The fractal analysis of the streams in multi service networks was carried out and traffic self-similarity was proved at the real network. The time parameters of the streams into real backbone and designing convergent networks forecasting was carried out. The virtual channels structure was presented for convergent networks by toroidal structures and the architecture of convergent network was proposed.