Yeremenko O. Methods of traffic management with ensuring fault-tolerance and network security based on use of dynamic tensor models of telecommunication systems

Object – traffic management processes supporting Quality of Service and ensuring fault-tolerance and network security in telecommunication networks. Purpose – the increase of fault-tolerance and security with the provision of the given level of Quality of Service in telecommunication networks by developing and improving the corresponding models and methods of routing and traffic management. Methods of research – tensor calculus and analysis, the theory of differential equations; set theory and graph theory; postulates and principles of the theory of hierarchical multilevel systems; methods of mathematical programming; methods of simulation modeling. Results – the system of tensor models of QoS-routing and traffic management, represented in coordinate systems of circuits and node pairs, as well as interpolar paths and internal node pairs, is improved; the two-level method of intra-domain hierarchical coordination QoS-routing based on resource reservation has been further developed; the dynamic model of multipath routing with the provision of Quality of Service for the parameter of the probability of timely delivery of packets in the telecommunication network has been proposed for the first time; the system of the flow-based models of fault-tolerant routing has been further developed without reservation of elements of the telecommunication network using paths that do not intersect or overlap only by nodes; the flow-based model of fast rerouting with the linear form of the conditions of the link and node protection in the implementation of multipath routing and the introduction of a system of optimality criteria of solutions for fault-tolerant routing with the establishment of a hierarchy of weight coefficients ratios in the corresponding objective functions has been further developed; the two-level method of fast rerouting with load balancing in Software-defined Networks has been proposed for the first time; the linear optimization model for multipath fast rerouting with load balancing in a telecommunication network with link, node, and bandwidth protection has been proposed for the first time; the method of hierarchical coordination inter-area fast rerouting, based on the decomposition representation of the flow-based routing model and using the goal coordination principle, has been improved; the system of fault-tolerant routing models with default gateway protection has been proposed for the first time; the mathematical model of fault-tolerant QoS-routing in a multiservice telecommunication network with the provision of realization a scheme for protecting the level of Quality of Service on the parameters of bandwidth and the average end-to-end packet delay has been proposed for the first time; the methods of secure routing and secure fast rerouting of the messages over the overlapping paths that are related to the class of proactive and reactive solutions of providing a given level of network security have been proposed for the first time. Implementation – in the educational process of the Department of Infocommunication Engineering in Kharkiv National University of Radio Electronics in a lecture course and practical classes on discipline «Management and routing in the TCS»; in research works: scientific research work № 299-1 (SR №0115U002432) «Increasing the scalability of technological solutions to provide Quality of Service in convergent telecommunication systems», scientific research work SR №0116U000066 т. The field of use is telecommunication systems and networks.