Al- A. Models and methods of active queue management of traffic in telecommunication networks

The object of the study are the processes of the routing and distribution of channel resources in WiMAX mesh networks. Subject of research - models and methods of routing based on the distribution of channel resources in WiMAX mesh networks. Research methods. In the course of dissertation researches for solving the formulated scientific and applied problem, methods of differential-difference state equations were used at the stage of development of models of WiMAX mesh networks, methods of the theory of optimal control, graph theory and mathematical apparatus of operations research at the stage of solving the formulated optimization problem and development routing methods. The estimation of the efficiency of the developed models and methods of routing were carried out by analytical modeling. Theoretical and practical results: the mathematical model got further developed in the state space by its adaptation to the solution of routing problems on the basis of distribution of channel resources in the WiMax mesh network; The proposed dynamic mathematical model of the WiMax mesh network in the state space got further developed by expanding of it on a network with guaranteed quality of service; The dynamical model got further developed in the state space, and the hierarchical routing method was first proposed on the basis of resource allocation in a clustered WiMAX mesh network, which allowed formulating the routing problem as a sequence of optimization tasks for internal and intercellular routing, which are solved separately and mutually coordinated.