Lemeshko A. Theoretical bases of management of network resources with use of tensor mathematical models of telecommunication systems

The Object is processes of control by network resources in multiservice telecommunication systems. The purpose is increase of productivity of multiservice networks by efficient control its network resources. The methods are theory of categories, combinatory topology, the theory of mass service, tensor analysis, methods of operations research. The results and novelty – for the first time are offered probably-time tensor models of delivery of single packages with their adaptive fragmentation and multi-path routing of information flows. Novelty of models consists in tensor presentation of telecommunication system both in Euclid, and in Riemann space not orthogonal or orthogonal networks that has allowed to formulate in an analytical kind of a condition of guaranteed quality of service simul-taneously on high-speed and probably-time parameters. Degree of introduction - results may be used in modern and perspective transport technologies of next generation networks as a basis of multipath routing protocols, means of guaranteed quality of service, distribution and reservation of network resources, mechanisms of priority service and an adaptive fragmentation packages in net nodes. Materials of the dissertation are used in OJSC “Ukrtelecom”, СJSC “Kyivstar GSM” and in educational process Kharkiv national university of radio electronics and the Kharkiv university of Air forces. Area of use in telecommunication systems and networks