A tensor data-flow model of multipath routing with guarantee of quality by several indices is presented. The novelty of the model consists in transfer to the updated version of the flow storage conditions taking into account packets possible losses caused by overflow of the buffer queue on the network routers. Due to the tensor formalization of the network model it was possible to receive in the analytical form the conditions of imparting quality to simultaneous service by multiple various indices, namely, the transmission rate, mean delay and packages loss probability. The results of the research have shown the advantages of the offered method; they have made themselves evident in the improvements in the end-to end multipath delay, increase in the transmission rate, packets jitter minimization resulted from realization of the routing multipath strategy, increase in the probability of meeting the QoS-requirements and decrease in service abandonments caused by nonfulfillment of the specified quality level.
Lemeshko A.V., Evseeva O.Yu., Garkusha S.V. Research on Tensor Model of Multipath Routing in Telecommunication Network with Support of Service Quality by Greate Number of Indices // Telecommunications and RadioEngineering, Vol.73, No 15. - P. 1339-1360.

In the paper a tensor model for telecommunication network from reliability point of view is given. A condition for ensuring required quality of service in networks with using Tail Drop and RED mechanisms is formulated.
Lemeshko O., Yevsyeyeva O., Garkusha S. QoS ensuring scheme for telecommunication networks with tail drop and RED mechanisms // XIIth International Conference THE EXPERIENCE OF DESIGNING AND APPLICATION OF CAD SYSTEMS IN MICROELECTRONICS, Polyana-Svalyava-(Zakarpattya), UKRAINE, 2013. – P. 214-216.

In this paper, an approach to the mathematical modeling of multipath QoS-based routing in multiservice networks is considered. The Gallager's model was assumed as a basis of offered model with introduction of additional restrictions on quality of service. Tensor interpretation of model has allowed to receive in an analytical kind of a condition of maintenance of quality of service simultaneously on high-speed and time parameters QoS.
Lemeshko О., Drobot O. A Mathematical Model of Multipath QoS-based Routing in Multiservice Networks // Modern Problems of Radio Engineering, Telecommunications and Computer Science / Proceedings of conference International TCSET’2006 / Lviv-Slavsko. 2006. PP. 72-74.