Flow-based model for traffic management in communication network were proposed, which provides a consistent solution of the following network tasks: multipath routing; traffic policing; and dynamic allocation of network throughput among the users flows. Obtained solutions provide the required values of the key indicators of Quality of Service such as packet rate, average delay and packet loss probability.
Lemeshko O.V., Garkusha S.V., Yeremenko O.S., Hailan A.M. Policy-based QoS management model for multiservice networks // International Siberian Conference on Control and Communications (SIBCON), 21-23 May 2015, Omsk, Russia. Publisher: IEEE. – PP. 1-4.

The main characteristics of QoS are estimated usually by methods of queuing theory. However, in the application to nets queuing theory considers processes for each of the systems (switches, routers, servers etc.) without taking into account the network topology. On the other hand, graph theory uses the topology for network analysis but cannot consider arrival and service processes in network systems. Tensor analysis of networks allows to provide an estimate of QoS characteristics with taking into account both the arrival and service processes and the network topology. This work presents the nodal tensor model as a tool for QoS analysis in the communications networks. In these models, the main systems of the communications network represented as single-line queuing systems (but and other types of queuing systems can be used). Models formed in accordance to the types of networks. The proposed models allow estimating the QoS characteristics for the individual routes and the entire network. Moreover, these models can be used to optimize the communications networks.
Ponomarev Dmitriy Yurievich The nodal tensor model for QoS estimation of communications networks // Проблеми телекомунікацій, Vol. 2013, Issue 2, 2013, pp. 27-32

A Design of flow-based model for MPLS Fast ReRoute is proposed in the paper. The model allows calculating two types of paths, i.e. primary and backup ones, for the same flow. Depending on the parameters of the model, different schemes of reservation such as link protection, node protection, or path protection, can be implemented. In the course of solving the problem of MPLS Fast Reroute the classical metric of primary and backup paths is minimized. The nonlinear restrictions, which are responsible for prevention of node, link or path intersection of primary and backup routes, are introduced in the structure of the model.
Lemeshko, O.V. ; Kozlova, H.V. ; Romanyuk, A.A. Flow-based model of fault-tolerant routing in MPLS-network // Microwave and Telecommunication Technology (CriMiCo), 2013 23rd International Crimean Conference. - PP. 509 - 510.

A dynamic model of the structural and functional optimization telecommunications transport network at the state space is proposed. The model describes the process of coordinated tasks by the choice of topology (CT) and channel bandwidth (CCB), flow distribution (FD) and limit traffic (LT) entering the transport network. The model features the capability of solving the problem of distribution of investment between the stages of optimization in concert with the objectives of CT, CCB, FD and LT, which is an advantage of the proposed solution. The use of the criterion of optimal solution considering the total cost of the structural and functional optimization of transport telecommunication network is justified.
Lemeshko, O.V., Sterin, V.L. Structural and functional optimization of transport telecommunication network // Microwave and Telecommunication Technology (CriMiCo), 2013 23rd International Crimean Conference. - PP. 490 - 491.

In the paper the mathematical model of multipath routing with load balancing in the MPLS network is proposed. This model describes the processes of routing and distribution links resource. This model takes into account the characters of links (duplex, half-duplex or simplex links) and prevents the effect of packets looping. And criterion of load balancing in proposed model is quality service parameters.
Lemeshko O., Vavenko T., Ovchinnikov K. Design of multipath routing scheme with load balancing in MPLS-network // XIIth International Conference THE EXPERIENCE OF DESIGNING AND APPLICATION OF CAD SYSTEMS IN MICROELECTRONICS, Polyana-Svalyava-(Zakarpattya), UKRAINE 19-23 February 2013. – P. 211-213.

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.

The paper presents the dynamic adaptive queue balancing method that was designed for solving queues balancing problem on the telecommunication network routers. Within the method the adaptive use of flow-based models with varying degrees of accounting parameters was proposed. By using dynamic adaptive method the research of the queue balancing process was performed.
Lemeshko O., Semenyaka M., Simonenko O. Researching and designing of the Dynamic adaptive queue balancing method on telecommunication network routers // XIIth International Conference THE EXPERIENCE OF DESIGNING AND APPLICATION OF CAD SYSTEMS IN MICROELECTRONICS, Polyana-Svalyava-(Zakarpattya), UKRAINE 19-23 February 2013: Publishing House of Lviv Polytechnic, 2013. – P. 204-207.

The paper proposed a dynamic model of the structural-functional synthesis of transport telecommunication network (TCN). The model provides a consistent solution for problems of the choice of topology and channels bandwidth in TCN, flow distribution, and determine the order of connection fees to the nodes of the TCN. Development of model allowed to formulate the task of structurally-functional synthesis of TCS in the form of the mathematical task of optimum control.
Lemeshko O., Sterin V. Design and structural-functional optimization transport telecommunication network // XIIth International Conference THE EXPERIENCE OF DESIGNING AND APPLICATION OF CAD SYSTEMS IN MICROELECTRONICS, Polyana-Svalyava-(Zakarpattya), UKRAINE 19-23 February 2013: Publishing House of Lviv Polytechnic, 2013. – P. 208-210.

In the paper the mathematical model of traffic management in the MPLS-TE DiffServ network is proposed. This model describes the processes of routing and distribution channel resource. In article the method of two-level traffic management in the MPLS-TE DiffServ network is offered to improve the scalability of the solutions on the basis of interactions prediction.
Lemeshko O.V., Ahmad M. Hailan, Starkova O.V. Multi-level traffic management in the MPLS-TE DiffServ network // 11-th International Conference THE EXPERIENCE OF DESIGNING AND APPLICATION OF CAD SYSTEMS IN MICROELECTRONICS Polyana-Svalyava-(Zakarpattya), UKRAINE 23 - 25 February 2011: Publishing House of Lviv Polytechnic, 2011. – P. 118-120.