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

Flow model for multipath routing with guaranteed the quality of service (QoS) is proposed. The model is based on the updated version of flow conservation law, which is taking into account the possible packet loss caused by buffer overflow at the network routers. The accounting such losses is related to revise conditions associated with the quality of service. By using tensor approach analytical boundary conditions were obtained. The conditions allow ensuring different parameters of the quality of service (rate, average delay and packet loss probability) at the same time. In addition, proposed model provides minimal value of average end-to-end packet delay where delays along all paths are same. As a result jitter caused by the multipath routing (difference between delays along different paths) is minimized. The developed conditions for QoS ensuring have invariant form which do not depend on the used at the interface. Changing the traffic models and/or packet servicing algorithm is related to a modification of the metric only within the same form of conditions.
Lemeshko O.V., Yevseyeva O.Yu., Garkusha S.V. A Tensor Model of Multipath Routing Based on Multiple QoS Metrics // 2013 International Siberian Conference on Control and Communications (SIBCON). Proceedings. – Krasnoyarsk: Siberian Federal University. Russia, Krasnoyarsk, September 12−13, 2013. IEEE Catalog Number: CFP13794-CDR. - P. 1-4.

In the article the experimental study of a multi-service network is carried out. In the assumption of a Poisson entrance flow of demands likelihood characteristics of multiservice system are received by transfer of real time traffic and traffic of data. These characteristics allow forming indicators of service quality of various services. Dependence of average of the macro packages being in turn, on intensity of an arriving traffic of data is received at its aspiration to limiting value. At aspiration λg to limiting value the average of macro packages in turn sharply increases. At the same time serving system passes to an unstable, critical mode. Dependence of probability of the lost macro packages on the size of the buffer and on pulse nature of receipt of macro packages is investigated. Results show that pulse nature of receipt of macro packages leads to considerable growth of losses in comparison with the smoothed traffic. At the same time, buffer existence damp pulse character of traffic and leads to reduction of losses. Researches of transmission quality of multiservice flows with use of machine experiment and the ns-2 program are carried out. The given results allow knowing about cross impact of different services flows, and their difficult character speaks features of the used technologies. Obviously, the greatest influence renders increase of real time flows. Results of the carried-out machine experiment allow choosing correctly loading of routers and can be used at design and balancing of network.
Popovskaya Katerina Olegovna Analysis of data and real time traffic model // Проблеми телекомунікацій, Vol. 2012, Issue 3, 2012, pp. 58-63

Предложен подход к математическому моделированию многопутевой маршрутизации с поддержкой гарантированного качества обслуживания. Модель Галлагера была использована в качестве базовой и дополнена необходимыми ограничениями на качество обслуживания. Тензорная интерпретация модели позволила получить в аналитическом виде условия качества обслуживания одновременно по скоростным и временным показателям.
Лемешко А.В., Дробот О.А. Модель многопутевой QoS-маршрутизации в мультисервисной телекоммуникационной сети // Радиотехника: Всеукр. межвед. науч.-техн. сб. 2006. – Вып. 144. – С. 16-22.

Современным направлением развития сетей NGN является концепция IMS. Оценка качества обслуживания в данной сети является необходимой задачей, но ее решение усложняется наличием большого числа информационных потоков и их классов и сложными топологиями сетей. В данной работе представлен тензорный подход к решению задачи управления распределением информационных потоков в узлах сети, а также связанной с этим задачи поддержки заданного уровня качества обслуживании QoS в сети IMS.
Третья Международная конференция «Системный анализ и информационные технологии» САИТ – 2009: Труды конференции. М.: ИСА РАН, 2009. – С. 722-728.