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Публікація A Tensor Model of Multipath Routing Based on Multiple QoS Metrics(International Siberian Conference on Control and Communications (SIBCON-2013), 2013) Лемешко, О. В.; Yevseyeva, O. Yu.; Garkusha, S.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.Публікація Reliability tensor model of telecommunication network with RED(Radioelectronics & Informatics, 2012) Лемешко, О. В.; Yevsyeyeva, O.; Garkusha, S.If the user is buying a telecommunications service, he expects from the provider of a certain quality of servicing. So the delivery of telecommunications traffic must be realized with the specified quality requirements. As a rule the requirements are related to traffic rate, average delay, packet jitter, and the reliability (delivery or loss probability). The main way to meet its is finding appropriate path or multipath along which these requirements are satisfied. The multipath case is related to traffic distribution task. In this article we proposed tensor model for telecommunication network with RED and formulated analytical condition for QoS-ensuring. Satisfaction reliability of the condition guarantees that rate and requirements are be achieved at the same time. The formulated condition has invariant form that doesn’t depend on AQM mechanism type.Публікація Results of Development of Model for Bandwidth Management in LTE Downlink with Resource Allocation Type 1(2015) Garkusha, S.; Al-Dulaimi A. M.; Al-Janabi H. D.The results of development of the mathematical model for time-frequency resource allocation in the downlink of the LTE technology using the Resource Allocation Type 1 are given. The proposed model is aimed at provision of the guaranteed quality of service for wireless network users by allocating the required downlink bandwidth to user equipment. The analysis of the proposed model for time-frequency resource allocation in the LTE technology from the viewpoint of providing the required bandwidths for user equipment in the downlink was conducted.