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Title: The nodal tensor model for QoS estimation of communications networks
Authors: Ponomarev, D.
Keywords: tensor
Issue Date: 2013
Publisher: ХНУРЭ
Citation: Ponomarev D.Yu. The nodal tensor model for QoS estimation of communications networks [Электронный ресурс] / D.Yu. Ponomarev // Проблеми телекомунікацій. – 2013. – № 2 (11). – С. 27-32. – Режим доступа к журн.:
Abstract: 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 this model, 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: mesh or nodal. 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. The main result of this work is the model of analysis of traffic distribution to estimation QoS characteristics of communication networks. The nodal model lets analyze of network delay as a function of a vector of the node distribution probabilities. Thus, the tensor model provide given QoS level with changing of vector probabilities. The delay in IMS is considered as an example of applying of tensor model to analysis of communication networks.
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