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When creating packet networks of a new generation, the problem of calculating the throughput of broadband multiservice access networks arises. In practice, for this they use mathematical modeling, or without proper justification, the traditional formulas of the theory of information distribution. The well-known analytical solution for ATM technology is extremely cumbersome and practically not used. Today, there is not generally accepted analytical or engineering method for solving the problem. At the same time, telecommunication networks must develop to provide all the necessary conditions for the practical application of the concept of the Internet of Things (IoT). One of these conditions is the maintenance of multiservice traffic with specified quality of service indicators. The paper developed a method for calculating the bandwidth or the number of conditional channels of a packet access network for IoT devices. In this case, the calculation of the bandwidth of the access network of IoT devices is performed at the level of calls and packets separately. At the level of calls from IoT devices, the Engset model is used for traffic due to the small number of groups of the devices themselves, and at the packet level, the model of self-similar flow is applied. Calculation of quality of service characteristics in a packet communication network is reduced to determining the Hurst coefficient of self-similarity of traffic, after which the average number of packets in the system is calculated using the well-known Norros formula. Other characteristics, such as the average number of packets in the queue, the average residence time of packets in the system and the average delay time of packets in a single-channel system, are calculated based on their functional relationship with the previously calculated average number of packets in the system. Based on the approximation of the distribution function of the system states, the probability of waiting for packet servicing and the average delay time of packets in the packet switch queue are calculated.

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Background. Despite the popularity of the model of self-similar traffic, until now a number of tasks of assessing the quality of service in the packet communication network remains unresolved. Because of the lack of a rigorous theoretical base that can complement the classical queuing theory when designing a packet-based communication network with self-similar traffic, there is no reliable and recognized methodology for calculating parameters and quality indicators for information distribution systems under conditions of the self-similarity effect.Objective. The aim of the paper is the improvement of the accuracy of calculating the quality of service characteristics by obtaining a new formula for calculating the traffic self-similarity coefficient, depending on the parameter of the form of the Weibull or Pareto distributions. Self-similar traffic or the time interval between stream packets is described by these distributions.Methods. To calculate the QoS characteristics, you only need to know the parameter a of the Weibull or Pareto distribution form and there is no need to calculate in a rather complicated way, for example, the R/S-method, the self-similarity coefficient of Hurst for traffic.Results. A significant difference between the real and the linear dependence of the self-similarity coefficient H on the parameter a of the Weibull distribution form or on the parameter a of the Pareto distribution form is detected.Conclusions. The use of real functional dependences of H on a allows enhancing the accuracy of calculating the quality of service characteristics.