First step for the calculation of service quality characteristics in a single-channel packet communication system is to estimate the Hurst exponent for self-similar traffic, after which, according to the well-known Norros formula, the average number of packets in the system N is calculated. However, such an algorithm does not allow calculating two very important service quality characteristics, such as the average waiting time of packets in the cumulative buffer (not in the system as a whole) and the waiting probability of the service start of the packet. In the paper the new method for approximating the probability distribution function of the system states is proposed, where a simple exponential function with the distribution parameter was used for the approximating function. From this approximating function the new formula for calculating the waiting probability for the service start of the packet in a one-channel system with self-similar traffic is obtained. This method of calculation is based on the phenomenon that packets in self-similar traffic are not smoothly distributed over different time intervals. They are grouped into "blocks" within certain time intervals, but there are hardly any of them within the others. Therefore, for such traffic, in the distribution function of the number of packets in a single-channel system, the probability of a complete absence of packets in it increases. The results obtained in the paper will be useful for the further development of monitoring subsystems of power comlexes.
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