CALCULATION THE SERVICE WAITING PROBABILITY WITH SELF-SIMILAR NETWORK TRAFFIC

Calculation of the service quality characteristics in a single-channel system with queue for the packet network is often reduced to the determination of the Hurst exponent for self-similar traffic, after which using the known Norros formula calculated average number of packets in the system. However, this method does not allow for the set value of the Hurst exponent calculated yet very important characteristics of quality of service, such as the average delay time of packets in the storage buffer and the service waiting probability of packet. In this work we propose a method for approximating the distribution function of the states of the system and on its basis, a formula for calculating the service waiting probability in a single-channel system with a self-similar traffic.