ESTIMATING THE SERVICE WAITING PROBABILITY IN A SINGLE-CHANNEL SYSTEM WITH SELF-SIMILAR TRAFFIC

Abstract

Estimation 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 to have calculated the 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.