CALCULATING THE SERVICE DELAY PROBABILITY IN A SINGLE-CHANNEL SYSTEM WITH SELF-SIMILAR TRAFFIC

Abstract

Calculation of the characteristics of quality of service in a single-channel system in the packet network is often reduced to the determination of the coefficient Hurst of self-similar traffic, after which using the known Norros formula calculated average number of packets in the system. 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 the system then calculated on the basis of their functional relationships with the previously calculated average amount of packets per system. However, this algorithm does not allow for the set value of the Hurst coefficient calculated two very important characteristics of quality of service, such as the service delay probability of packet and the average delay time of packets in the storage buffer. In this paper 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 delay probability in a single-channel system with a self-similar traffic in the model fBM/D/1/∞.