Analysis of Queuing Behaviors with Self-similar Traffic in Wireless Channels

Many measurement studies showed that network traffic usually exhibits self-similar nature, meanwhile, wireless fading channels lead to the time-variant service rates of network nodes. Compared with classical queuing systems with Markov sources or constant service rates, the queuing system with self-similar input in a wireless fading channel is more complicated, and it is very difficult to obtain closed-form formulae for the queuing performances. In this paper, we study queuing behaviors with self-similar traffic input in wireless channels by establishing a queuing system model, and present a convenient and efficient algorithm to estimate the queue length distributions. Simulation results validate the accuracy of the proposed estimation algorithm. Finally, we analyze effective service rates of wireless channels based on the estimation algorithm, and draw some meaningful conclusions.