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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, the authors 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.
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