The waiting time distribution of a Pareto service self-similar queuing model for wireless network nodes

Research within the last decade on network measurement has been shown to exhibit self-similarity property in Ethernet, VBR video. Recent research find wireless network node has also self-similar nature. Appropriate service distribution of these sources may be heavy-tailed service distributions. A difficult with heavy-tailed service distribution queuing model is that they may not have closed-from, analytic Laplace transforms, such as Pareto distribution etc. This makes those methods using the Laplace transform challenging. This paper proposes a method for analyzing the waiting time distribution via hyperexponential distributions fitting technique combined with Laplace transform. The waiting time distribution with exponential interarrival and Pareto service distribution queuing model was derived and verified via simulations. Numerical results show the method has reliable accuracy.