Practical aspects of simulating systems having arrival processes with long-range dependence

Analysis of network traffic indicates that packet arrival processes have significant stochastic dependence. It has been suggested that this dependence is so strong as to be well-modeled by long-range dependent processes. The fact that no finite process can be said to be truly long-range dependent poses potentially serious obstacles to simulation modeling. We explore some of these obstacles and propose practical methods for obtaining useful results with simulations of manageable duration