Mean and Standard Deviation Profiles for a Single-Server FIFO Queuing Node Carrying Heterogeneous Poisson and Pareto Traffic during a Bandwidth Probing Event: Analysis vs. Computer Simulation

Analytical expressions were obtained for the mean and standard deviation virtual waiting time profiles of a single-server FIFO queuing buffer loaded with heterogeneous (non-uniform packet-size) Poisson traffic disturbed by the passage of a bandwidth probing packet. The predictions were compared with the results of a computer simulation, using both Poisson and batch-Pareto (ON/OFF) cross-traffic arrival mechanisms. The model accurately predicted the simulated behaviour under Poisson traffic, though it showed a slight but consistent tendency to under-predict the standard deviation. For the scenarios reported, the Pareto results also showed reasonably close agreement with the model, though without the tendency towards under-prediction.