Network queue and loss analysis using histogram-based traffic models

This paper proposes a new performance analysis for obtaining the queue length distribution in a finite size buffer system. This analysis uses a simple traffic model based on histograms that captures the arrival rate distribution on a network model. In order to reflect the second-order statistics (long-range dependence and self-similarity) of network traffic this basic model has been extended using the Hurst parameter.The buffer occupancy distribution is obtained using these traffic models and defining a new stochastic process that works directly with histograms. The loss probability and network delay distribution can be obtained using this distribution. The estimation of the expected traffic loss probability is a key issue in provisioning Quality of Service in telecommunications networks. This paper shows that the proposed buffer occupancy distribution and loss probability calculations techniques are very precise.