Mathematical analysis of buffer sizing for Network-on-Chips under multimedia traffic

Designing appropriate buffer sizes for routers within Network-on-Chip (NoC) so as to minimize the power while preserving the required performance in the presence of self-similar traffic has been considered a challenging problem in the literature. A few analytical studies carried out in NoC modeling have been adopted assumptions such as exponentially-distributed packet inter-arrivals, and conclusions reached under such assumptions may be inappropriate in the presence of self-similar traffic. Through mathematical analysis this paper predicts the optimal buffer size under self-similar traffic using Discrete Poisson Pareto Burst Process (DPPBP). The validity of the mathematical expressions is demonstrated through simulation experiments.