Z. Fan et P. Mars, ACCURATE APPROXIMATION OF CELL LOSS PROBABILITY FOR SELF-SIMILAR TRAFFIC IN ATM NETWORKS, Electronics Letters, 32(19), 1996, pp. 1749-1751
Recently, self-similar (or fractal) stochastic processes have been reg
arded as more accurate models of certain categories of traffic (e.g. L
AN traffic) which will be transported in ATM networks. The authors pro
pose a method for estimating the cell loss probability in an ATM multi
plexer fed by a self-similar arrival process. The packet arrivals are
generated by a fractional Brownian motion process and the service proc
ess is deterministic. The approach is based on theory for large deviat
ions, and simulation tests show that it is more accurate than the exis
ting approximation result.