In this paper we study the supremum distribution of a general class of Gaussian processes {Xt : t ≥ 0} with stationary increments. This distribution is directly related to the steady state queue length distribution o...
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Traffic analysis of networks has shown that the aggregation of many traffic sources will produce traffic streams that are self-similar over several scales. For this reason, queuing performance study of IP networks wit...
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Traffic analysis of networks has shown that the aggregation of many traffic sources will produce traffic streams that are self-similar over several scales. For this reason, queuing performance study of IP networks with self-similar input traffic is a hot topic. In this paper, the input traffic is approximated by an ON/OFF aggregation model with Pareto distribution, which is an asymptotically second-order self-similar process. Compared with the typical IP traffic models currently considered in literature, the buffer overflow probability decreases non-exponentially with buffer size, but falls slowly. As a result, increasing capacity of buffer can' t effectively reduce the packet loss probability.
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