Internet Traffic Modeling with Time Delay Systems and Bandwidth Provisioning

In order to provision bandwidth, in this paper we propose a discrete-time dynamical system model to capture the marginal distribution and autocorrelation of the input traffic simultaneously. For model identification, we use a periodicity transform to identify the most significant periods of the traffic and use an auto regressive time series to model it. Bandwidth provisioning is formulated as an optimal control problem of stochastic dynamical system with time-delay, and a linear matrix inequality (LMI)-based control design procedure is proposed. Several experimental results with actual Internet traces are also given to show the efficiency of the proposed approaches