| Summary: | Traffic modeling is an integral part of teletraffic analysis for engineering telecommunication networks. In this dissertation, we develop a Hierarchical model for teletraffic. The model is motivated by the physical nature of the generation of the traffic. We present an analysis of the model from a signal theoretic point of view, explaining some of the recent observations of network traffic. We also provide a novel technique to model TCP traffic, one of the most important components of a layer of our hierarchy. We develop analysis techniques for our model. The predictions of our model match experiments done on the Internet well. We extend our TCP model to describe a complete system of networks of active queue management routers carrying TCP traffic. We develop a numerical scheme to obtain performance metrics of such networks. Our numerical scheme matches well with simulations and we are able to get an in-depth understanding of RED, one of the more popular active queue management schemes.
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