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The authors develop a stochastic foundation for bandwidth estimation of networks with random service, where bandwidth availability is expressed in terms of bounding functions with a defined violation probability. Exploiting properties of a stochastic max-plus algebra and system theory, the task of bandwidth estimation is formulated as inferring an unknown bounding function from measurements of probing traffic. They derive an estimation methodology that is based on iterative constant rate probes. The solution provides evidence for the utility of packet trains for bandwidth estimation in the presence of variable cross traffic.
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