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Titlebook: Queues and Lévy Fluctuation Theory; Krzysztof Dębicki,Michel Mandjes Textbook 2015 Springer International Publishing Switzerland 2015 Lévy

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Applications in Communication Networks,tion over time (so-called horizontal aggregation) and over the number of network users (vertical aggregation). As a result, the performance of the network nodes can be evaluated by studying the corresponding Lévy-driven queues.
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Computational Aspects: Inversion Techniques,, jumps in one direction are approximated by a phase-type random variable, thus allowing (semi-)explicit evaluation of the Wiener–Hopf factors. The second approach numerically evaluates (by repeated inversion) the Wiener–Hopf factors.
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