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Abstract

This chapter presents results on Lévy-driven tandem queues: the output of the ‘upstream queue’ serves as input for the ‘downstream queue’. For this model the joint steady-state workload of both queues is determined, and various special cases are dealt with in more explicit terms (such as the Brownian tandem queue). Also, attention is paid to the joint workload asymptotics, that is, the (bivariate) asymptotics corresponding to the event that both workloads grow large.

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Dębicki, K., Mandjes, M. (2015). Lévy-Driven Tandem Queues. In: Queues and Lévy Fluctuation Theory. Universitext. Springer, Cham. https://doi.org/10.1007/978-3-319-20693-6_12

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