Abstract
This short communication considers the workload process of a queue operating in slotted time, focusing on the (multivariate) distribution of the workloads at different points in time. In a many-sources framework exact asymptotics are determined, relying on large-deviations results for the sample means of multivariate random variables.

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Es-Saghouani, A., Mandjes, M. Exact multivariate workload asymptotics. Math Meth Oper Res 78, 405–415 (2013). https://doi.org/10.1007/s00186-013-0450-9
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DOI: https://doi.org/10.1007/s00186-013-0450-9