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Journal Articles International Journal of Applied Mathematical Sciences Year : 2014

Exact Tail Asymptotics of a Queue with LRD Input Traffic

Abstract

In this work we compute the exact tail asymptotics of the stationary workload W, associated to a discretetime single server queue, with constant release rate, infinite buffer capacity, and with M/G/∞ input traffic exhibiting long-range dependence. We choose a regularly varying distribution with parameter α > 1 for the general distribution G. We show that the exact asymptotics of the workload is a specific regularly varying function under some assumptions on the parameters.

Dates and versions

hal-01090582 , version 1 (03-12-2014)

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Cite

M. Lelarge, A. Villani. Exact Tail Asymptotics of a Queue with LRD Input Traffic. International Journal of Applied Mathematical Sciences, 2014, 196 (1), pp.12. ⟨10.1007/s10958-013-1636-7⟩. ⟨hal-01090582⟩
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