Subexponential loss rates in a GI/GI/1 queue with applications
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Publication:1975027
DOI10.1023/A:1019167927407zbMath0954.60077MaRDI QIDQ1975027
Publication date: 30 March 2000
Published in: Queueing Systems (Search for Journal in Brave)
subexponential distributionsfinite buffer queuefluid flow queuelong-range dependencylong-tailed traffic modelsM/G/\(\infty\) processnetwork multiplexer
Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22)
Related Items (11)
Exact asymptotics for fluid queues fed by multiple heavy-tailed on-off flows. ⋮ Subexponential loss rate asymptotics for Lévy processes ⋮ Performance analysis with truncated heavy-tailed distributions ⋮ Asymptotic loss probability in a finite buffer fluid queue with heterogeneous heavy-tailed on-off processes ⋮ Tail asymptotics of the waiting time and the busy period for the \(\mathrm{M}/\mathrm{G}/1/K\) queues with subexponential service times ⋮ Local Time Asymptotics for Centered Lévy Processes with Two-Sided Reflection ⋮ Loss Rate Asymptotics in aGI/G/1 Queue with Finite Buffer ⋮ Tail asymptotics for the queue length in an M/G/1 retrial queue ⋮ Heavy-tailed random walks, buffered queues and hidden large deviations ⋮ Lévy Processes with Two-Sided Reflection ⋮ On the Dynamics of Semimartingales with Two Reflecting Barriers
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