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Tail asymptotics for HOL priority queues handling a large number of independent stationary sources

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Publication:1598894
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DOI10.1023/A:1014323618507zbMath1001.90019OpenAlexW1522442515MaRDI QIDQ1598894

Catherine P. Rosenberg, Ravi R. Mazumdar, Sylvain Delas

Publication date: 28 May 2002

Published in: Queueing Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1014323618507


zbMATH Keywords

large deviationsstationary processestail distributionspriority queuescell lossBahadur-Rao theorem


Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22) Large deviations (60F10) Applications of queueing theory (congestion, allocation, storage, traffic, etc.) (60K30)


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Geometric tail of queue length of low-priority customers in a nonpreemptive priority MAP/PH/1 queue ⋮ Exact tail asymptotics in a priority queue -- characterizations of the preemptive model ⋮ Tail Probability of Low-Priority Queue Length in a Discrete-Time Priority BMAP/PH/1 Queue



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