On a reduced load equivalence for fluid queues under subexponentiality

DOI10.1023/A:1019111809660zbMath0997.60114OpenAlexW1591361289MaRDI QIDQ1975024

Armand M. Makowski, Rajeev Agrawal, Philippe Nain

Publication date: 30 March 2000

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

Full work available at URL: https://doi.org/10.1023/a:1019111809660

zbMATH Keywords

subexponential distributionslong-range dependencefluid queuesextreme value theoryon/off sources

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22)

Related Items (15)

Exact asymptotics for fluid queues fed by multiple heavy-tailed on-off flows. ⋮ Asymptotic behavior of generalized processor sharing queues under subexponential assumptions ⋮ Heavy loads and heavy tails ⋮ Asymptotic loss probability in a finite buffer fluid queue with heterogeneous heavy-tailed on-off processes ⋮ Asymptotics of Hybrid Fluid Queues with Lévy Input ⋮ Reduced-load equivalence for Gaussian processes ⋮ Markov-renewal fluid queues ⋮ WHEN ARE ON–OFF SOURCES SIS?: CONDITIONS AND APPLICATIONS ⋮ Subexponential asymptotics of hybrid fluid and ruin models ⋮ A note on queues with M/G/\(\infty\) input ⋮ Tails for (max, plus) recursions under subexponentiality ⋮ Perturbation analysis of a variable M/M/1 queue: a probabilistic approach ⋮ A reduced-peak equivalence for queues with a mixture of light-tailed and heavy-tailed input flows ⋮ Reduced-load equivalence for queues with Gaussian input ⋮ Sojourn times in the \(M/ PH/1\) processor sharing queue

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