Moments and tails in monotone-separable stochastic networks.
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Publication:1879883
DOI10.1214/105051604000000044zbMath1048.60067arXivmath/0405281OpenAlexW3106011085MaRDI QIDQ1879883
Sergeĭ Georgievich Foss, François Baccelli
Publication date: 15 September 2004
Published in: The Annals of Applied Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0405281
Stochastic network models in operations research (90B15) Queueing theory (aspects of probability theory) (60K25) Large deviations (60F10)
Related Items (27)
Moments and tails in monotone-separable stochastic networks. ⋮ Asymptotic behavior of generalized processor sharing queues under subexponential assumptions ⋮ Discrete and continuous time modulated random walks with heavy-tailed increments ⋮ Tandem queues with subexponential service times and finite buffers ⋮ Tandem queueing networks with neighbor blocking and back-offs ⋮ Sink or swim together: Necessary and sufficient conditions for finite moments of workload components in FIFO multiserver queues ⋮ Tails in generalized Jackson networks with subexponential service-time distributions ⋮ On the subexponentiality of the ridgelet transform ⋮ A General Class of Closed Fork and Join Queues with Subexponential Service Times ⋮ Exact tail asymptotics of a queue with LRD input traffic ⋮ Exact tail asymptotics of a tandem queue with LRD service times ⋮ On the exact asymptotics for the stationary sojourn time distribution in a tandem of queues with light-tailed service times ⋮ Customer sojourn time in \(GI/GI/1\) feedback queue in the presence of heavy tails ⋮ On Exceedance Times for Some Processes with Dependent Increments ⋮ On the transition from heavy traffic to heavy tails for the \(M/G/1\) queue: the regularly varying case ⋮ Packet reordering in networks with heavy-tailed delays ⋮ Cyclic queueing networks with subexponential service times ⋮ Heavy tails in multi-server queue ⋮ Convergence rates in monotone separable stochastic networks ⋮ Validity of heavy traffic steady-state approximations in generalized Jackson networks ⋮ Tail Asymptotics for Monotone-Separable Networks ⋮ Tails for (max, plus) recursions under subexponentiality ⋮ Asymptotic analysis of Lévy-driven tandem queues ⋮ Delay Analysis of the Max-Weight Policy Under Heavy-Tailed Traffic via Fluid Approximations ⋮ Two-node fluid network with a heavy-tailed random input: the strong stability case ⋮ The probability of exceeding a high boundary on a random time interval for a heavy-tailed random walk ⋮ Large deviations for stochastic fluid networks with Weibullian tails
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