Tails in generalized Jackson networks with subexponential service-time distributions

DOI10.1239/jap/1118777185zbMath1077.60067OpenAlexW2011963179MaRDI QIDQ5697598

Marc Lelarge, François Baccelli, Sergeĭ Georgievich Foss

Publication date: 18 October 2005

Published in: Journal of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1239/jap/1118777185

zbMATH Keywords

heavy tail

Mathematics Subject Classification ID

Asymptotic properties of nonparametric inference (62G20) Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22)

Related Items (11)

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 ⋮ Fluid limit of generalized Jackson queueing networks with stationary and ergodic arrivals and service times ⋮ On the subexponentiality of the ridgelet transform ⋮ A General Class of Closed Fork and Join Queues with Subexponential Service Times ⋮ Tail Asymptotics for Monotone-Separable Networks ⋮ Tails for (max, plus) recursions under subexponentiality ⋮ 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 ⋮ Large deviations for stochastic fluid networks with Weibullian tails

Cites Work

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• Ergodicity of Jackson-type queueing networks
• Moments and tails in monotone-separable stochastic networks.
• Subexponentiality and infinite divisibility
• On the saturation rule for the stability of queues
• Fluid limit of generalized Jackson queueing networks with stationary and ergodic arrivals and service times

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