A fluid model for a relay node in an ad hoc network: the case of heavy-tailed input

DOI10.1007/s00186-008-0272-3zbMath1190.93103OpenAlexW2153992551MaRDI QIDQ1040693

M. R. H. Mandjes, René Bekker

Publication date: 25 November 2009

Published in: Mathematical Methods of Operations Research (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00186-008-0272-3

zbMATH Keywords

queueingasymptoticsregular variationad hoc networks

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22) Optimal stochastic control (93E20)

Related Items (5)

On random coefficient INAR(1) processes ⋮ Stationary analysis for the fluid model driven by the \({\mathrm{M}/\mathrm{M}/c}\) working vacation queue ⋮ The Survey on Markov-Modulated Arrival Processes and Their Application to the Analysis of Active Queue Management Algorithms ⋮ Fluid queue driven by an \(M/M/1\) queue subject to Bernoulli-schedule-controlled vacation and vacation interruption ⋮ Asymptotic analysis of Lévy-driven tandem queues

Cites Work

• Waiting time asymptotics in the single server queue with service in random order
• AIMD algorithms and exponential functionals
• Sojourn time asymptotics in the \(M/G/1\) processor sharing queue
• A fluid system with coupled input and output, and its application to bottlenecks in ad hoc networks
• On the Integrodifferential Equation of Takacs. I
• On the tails of waiting-time distributions
• Tail asymptotics for processor-sharing queues
• Some results on regular variation for distributions in queueing and fluctuation theory

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