Regular variation in a fixed-point problem for single- and multi-class branching processes and queues

DOI10.1017/apr.2018.69zbMath1443.60077arXiv1709.05140OpenAlexW2949699038MaRDI QIDQ5215052

Soren Asmussen, Sergeĭ Georgievich Foss

Publication date: 5 February 2020

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

Full work available at URL: https://arxiv.org/abs/1709.05140

zbMATH Keywords

busy periodGalton-Watson processrandom summultivariate regular variationrandom recursionintermediate regular variation

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Large deviations (60F10) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items (4)

Aggregation of network traffic and anisotropic scaling of random fields ⋮ On extremes of random clusters and marked renewal cluster processes ⋮ Maxima and sums of non-stationary random length sequences ⋮ Stability and busy periods in a multiclass queue with state-dependent arrival rates

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