Network decomposition in the many-sources regime

DOI10.1239/aap/1093962240zbMath1064.60185OpenAlexW2059458336MaRDI QIDQ4662244

Ness B. Shroff, Do Young Eun

Publication date: 30 March 2005

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

Full work available at URL: https://doi.org/10.1239/aap/1093962240

zbMATH Keywords

aggregationqueueing networkmany-sources asymptotic

Mathematics Subject Classification ID

Communication networks in operations research (90B18) Queueing theory (aspects of probability theory) (60K25) Large deviations (60F10) Performance evaluation, queueing, and scheduling in the context of computer systems (68M20)

Related Items (2)

Non-equilibrium statistical physics of currents in queuing networks ⋮ Strong approximations for time-varying infinite-server queues with non-renewal arrival and service processes

Cites Work

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• Sample path large deviations for queues with many inputs
• Large deviations, the shape of the loss curve, and economies of scale in large multiplexers
• The output of a switch, or, effective bandwidths for networks
• Overflow behavior in queues with many long-tailed inputs
• Cell loss asymptotics for buffers fed with a large number of independent stationary sources
• Use of the supremum distribution of Gaussian Processes in queueing analysis with long-range Dependence and self-similarity
• Economies of scale in queues with sources having power-law large deviation scalings
• Buffer overflow asymptotics for a buffer handling many traffic sources
• Markov population processes
• Large deviations for Small buffers: An insensitivity result

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