Asymptotic analysis of single resource loss systems in heavy traffic, with applications to integrated networks

DOI10.2307/1428107zbMath0823.60081OpenAlexW1968296177MaRDI QIDQ4698513

Stan Zachary, R. J. Gibbens, Nigel G. Bean

Publication date: 23 October 1995

Published in: Unnamed Author (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/ef333d65463a63e51d2d415061acaa2c7ed1d46e

zbMATH Keywords

asymptotic analysisequilibrium distributionasymptotic regimetraffic streams

Mathematics Subject Classification ID

Communication networks in operations research (90B18) Markov renewal processes, semi-Markov processes (60K15) Performance evaluation, queueing, and scheduling in the context of computer systems (68M20) Applications of Markov renewal processes (reliability, queueing networks, etc.) (60K20) Applications of queueing theory (congestion, allocation, storage, traffic, etc.) (60K30)

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A Theory of Auto-Scaling for Resource Reservation in Cloud Services ⋮ Dynamic and equilibrium behavior of controlled loss networks ⋮ Optimization via trunk reservation in single resource loss systems under heavy traffic ⋮ A degenerate central limit theorem for single resource loss systems ⋮ Asymptotically exact analysis of a loss network with channel continuity ⋮ Exponential penalty function control of loss networks ⋮ Analysis of loss networks with routing ⋮ Open problems in queueing theory inspired by datacenter computing ⋮ Optimal Admission Controls for Erlang's Loss System with Phase-Type Arrivals ⋮ Allocation schemes of resources with downgrading

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