Fluid queue driven by an \(M/M/1\) queue

DOI10.1007/BF01158963zbMath0811.60082OpenAlexW2032743025MaRDI QIDQ1331299

Jorma Virtamo, Ilkka Norros

Publication date: 2 May 1995

Published in: Queueing Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01158963

zbMATH Keywords

numerical examplescontinuous spectrumfluid queuemodulated rate processspectral decomposition technique

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22)

Related Items (18)

CLOUD STORAGE FACILITY AS A FLUID QUEUE CONTROLLED BY MARKOVIAN QUEUE ⋮ A fluid system with coupled input and output, and its application to bottlenecks in ad hoc networks ⋮ Analysis of an \(\mathrm{M}/\mathrm{M}/1\) driven fluid queue with multiple exponential vacations ⋮ Fluid queue driven by anM/M/1 disasters queue ⋮ Simple analysis of a fluid queue driven by an \(M/M/1\) queue ⋮ A Markovian storage model ⋮ Fluid queue driven by a multi-server queue with multiple vacations and vacation interruption ⋮ Fluid model driven by an \(M/G/1\) queue with multiple exponential vacations ⋮ Performance analysis of a fluid flow system modulated by a single server queue prone to catastrophic failures and repairs ⋮ Asymptotic analysis of a fluid model modulated by an M/M/1 queue ⋮ Block-Structured Fluid Queues Driven by QBD Processes ⋮ Fluid queue driven by an \(M/M/1\) queue subject to Bernoulli-schedule-controlled vacation and vacation interruption ⋮ Stationary analysis of a fluid queue driven by some countable state space Markov chain ⋮ Busy periods in fluid queues with multiple emptying input states ⋮ Fluid model driven by an \(\mathrm{M}/\mathrm{M}/1\) queue with multiple vacations and \(N\)-policy ⋮ Exact transient solution of anM/M/1 driven fluid queue ⋮ Fluid queue driven by a GI/GI/1 queue ⋮ Exact tail asymptotics for fluid models driven by an \textit{M/M/c} queue

Cites Work

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• Performance of an ATM multiplexer queue in the fluid approximation using the Beneš approach
• Analysis of separable Markov-modulated rate models for information-handling systems
• A Fluid Reservoir Regulated by a Birth-Death Process

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