Processing networks with parallel and sequential tasks: Heavy traffic analysis and Brownian limits

DOI10.1214/aoap/1177005506zbMath0771.60082OpenAlexW1991290989MaRDI QIDQ1210481

Vien Nguyen

Publication date: 4 October 1993

Published in: The Annals of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aoap/1177005506

zbMATH Keywords

performance analysisqueueing theorysojourn time analysismultidimensional reflected Brownian motionsteady-state throughput time

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Brownian motion (60J65) Applications of Markov renewal processes (reliability, queueing networks, etc.) (60K20)

Related Items (10)

On positive recurrence of constrained diffusion processes ⋮ Heavy-traffic limits for an infinite-server fork-join queueing system with dependent and disruptive services ⋮ Control of Fork-Join Processing Networks with Multiple Job Types and Parallel Shared Resources ⋮ Large Fork-Join Queues with Nearly Deterministic Arrival and Service Times ⋮ Tail asymptotics for the delay in a Brownian fork-join queue ⋮ Response times in M/M/s fork-join networks ⋮ Gaussian Limits for a Fork-Join Network with Nonexchangeable Synchronization in Heavy Traffic ⋮ On the Control of Fork-Join Networks ⋮ Robust scheduling for flexible processing networks ⋮ A fork-join queueing model: Diffusion approximation, integral representations and asymptotics

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