The trouble with diversity: Fork-join networks with heterogeneous customer population

DOI10.1214/aoap/1177005198zbMath0797.60078OpenAlexW1985028827MaRDI QIDQ1327602

Vien Nguyen

Publication date: 10 October 1994

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

Full work available at URL: https://doi.org/10.1214/aoap/1177005198

zbMATH Keywords

diffusion approximationsreflected Brownian motionheavy traffic limitfork-join networksnetwork of single- server stationspolyhedral state space

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Production models (90B30) Brownian motion (60J65) Functional limit theorems; invariance principles (60F17)

Related Items (8)

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 ⋮ Gaussian Limits for a Fork-Join Network with Nonexchangeable Synchronization in Heavy Traffic ⋮ Unnamed Item ⋮ On the Control of Fork-Join Networks ⋮ Robust scheduling for flexible processing networks

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