Tail asymptotics for the delay in a Brownian fork-join queue

DOI10.1016/j.spa.2023.06.013zbMath1524.60242arXiv2208.04796OpenAlexW4382934376MaRDI QIDQ6072902

Bert Zwart, Dennis Schol, Maria Vlasiou

Publication date: 15 September 2023

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2208.04796

zbMATH Keywords

extreme-value theorytail asymptoticsfork-join queuesBrownian queues

Mathematics Subject Classification ID

Extreme value theory; extremal stochastic processes (60G70) Queueing theory (aspects of probability theory) (60K25) Brownian motion (60J65)

Related Items (1)

On the maxima of suprema of dependent Gaussian models

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Extremes of vector-valued Gaussian processes: exact asymptotics
• Processing networks with parallel and sequential tasks: Heavy traffic analysis and Brownian limits
• The trouble with diversity: Fork-join networks with heterogeneous customer population
• Exact asymptotics of component-wise extrema of two-dimensional Brownian motion
• Heavy-traffic limits for an infinite-server fork-join queueing system with dependent and disruptive services
• Gaussian Limits for a Fork-Join Network with Nonexchangeable Synchronization in Heavy Traffic
• First-passage times of two-dimensional Brownian motion
• Two Parallel Queues Created by Arrivals with Two Demands I
• Large Deviations for Gaussian Queues
• Two parallel processors with coupled inputs
• Response times in M/M/s fork-join networks
• Large Fork-Join Queues with Nearly Deterministic Arrival and Service Times

This page was built for publication: Tail asymptotics for the delay in a Brownian fork-join queue