Two-server closed networks in heavy traffic: diffusion limits and asymptotic optimality.
type: Item
instance of: scholarly article
title: Two-server closed networks in heavy traffic: diffusion limits and asymptotic optimality.
zbMATH Open document ID: 1073.60538
author: Sunil Kumar
published in: The Annals of Applied Probability
publication date: 2003-05-06T00:00:00Z
Mathematics Subject Classification ID: 60K25
Mathematics Subject Classification ID: 60F17
Mathematics Subject Classification ID: 90B06
zbMATH DE Number: 1906185
zbMATH Keywords: Queueing networks
zbMATH Keywords: functional limit theorems
zbMATH Keywords: fluid limits
zbMATH Keywords: scheduling policies
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1214/aoap/1019487514
OpenAlex ID: W2029256081
cites work: Q4326384
cites work: Q5560061
cites work: State space collapse with application to heavy traffic limits for multiclass queueing networks
cites work: A heavy traffic limit theorem for a class of open queueing networks with finite buffers
cites work: Q4866375
cites work: On positive Harris recurrence of multiclass queueing networks: A unified approach via fluid limit models
cites work: Stability and Instability of Fluid Models for Reentrant Lines
cites work: Q3721531
cites work: Q3808989
cites work: Q3806523
cites work: Dynamic control of Brownian networks: State space collapse and equivalent workload formulations
cites work: Scheduling networks of queues: Heavy traffic analysis of a simple open network
cites work: Scheduling Networks of Queues: Heavy Traffic Analysis of a Two-Station Closed Network
cites work: Multiple channel queues in heavy traffic. I
cites work: The Throughput of Irreducible Closed Markovian Queueing Networks: Functional Bounds, Asymptotic Loss, Efficiency, and the Harrison-Wein Conjectures
cites work: Performance bounds for queueing networks and scheduling policies
cites work: Q4895167
cites work: Q4863617
cites work: Heavy Traffic Convergence of a Controlled, Multiclass Queueing System
cites work: Diffusion approximations for open multiclass queueing networks: Sufficient conditions involving state space collapse
cites work: An invariance principle for semimartingale reflecting Brownian motions in an orthant
DOI: 10.1214/AOAP/1019487514
description: scientific article; zbMATH DE number 1906185