Tightness of stationary distributions of a flexible-server system in the Halfin-Whitt asymptotic regime
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Publication:3466711
DOI10.1214/14-SSY139zbMath1331.60180arXiv1403.4896OpenAlexW1528879738MaRDI QIDQ3466711
Publication date: 25 January 2016
Full work available at URL: https://arxiv.org/abs/1403.4896
tightnessstationary distributionscommon Lyapunov functiondiffusion limitlimit interchangedrift-based fluid limitHalfin-Whitt asymptotic regimemany server models
Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22) Functional limit theorems; invariance principles (60F17)
Related Items (9)
Justifying diffusion approximations for multiclass queueing networks under a moment condition ⋮ A load balancing system in the many-server heavy-traffic asymptotics ⋮ The Prelimit Generator Comparison Approach of Stein’s Method ⋮ On the Approximation Error of Mean-Field Models ⋮ Steady-state analysis of load-balancing algorithms in the sub-Halfin–Whitt regime ⋮ Infinite horizon asymptotic average optimality for large-scale parallel server networks ⋮ Steady-State Analysis of the Join-the-Shortest-Queue Model in the Halfin–Whitt Regime ⋮ On Uniform Exponential Ergodicity of Markovian Multiclass Many-Server Queues in the Halfin–Whitt Regime ⋮ Uniform stability of some large-scale parallel server networks
Cites Work
- Unnamed Item
- Positive recurrence of piecewise Ornstein-Uhlenbeck processes and common quadratic Lyapunov functions
- Systems with large flexible server pools: instability of ``natural load balancing
- On converse Lyapunov theorems for fluid network models
- Multiclass multiserver queueing system in the Halfin-Whitt heavy traffic regime: asymptotics of the stationary distribution
- Steady-state GI/G/\(n\) queue in the Halfin-Whitt regime
- Validity of heavy-traffic steady-state approximations in many-server queues with abandonment
- Lyapunov functions for semimartingale reflecting Brownian motions
- Validity of heavy traffic steady-state approximations in generalized Jackson networks
- Stationary Distribution Convergence for Generalized Jackson Networks in Heavy Traffic
- Queue-and-Idleness-Ratio Controls in Many-Server Service Systems
- Steady-state analysis of a multiserver queue in the Halfin-Whitt regime
- Heavy-Traffic Limits for Queues with Many Exponential Servers
- Tightness of invariant distributions of a large-scale flexible service system under a priority discipline
- Validity of Heavy-Traffic Steady-State Approximations in Multiclass Queueing Networks: The Case of Queue-Ratio Disciplines
- Diffusion-Scale Tightness of Invariant Distributions of a Large-Scale Flexible Service System
- Lyapunov method for the stability of fluid networks
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