Tightness of invariant distributions of a large-scale flexible service system under a priority discipline

DOI10.1214/12-SSY063zbMath1296.60252arXiv1201.2978MaRDI QIDQ5168858

Alexander L. Stolyar, Elena Yudovina

Publication date: 21 July 2014

Full work available at URL: https://arxiv.org/abs/1201.2978

zbMATH Keywords

fluid limitsmany server modelstightness of invariant distributions

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Functional limit theorems; invariance principles (60F17)

Related Items

A service system with on-demand agent invitations ⋮ Justifying diffusion approximations for multiclass queueing networks under a moment condition ⋮ Information and Memory in Dynamic Resource Allocation ⋮ Infinite horizon asymptotic average optimality for large-scale parallel server networks ⋮ Tightness of stationary distributions of a flexible-server system in the Halfin-Whitt asymptotic regime ⋮ Infinite-Horizon Average Optimality of the N-Network in the Halfin–Whitt Regime ⋮ Robust scheduling for flexible processing networks ⋮ Diffusion-Scale Tightness of Invariant Distributions of a Large-Scale Flexible Service System ⋮ 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
• Systems with large flexible server pools: instability of ``natural load balancing
• A blind policy for equalizing cumulative idleness
• Control of systems with flexible multi-server pools: a shadow routing approach
• Shadow-Routing Based Control of Flexible Multiserver Pools in Overload
• Queue-and-Idleness-Ratio Controls in Many-Server Service Systems
• Blind Fair Routing in Large-Scale Service Systems with Heterogeneous Customers and Servers
• Scheduling Flexible Servers with Convex Delay Costs: Heavy-Traffic Optimality of the Generalized cμ-Rule