On Uniform Exponential Ergodicity of Markovian Multiclass Many-Server Queues in the Halfin–Whitt Regime
DOI10.1287/moor.2020.1087zbMath1468.90039arXiv1812.03528OpenAlexW3127315825WikidataQ115516199 ScholiaQ115516199MaRDI QIDQ5000654
Guodong Pang, Hassan Hmedi, Aristotle Arapostathis
Publication date: 15 July 2021
Published in: Mathematics of Operations Research (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1812.03528
Halfin-Whitt (QED) regimediffusion scalinguniform exponential ergodicitymulticlass many-server queues
Stochastic network models in operations research (90B15) Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22) Stochastic scheduling theory in operations research (90B36)
Related Items (5)
Cites Work
- Ergodic diffusion control of multiclass multi-pool networks in the Halfin-Whitt regime
- Positive recurrence of piecewise Ornstein-Uhlenbeck processes and common quadratic Lyapunov functions
- Systems with large flexible server pools: instability of ``natural load balancing
- 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
- Stein's method for steady-state diffusion approximations of \(\mathrm{M}/\mathrm{Ph}/n+\mathrm{M}\) systems
- Ergodic control of multi-class \(\mathrm{M}/\mathrm{M}/N+\mathrm{M}\) queues in the Halfin-Whitt regime
- Martingale proofs of many-server heavy-traffic limits for Markovian queues
- Computable bounds for geometric convergence rates of Markov chains
- On the use of Lyapunov methods in renewal theory
- Justifying diffusion approximations for multiclass queueing networks under a moment condition
- Ergodicity of an SPDE associated with a many-server queue
- Ergodicity of a Lévy-driven SDE arising from multiclass many-server queues
- Infinite horizon asymptotic average optimality for large-scale parallel server networks
- Harnack inequalities for solutions of general second order parabolic equations and estimates of their Hölder constants
- Scheduling a multi class queue with many exponential servers: asymptotic optimality in heavy traffic.
- Existence of strong solutions for Itô's stochastic equations via approximations
- Validity of heavy traffic steady-state approximations in generalized Jackson networks
- Diffusion Limit of Fair Resource Control—Stationarity and Interchange of Limits
- Stein's method for steady-state diffusion approximations: an introduction through the Erlang-A and Erlang-C models
- Ergodic Control of Diffusion Processes
- Stability of Markovian processes III: Foster–Lyapunov criteria for continuous-time processes
- Stationary Distribution Convergence for Generalized Jackson Networks in Heavy Traffic
- The Limit of Stationary Distributions of Many-Server Queues in the Halfin–Whitt Regime
- Tightness of stationary distributions of a flexible-server system in the Halfin-Whitt asymptotic regime
- Steady-state analysis of a multiserver queue in the Halfin-Whitt regime
- Dynamic Scheduling of a Multiclass Queue in the Halfin-Whitt Heavy Traffic Regime
- Heavy-Traffic Limits for Queues with Many Exponential Servers
- Understanding the Efficiency of Multi-Server Service Systems
- Tightness of invariant distributions of a large-scale flexible service system under a priority discipline
- Many-server queues with customer abandonment: numerical analysis of their diffusion models
- Validity of Heavy-Traffic Steady-State Approximations in Multiclass Queueing Networks: The Case of Queue-Ratio Disciplines
- Infinite-Horizon Average Optimality of the N-Network in the Halfin–Whitt Regime
- Diffusion-Scale Tightness of Invariant Distributions of a Large-Scale Flexible Service System
- Convergence of the Relative Value Iteration for the Ergodic Control Problem of Nondegenerate Diffusions under Near-Monotone Costs
- Heavy traffic approximation for the stationary distribution of a generalized Jackson network: the BAR approach
- State-space collapse in stationarity and its application to a multiclass single-server queue in heavy traffic
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