Diffusion Limit of Fair Resource Control—Stationarity and Interchange of Limits
From MaRDI portal
Publication:2833099
DOI10.1287/moor.2015.0773zbMath1352.60125OpenAlexW3125760768MaRDI QIDQ2833099
Publication date: 16 November 2016
Published in: Mathematics of Operations Research (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1287/moor.2015.0773
uniform stabilitystationary distributiondiffusion limitproportional fair allocationstochastic processing network
Stochastic network models in operations research (90B15) Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22) Applications of Markov chains and discrete-time Markov processes on general state spaces (social mobility, learning theory, industrial processes, etc.) (60J20) Diffusion processes (60J60) Functional limit theorems; invariance principles (60F17)
Related Items
Justifying diffusion approximations for multiclass queueing networks under a moment condition ⋮ Diffusion Approximation for Fair Resource Control—Interchange of Limits Under a Moment Condition ⋮ Stationary distribution convergence of the offered waiting processes for \(GI/GI/1+GI\) queues in heavy traffic ⋮ Stationary distribution convergence of the offered waiting processes in heavy traffic under general patience time scaling ⋮ On Uniform Exponential Ergodicity of Markovian Multiclass Many-Server Queues in the Halfin–Whitt Regime ⋮ Uniform stability of some large-scale parallel server networks ⋮ Heavy-Traffic Insensitive Bounds for Weighted Proportionally Fair Bandwidth Sharing Policies
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Asymptotically tight steady-state queue length bounds implied by drift conditions
- On the rate of convergence to stationarity of the M/M/\(n\) queue in the Halfin-Whitt regime
- Multiclass multiserver queueing system in the Halfin-Whitt heavy traffic regime: asymptotics of the stationary distribution
- Validity of heavy-traffic steady-state approximations in many-server queues with abandonment
- Asymptotic stationarity of queues in series and the heavy traffic approximation
- State space collapse and diffusion approximation for a network operating under a fair bandwidth sharing policy
- Fluid limits for networks with bandwidth sharing and general document size distributions
- Stability of two families of queueing networks and a discussion of fluid limits
- Loss networks
- An invariance principle for semimartingale reflecting Brownian motions in an orthant
- Diffusion approximations for open multiclass queueing networks: Sufficient conditions involving state space collapse
- State space collapse with application to heavy traffic limits for multiclass queueing networks
- Diffusion approximations for Kumar-Seidman network under a priority service discipline
- Fluid limits and diffusion approximations for networks of multi-server queues in heavy traffic
- Lyapunov functions for semimartingale reflecting Brownian motions
- A broader view of Brownian networks
- MaxWeight scheduling in a generalized switch: State space collapse and workload minimization in heavy traffic
- A sufficient condition and a necessary condition for the diffusion approximations of multiclass queueing networks under priority service disciplines
- Fluid and heavy traffic diffusion limits for a generalized processor sharing model
- Fluid model for a network operating under a fair bandwidth-sharing policy.
- On positive Harris recurrence of multiclass queueing networks: A unified approach via fluid limit models
- Asymptotic optimality of maximum pressure policies in stochastic processing networks
- Qualitative properties of \(\alpha\)-fair policies in bandwidth-sharing networks
- Validity of heavy traffic steady-state approximations in generalized Jackson networks
- Heavy traffic on a controlled motorway
- Rate control for communication networks: shadow prices, proportional fairness and stability
- Stationary Distribution Convergence for Generalized Jackson Networks in Heavy Traffic
- Dynamic instabilities and stabilization methods in distributed real-time scheduling of manufacturing systems
- Heavy-Traffic Optimality of a Stochastic Network Under Utility-Maximizing Resource Allocation
- Fluid Model for a Data Network with α -Fair Bandwidth Sharing and General Document Size Distributions: Two Examples of Stability
- Regenerative closed queueing networks
- The diffusion approximation for tandem queues in heavy traffic
- The Stability of Two-Station Multitype Fluid Networks
- A Stochastic Network Under Proportional Fair Resource Control—Diffusion Limit with Multiple Bottlenecks
- The heavy traffic approximation for single server queues in series
- Validity of Heavy-Traffic Steady-State Approximations in Multiclass Queueing Networks: The Case of Queue-Ratio Disciplines
- Resource sharing networks: Overview and an open problem
- Scheduling Flexible Servers with Convex Delay Costs: Heavy-Traffic Optimality of the Generalized cμ-Rule
- Stability of Data Networks: Stationary and Bursty Models
- Optimal Control of Distributed Parallel Server Systems Under the Halfin and Whitt Regime
- Lyapunov method for the stability of fluid networks
- Existence condition for the diffusion approximations of multiclass priority queueing networks
- State-space collapse in stationarity and its application to a multiclass single-server queue in heavy traffic
This page was built for publication: Diffusion Limit of Fair Resource Control—Stationarity and Interchange of Limits
