Fluid Limits for Bandwidth-Sharing Networks with Rate Constraints
DOI10.1287/moor.2013.0641zbMath1329.60322arXiv1301.4360OpenAlexW2100177330MaRDI QIDQ5244867
Josh Reed, Maria Frolkova, Bert Zwart
Publication date: 31 March 2015
Published in: Mathematics of Operations Research (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1301.4360
fluid limitsbandwidth sharing networkspatience timesrate constraintsfixed-point approximationslarge capacity scaling
Stochastic network models in operations research (90B15) Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22) Random measures (60G57) Functional limit theorems; invariance principles (60F17) Applications of queueing theory (congestion, allocation, storage, traffic, etc.) (60K30)
Related Items (3)
Cites Work
- Unnamed Item
- Asymptotic approximations for stationary distributions of many-server queues with abandonment
- Bandwidth-sharing networks under a diffusion scaling
- 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
- Bandwidth sharing and admission control for elastic traffic
- Fluid model for a network operating under a fair bandwidth-sharing policy.
- A survey on statistical bandwidth sharing
- Structural properties of proportional fairness: stability and insensitivity
- A queueing analysis of max-min fairness, proportional fairness and balanced fairness
- Limit Theorems for Markovian Bandwidth-Sharing Networks with Rate Constraints
- Heavy traffic on a controlled motorway
- Utility-Maximizing Resource Control: Diffusion Limit and Asymptotic Optimality for a Two-Bottleneck Model
- Fluid Limits for Processor-Sharing Queues with Impatience
- 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
- Fluid Limits for Bandwidth-Sharing Networks in Overload
This page was built for publication: Fluid Limits for Bandwidth-Sharing Networks with Rate Constraints