Fluid model for a network operating under a fair bandwidth-sharing policy

• 成果类型: Article
• 署名作者: Kelly, FP; Williams, RJ
• 署名单位: University of Cambridge; University of California System; University of California San Diego
• 刊物名称: ANNALS OF APPLIED PROBABILITY
• ISSN/ISSBN: 1050-5164
• DOI: 10.1214/105051604000000224
• 发表日期: 2004
• 页码: 1055-1083
• 关键词: multiclass queuing-networks; heavy traffic limits; state-space collapse; congestion control; performance

摘要

We consider a model of Internet congestion control that represents the randomly varying number of flows present in a network where bandwidth is shared fairly between document transfers. We study critical fluid models obtained as formal limits under law of large numbers scalings when the average load on at least one resource is equal to its capacity. We establish convergence to equilibria for fluid models and identify the invariant manifold. The form of the invariant manifold gives insight into the phenomenon of entrainment whereby congestion at some resources may prevent other resources from working at their full capacity.