Random early detection gateways for congestion avoidance
IEEE/ACM Transactions on Networking (TON)
Wide area traffic: the failure of Poisson modeling
IEEE/ACM Transactions on Networking (TON)
Self-similarity in World Wide Web traffic: evidence and possible causes
Proceedings of the 1996 ACM SIGMETRICS international conference on Measurement and modeling of computer systems
The macroscopic behavior of the TCP congestion avoidance algorithm
ACM SIGCOMM Computer Communication Review
Modeling TCP Reno performance: a simple model and its empirical validation
IEEE/ACM Transactions on Networking (TON)
TCP in presence of bursty losses
Proceedings of the 2000 ACM SIGMETRICS international conference on Measurement and modeling of computer systems
Self-Similar Network Traffic and Performance Evaluation
Self-Similar Network Traffic and Performance Evaluation
Characterization of queue fluctuations in probabilistic AQM mechanisms
Proceedings of the joint international conference on Measurement and modeling of computer systems
Nonlinear instabilities in TCP-RED
IEEE/ACM Transactions on Networking (TON)
Local and global stability of TCP-newReno/RED with many flows
Computer Communications
A non-equilibrium analysis and control framework for active queue management
Automatica (Journal of IFAC)
An introduction to modelling and performance evaluation for TCP networks
Network performance engineering
Technical Communique: Stability of a rate control system with averaged feedback and network delay
Automatica (Journal of IFAC)
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We introduce a stochastic model of a bottleneck ECN/RED gateway under a large number of heterogeneous TCP flows, i.e., flows with diverse round-trip delays and session dynamics. We investigate the asymptotic behavior of the system and show that as the number of flows becomes large, the buffer dynamics and aggregate traffic simplify and can be accurately described by simple stochastic recursions independent of the number of flows, resulting in a scalable model. Based on the Central Limit analysis in the paper, we identify the sources of fluctuations in queue size and describe the relationship between the system parameters such as the marking function and variance of queue size. A closed-form approximation for the mean queue size as a function of system parameters is provided from a simple steady-state analysis. Numerical examples are provided to validate our results.