Random early detection gateways for congestion avoidance
IEEE/ACM Transactions on Networking (TON)
Dynamics of random early detection gateway under a large number of tcp flows
Dynamics of random early detection gateway under a large number of tcp flows
The Fluid Limit of an Overloaded Processor Sharing Queue
Mathematics of Operations Research
Characterization of queue fluctuations in probabilistic AQM mechanisms
Proceedings of the joint international conference on Measurement and modeling of computer systems
A mean-field analysis of short lived interacting TCP flows
Proceedings of the joint international conference on Measurement and modeling of computer systems
Nonlinear instabilities in TCP-RED
IEEE/ACM Transactions on Networking (TON)
Part II: control theory for buffer sizing
ACM SIGCOMM Computer Communication Review
Using partial differential equations to model TCP mice and elephants in large IP networks
IEEE/ACM Transactions on Networking (TON)
On the behavior of ECN/RED gateways under a large number of TCP flows: Limit theorems
Queueing Systems: Theory and Applications
A stochastic model for the throughput of non-persistent TCP flows
valuetools '06 Proceedings of the 1st international conference on Performance evaluation methodolgies and tools
Equilibria of a class of transport equations arising in congestion control
Queueing Systems: Theory and Applications
Beyond fluid models: modelling TCP mice in IP networks under non-stationary random traffic
Computer Networks: The International Journal of Computer and Telecommunications Networking
An efficient technique to analyze the impact of bursty TCP traffic in wide-area networks
Performance Evaluation
Network optimization and control
Foundations and Trends® in Networking
A stochastic model for the throughput of non-persistent TCP flows
Performance Evaluation
Transient behavior of processes in the tcp paradigm
Probability in the Engineering and Informational Sciences
A non-equilibrium analysis and control framework for active queue management
Automatica (Journal of IFAC)
Achieving 100% throughput in TCP/AQM under aggressive packet marking with small buffer
IEEE/ACM Transactions on Networking (TON)
MeanField analysis for the evaluation of gossip protocols
ACM SIGMETRICS Performance Evaluation Review
Probabilistic model of the algorithms of distributed control protocol in the internet network
Automation and Remote Control
An analytical model of a new packet marking algorithm for TCP flows
Computer Networks: The International Journal of Computer and Telecommunications Networking - Selected papers from the 3rd international workshop on QoS in multiservice IP networks (QoS-IP 2005)
Bursty fluid approximation of TCP for modeling internet congestion at the flow level.
Allerton'09 Proceedings of the 47th annual Allerton conference on Communication, control, and computing
TCP with feed-forward source coding for wireless downlink networks
Allerton'09 Proceedings of the 47th annual Allerton conference on Communication, control, and computing
Mean field limit of non-smooth systems and differential inclusions
ACM SIGMETRICS Performance Evaluation Review
Mean-field framework for performance evaluation of push-pull gossip protocols
Performance Evaluation
Technical Communique: Stability of a rate control system with averaged feedback and network delay
Automatica (Journal of IFAC)
An analytical evaluation of autocorrelations in TCP traffic
AINTEC'05 Proceedings of the First Asian Internet Engineering conference on Technologies for Advanced Heterogeneous Networks
QoS-IP'05 Proceedings of the Third international conference on Quality of Service in Multiservice IP Networks
IEEE/ACM Transactions on Networking (TON)
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Active queue management schemes like RED (random early detection) have been suggested when multiple TCP sessions are multiplexed through a bottleneck buffer. The idea is to detect congestion before the buffer overflows and packets are lost. When the queue length reaches a certain threshold RED schemes drop/mark incoming packets with a probability that increases as the queue size increases. The objectives are an equitable distribution of packet loss, reduced delay and delay variation and improved network utilization.Here we model multiple connections maintained in the congestion avoidance regime by the RED mechanism. The window sizes of each TCP session evolve like independent dynamical systems coupled by the queue length at the buffer. We introduce a mean-field approximation to one such RED system as the number of flows tends to infinity. The deterministic limiting system is described by a transport equation. The numerical solution of the limiting system is found to provide a good description of the evolution of the distribution of the window sizes, the average queue size, the average loss rate per connection and the total throughput. TCP with RED or tail-drop may exhibit limit cycles and this causes unnecessary packet delay variation and variable loss rates. The root cause of these limit cycles is the hysteresis due to the round trip time delay in reacting to a packet loss.