Adaptive algorithms and stochastic approximations
Adaptive algorithms and stochastic approximations
Random early detection gateways for congestion avoidance
IEEE/ACM Transactions on Networking (TON)
Stochastic Approximation Methods for Systems Over an InfiniteHorizon
SIAM Journal on Control and Optimization
Dynamics of random early detection
SIGCOMM '97 Proceedings of the ACM SIGCOMM '97 conference on Applications, technologies, architectures, and protocols for computer communication
High-speed networks: TCP/IP and ATM design principles
High-speed networks: TCP/IP and ATM design principles
Explicit allocation of best-effort packet delivery service
IEEE/ACM Transactions on Networking (TON)
Some limit theorems for regenerative queues
Queueing Systems: Theory and Applications
Analyzing the Impact of TCP Connections Variation on Transient Behavior of RED Gateway
ICOIN '02 Revised Papers from the International Conference on Information Networking, Wireless Communications Technologies and Network Applications-Part I
Stability and Analysis of TCP Connections with RED Control and Exogenous Traffic
Queueing Systems: Theory and Applications
Achieving 100% throughput in TCP/AQM under aggressive packet marking with small buffer
IEEE/ACM Transactions on Networking (TON)
Per-stream loss behavior of ΣMAP/M/1/K queuing system with a random early detection mechanism
Information Sciences: an International Journal
A proof of convergence of the B-RED and P-RED algorithms for random early detection
IEEE Communications Letters
Proceedings of the 6th International Conference on Queueing Theory and Network Applications
Hi-index | 0.00 |
In this article we consider a finite queue with its arrivals controlled by the random early detection algorithm. This is one of the most prominent congestion avoidance schemes in the Internet routers. The aggregate arrival stream from the population of transmission control protocol sources is locally considered stationary renewal or Markov modulated Poisson process with general packet length distribution. We study the exact dynamics of this queue and provide the stability and the rates of convergence to the stationary distribution and obtain the packet loss probability and the waiting time distribution. Then we extend these results to a two traffic class case with each arrival stream renewal. However, computing the performance indices for this system becomes computationally prohibitive. Thus, in the latter half of the article, we approximate the dynamics of the average queue length process asymptotically via an ordinary differential equation. We estimate the error term via a diffusion approximation. We use these results to obtain approximate transient and stationary performance of the system. Finally, we provide some computational examples to show the accuracy of these approximations.