Congestion avoidance and control
SIGCOMM '88 Symposium proceedings on Communications architectures and protocols
Suboptimization of singularly perturbed control systems
SIAM Journal on Control and Optimization
Random early detection gateways for congestion avoidance
IEEE/ACM Transactions on Networking (TON)
Fluid-based analysis of a network of AQM routers supporting TCP flows with an application to RED
Proceedings of the conference on Applications, Technologies, Architectures, and Protocols for Computer Communication
IEEE/ACM Transactions on Networking (TON)
Scalable TCP: improving performance in highspeed wide area networks
ACM SIGCOMM Computer Communication Review
The Mathematics of Internet Congestion Control (Systems and Control: Foundations and Applications)
The Mathematics of Internet Congestion Control (Systems and Control: Foundations and Applications)
Non-convex optimization and rate control for multi-class services in the Internet
IEEE/ACM Transactions on Networking (TON)
Linear Programming Approach to Deterministic Long Run Average Problems of Optimal Control
SIAM Journal on Control and Optimization
Fundamental design issues for the future Internet
IEEE Journal on Selected Areas in Communications
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We investigate the interaction between Transmission Control Protocol (TCP) and an Active Queue Management (AQM) router, that are designed to control congestion in the Internet. TCP controls the sending rate with which the data is injected into the network and AQM generates control signals based on the congestion level. For a given TCP version, we define the optimal strategy for the AQM router as a solution of a nonlinear periodic optimization problem, and we find this solution using a linear programming approach. We show that depending on the choice of the utility function for the sending rate, the optimal control is either periodic or steady state. Main attention is paid to a problem with a sigmoidal utility function, in which the evolution of the optimal sending rate resembles a “saw-tooth” behavior of the “instantaneous” TCP sending rate.