Abstract
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.
The work was supported by the Australian Research Council Discovery-Project Grants DP0346099, DP0664330, Linkage International Grant LX0560049 and France Telecom R&D Grant “Modélisation et Gestion du Trafic réseaux Internet” no. 42937433.
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Avrachenkov, K., Finlay, L., Gaitsgory, V. (2006). Analysis of TCP-AQM Interaction Via Periodic Optimization and Linear Programming: The Case of Sigmoidal Utility Function. In: Koucheryavy, Y., Harju, J., Iversen, V.B. (eds) Next Generation Teletraffic and Wired/Wireless Advanced Networking. NEW2AN 2006. Lecture Notes in Computer Science, vol 4003. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11759355_47
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DOI: https://doi.org/10.1007/11759355_47
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