@inproceedings{7b3a70adca1d44649b173e16bbeedbcf,
title = "Analysis of TCP-AQM interaction via periodic optimization and linear programming: The case of sigmoiclal utility function",
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.",
author = "K. Avrachenkov and L. Finlay and V. Gaitsgory",
year = "2006",
language = "English",
isbn = "3540344292",
volume = "4003 LNCS",
series = "Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)",
publisher = "Springer, Springer Nature",
pages = "517--529",
editor = "Yevgeni Koucheryavy and Jarmo Harju and Villy Iversen",
booktitle = "Next Generation Teletraffic and Wired/Wireless Advanced Networking, 6th International Conference, NEW2AN 2006, Proceedings",
address = "United States",
note = "6th International Conference on Next Generation Teletraffic and Wired/Wireless Advanced Networking, NEW2AN 2006 ; Conference date: 29-05-2005 Through 02-06-2005",
}