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F. Kelly, A. Maulloo, and D. Tan, “Rate control for communication networks: Shadow prices, proportional fairness and stability,” Journal of the Operational Research Society, Vol. 49, No. 3, pp. 237–252, March 1998.

has been cited by the following article:

• TITLE: Regulation of Queue Length in Router Based on an Optimal Scheme

  AUTHORS: Nannan ZHANG

  KEYWORDS: Congestion Control, Sliding Mode Control (SMC), Active Queue Management (AQM), Kelly’s Proportional Fair Scheme

  JOURNAL NAME: International Journal of Communications, Network and System Sciences, Vol.2 No.5, August 21, 2009

  ABSTRACT: Based on the proportionally fair scheme that Kelly proposed to solve the optimization problems for utility function in networks, and in order to improve the congestion control performance for the queue in router, the linear and terminal sliding active queue management (AQM) algorithms are designed. Especially in the ter-minal sliding AQM algorithm, a special nonlinear terminal sliding surface is designed in order to force queue length to reach the desired value in finite time. The upper bound of the time is also obtained. Simulation re-sults demonstrate that the proposed congestion algorithm enables the system be better transient and stable performance. At the same time, the robustness is guaranteed.