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TCP-AQM Interaction: Periodic Optimization via Linear Programming

In: Stochastic Processes, Optimization, and Control Theory: Applications in Financial Engineering, Queueing Networks, and Manufacturing Systems

Author

Listed:
  • K. E. Avrachenkov

    (INRIA Sophia Antipolis)

  • L. D. Finlay

    (University of South Australia)

  • V. G. Gaitsgory

    (University of South Australia)

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.

Suggested Citation

  • K. E. Avrachenkov & L. D. Finlay & V. G. Gaitsgory, 2006. "TCP-AQM Interaction: Periodic Optimization via Linear Programming," International Series in Operations Research & Management Science, in: Houmin Yan & George Yin & Qing Zhang (ed.), Stochastic Processes, Optimization, and Control Theory: Applications in Financial Engineering, Queueing Networks, and Manufacturing Systems, chapter 0, pages 1-17, Springer.
    • Handle: RePEc:spr:isochp:978-0-387-33815-6_1
    DOI: 10.1007/0-387-33815-2_1
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