A Time-Scale Decomposition Approach to Adaptive Explicit Congestion Notification (ECN) Marking

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Adaptive virtual queue
congestion control
explicit congestion notification (ECN) marking
Internet
singular perturbations
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Fair resource allocation in high-speed networks, such as the Internet, can be viewed as a constrained optimization program. Kelly et al. have shown that an unconstrained penalty function formulation of this problem can be used to design congestion controllers that are stable. In this paper, we examine the question of providing feedback from the network such that the congestion controllers derived from the penalty function formulation lead to the solution of the original unconstrained problem. This can be viewed as the decentralized design of explicit congestion notification (ECN) marking rates at each node in the Internet to ensure global loss-free operation of a fluid model of the network. We then look at the stability of such a scheme using a time-scale decomposition of the system. This results in two seperate systems which are stable individually, and we show that under certain assumptions the entire system is semiglobally stable and converges fast to the equilibrium point exponentially.

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2002-06-01
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Copyright 2002 IEEE. Reprinted from IEEE Transactions on Automatic Control, Volume 47, Issue 6, June 2002, pages 882-894. Publisher URL: http://ieeexplore.ieee.org/xpl/tocresult.jsp?isNumber=21741&puNumber=9 This material is posted here with permission of the IEEE. Such permission of the IEEE does not in any way imply IEEE endorsement of any of the University of Pennsylvania's products or services. Internal or personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution must be obtained from the IEEE by writing to pubs-permissions@ieee.org. By choosing to view this document, you agree to all provisions of the copyright laws protecting it.
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