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Switching White Papers

Interaction of TCP Flows as Billiards

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switching

Overview The aim of this paper is to analyze the performance of a large number of long lived TCP controlled flows sharing many routers (or links), from the knowledge of the network parameters (capacity, buffer size, topology) and of the characteristics of each TCP flow (RTT, route etc.) when taking synchronization into account. It is shown that the dynamics of such a network can be described in terms of iterate of random piecewise affine maps, or geometrically as a billiards in the Euclidean space with as many dimensions as the number of flow classes and as many reflection facets as there are routers.

Further White Paper Details
Publisher	Institute of Electrical and Electronics Engineers	File Format	PDF
Date Published	February 2002
Format	White Papers
Topics	Switching, TCP - IP

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