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Physical Sciences and Mathematics Commons

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Loyola University Chicago

Computer Science: Faculty Publications and Other Works

1995

Parallel computing

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Packet Routing In Networks With Long Wires, Ronald I. Greenberg, Hyeong-Cheol Oh Dec 1995

Packet Routing In Networks With Long Wires, Ronald I. Greenberg, Hyeong-Cheol Oh

Computer Science: Faculty Publications and Other Works

In this paper, we examine the packet routing problem for networks with wires of differing length. We consider this problem in a network independent context, in which routing time is expressed in terms of "congestion" and "dilation" measures for a set of packet paths. We give, for any constant ϵ > 0, a randomized on-line algorithm for routing any set of Npackets in O((C lgϵ(Nd) + D lg(Nd))/lg lg(Nd)) time, where C is the maximum congestion and D is the length of the longest path, both taking wire delays into …