Hot-potato routing on multi-dimensional tori
We consider the hot-potato routing problem. The striking feature of this form of packet routing is that there are no buffers at the nodes. Thus packets are always moving.
A probabilistic hot-potato routing protocol is presented that routes random functions on the (n, d)-torus. If at most d/88 n d packets, evenly distributed among the processors, have to be routed, they all have reached their destinations in dn+O(d3log n) steps, with high probability, if 3≤d=O(nɛ) with ɛ ε (0, 1/2). This improves upon previous results where similar time bounds are only obtained for constant d and n d packets.
KeywordsSource Node Outgoing Edge Output Buffer IEEE INFOCOM Input Buffer
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