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 nd 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 nd packets.
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- [AS92]A. Acampora and S. Shah: Multihop lightwave networks: a comparison of store-and-forward and hot-potato routing. IEEE Transactions on Communications 40 (1992) 1082–1090Google Scholar
- [FR92]U. Feige and P. Raghavan: Exact analysis of hot-potato routing. Proceedings of the 33rd Symposium on Foundation of Computer Science (1992) 553–562Google Scholar
- [GG93]J. Goodman and A. Greenberg: Sharp approximate models of deflection routing in mesh networks. IEEE Transactions on Communications 41 (1993) 210–223Google Scholar
- [GH92]A. Greenberg and B. Hajek: Deflection routing in hypercube networks. IEEE Transaction on Communications 40 (1992) 1070–1081Google Scholar
- [H91]B. Hajek: Bounds on evacuation time for deflection routing. Distributed Computing 5 (1991) 1–6Google Scholar
- [HK90]B. Hajek and A. Krishna: Performance of shuffle-like switching networks with deflections. Proceedings of the IEEE INFOCOM (1990) 473–480Google Scholar
- [KKR93]C. Kaklamanis, D. Krizanc and S. Rao: Hot-potato routing on processor arrays. Proceedings of the 5th Symposium on Parallel Algorithms and Architectures (1993) 273–282Google Scholar
- [M89]N. Maxemchuk: Comparison of deflection and store-and-forward techniques in the manhattan street and shuffle-exchange networks. Proceedings of the IEEE INFOCOM (1989) 800–809Google Scholar
- [S90]T. Szymanski: An analysis of “hot-potato”; routing in a fiber optic packet switched hypercube. Proceedings of the IEEE INFOCOM (1990) 918–925Google Scholar
- [W95]M. Westermann: Hot-potato routing. Diplomarbeit, University of Paderborn (1995)Google Scholar