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International Parallel and Distributed Processing Symposium (IPDPS'03)
Routing on Meshes in Optimum Time and with Really Small Queues
Nice, France
April 22-April 26
ISBN: 0-7695-1926-1
Bogdan S. Chlebus, University of Colorado at Denver
Jop F. Sibeyn, Martin-Luther-Universität Halle-Wittenberg
We consider permutation routing problems on 2D and 3D mesh-connected computers with side lenth n. Our main result is a deterministic on-line algorithm routing on 2D meshes, operating in worst-case time T = 2n + O(1) and with queue size Q = 3. We also develop off-line routing algorithms with performance bounds T = 2n + O(1) and with queue size Q = 3. We also develop off-line routing algorithms with performance bounds T = 2n - 1 and Q = 2 for 2D meshes, and T = 3n - 2 and Q = 4 for 3D meshes. We also show that is it possible to route most of the permutations on 2D meshes off-line in time T = 2n - 2 with Q = 1.
Citation:
Bogdan S. Chlebus, Jop F. Sibeyn, "Routing on Meshes in Optimum Time and with Really Small Queues," ipdps, pp.56a, International Parallel and Distributed Processing Symposium (IPDPS'03), 2003
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