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Randomized Permutations in a Coarse Grained Parallel Environment

Jens Gustedt 1
1 RESEDAS - Software Tools for Telecommunications and Distributed Systems
INRIA Lorraine, LORIA - Laboratoire Lorrain de Recherche en Informatique et ses Applications
Abstract : We show how to distribute data at random (not to be confounded with permutation routing) in a coarse grained parallel environment with $p$ processors. Previously known methods were not able to fulfill the three criteria of uniformity, work-optimality and balance among the processors simultaneously. To guarantee the uniformity we investigate the matrix of communication requests between the processors. We show that its distribution is a generalization of the multivariate hypergeometric distribution and give algorithms to compute it efficiently.
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https://hal.inria.fr/inria-00071946
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Submitted on : Tuesday, May 23, 2006 - 7:20:07 PM
Last modification on : Friday, February 4, 2022 - 3:21:50 AM
Long-term archiving on: : Sunday, April 4, 2010 - 10:45:45 PM

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  • HAL Id : inria-00071946, version 1

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Jens Gustedt. Randomized Permutations in a Coarse Grained Parallel Environment. [Research Report] RR-4639, INRIA. 2002, pp.12. ⟨inria-00071946⟩

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