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| Content Provider | IEEE Xplore Digital Library |
|---|---|
| Author | Saule, E. Bas, E.O. Çatalyürek, U.V. |
| Copyright Year | 2011 |
| Abstract | The ideal distribution of spatially located heterogeneous workloads is an important problem to address in parallel scientific computing. We investigate the problem of partitioning such workloads (represented as a matrix of positive integers) into rectangles, such that the load of the most loaded rectangle (processor) is minimized. Since finding the optimal arbitrary rectangle-based partition is an NP-hard problem, we investigate particular classes of solutions, namely, rectilinear partitions, jagged partitions and hierarchical partitions. We present a new class of solutions called m-way jagged partitions, propose new optimal algorithms for m-way jagged partitions and hierarchical partitions, propose new heuristic algorithms, and provide worst case performance analyses for some existing and new heuristics. Moreover, the algorithms are tested in simulation on a wide set of instances. Results show that two of the algorithms we introduce lead to a much better load balance than the state-of-the-art algorithms. |
| Starting Page | 709 |
| Ending Page | 720 |
| File Size | 1768394 |
| Page Count | 12 |
| File Format | |
| ISBN | 9781612843728 |
| ISSN | 15302075 |
| DOI | 10.1109/IPDPS.2011.72 |
| Language | English |
| Publisher | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Publisher Date | 2011-05-16 |
| Publisher Place | USA |
| Access Restriction | Subscribed |
| Rights Holder | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Subject Keyword | Partitioning algorithms Heuristic algorithms Arrays Approximation algorithms Algorithm design and analysis Approximation methods Complexity theory |
| Content Type | Text |
| Resource Type | Article |
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