Optimal On-Line Scheduling of Parallel Jobs with Dependencies

被引:0
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作者
Anja Feldmann
Ming-Yang Kao
Jiří Sgall
Shang-Hua Teng
机构
[1] Carnegie Mellon University,School of Computer Science
[2] Duke University,Department of Computer Science
[3] Mathematical Institute,Department of Computer Science
[4] University of Minnesota,undefined
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关键词
Mathematical Modeling; Schedule Problem; Industrial Mathematic; Geometric Structure; Discrete Geometry;
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摘要
We study the following general on-line scheduling problem. Paralleljobs arrive on a parallel machine dynamically according to thedependencies between them. Each job requests a certain number ofprocessors in a specific communication configuration, but its runningtime is not known until it is completed. We present optimal on-linealgorithms for PRAMs and one-dimensional meshes, and efficientalgorithms for hypercubes and general meshes. For PRAMs we obtainoptimal tradeoffs between the competitive ratio and the largestnumber of processors requested by any job.
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页码:393 / 411
页数:18
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