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Optimal online scheduling of parallel jobs with dependencies
Citation key FKST-OOSPJD-93
Author Feldmann, Anja and Kao, Ming-Yang and Sgall, Jiri and Teng, Shang-Hua
Title of Book STOC '93: Proceedings of the twenty-fifth annual ACM symposium on Theory of computing
Pages 642–651
Year 1993
ISBN 0-89791-591-7
DOI http://dx.doi.org/10.1145/167088.167254
Location San Diego, California, United States
Address New York, NY, USA
Note Also appeared unauthorized as: A Dynamic Algorithm for Online Scheduling of Parallel Processes. C.V. Papadopoulos; PARLE'94, pages 600–610, 1994; an earlier version appeared as FKST-OOSPJD-92.
Publisher ACM Press
Abstract We study the following general online scheduling problem. Parallel jobs arrive on a parallel machine dynamically according to the dependencies between them. Each job requests a certain number of processors in a specific communication configuration, but its running time is not known until it is completed. We present optimal online algorithms for PRAMs, hypercubes, and one-dimensional meshes. For PRAMs we obtain optimal tradeoffs between the competitive ratio and the largest number of processors requested by any job. Our results demonstrate that online scheduling with dependencies differs from scheduling without dependencies in several crucial aspects. First, it is essential to use virtualization, i.e., to schedule parallel jobs on fewer processors than requested. Second, the maximal number of processors requested by a job has significant influence on the performance. Third, the geometric structure of the network topology is an even more important factor than in the absence of dependencies.
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