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Time optimal linear schedules for algorithms with uniform dependencies

机译:具有一致依存关系的算法的时间最优线性调度

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The authors address the problem of identifying optimal linear schedules for uniform dependence algorithms so that their execution time is minimized. Procedures are proposed to solve this problem based on the mathematical solution of a nonlinear optimization problem. The complexity of these procedures is independent of the size of the algorithm. Actually, the complexity is exponential in the dimension of the index set of the algorithm, and for all practical purposes, very small due to the limited dimension of the index set of algorithms of practical interest. A particular class of algorithms for which the proposed solution is greatly simplified is considered, and the corresponding simpler organization procedure is provided.
机译:作者解决了为统一依赖性算法确定最佳线性计划的问题,从而最大程度地缩短了执行时间。根据非线性优化问题的数学解,提出了解决该问题的方法。这些过程的复杂性与算法的大小无关。实际上,复杂度在算法的索引集的维度上是指数级的,并且对于所有实际目的,由于实际感兴趣的算法的索引集的维度有限,因此非常小。考虑了极大简化所提出​​的解决方案的一类特定算法,并提供了相应的更简单的组织过程。

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