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An Improved Bound for Minimizing the Total Weighted Completion Time of Coflows in Datacenters

机译:用于最小化数据中心中共流的总加权完成时间的改进范围

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In data-parallel computing frameworks, intermediate parallel data is often produced at various stages which needs to be transferred among servers in the datacenter network (e.g., the shuffle phase in MapReduce). A stage often cannot start or be completed unless all the required data pieces from the preceding stage are received. Coflow is a recently proposed networking abstraction to capture such communication patterns. We consider the problem of efficiently scheduling coflows with release dates in a shared datacenter network so as to minimize the total weighted completion time of coflows. Several heuristics have been proposed recently to address this problem, as well as a few polynomial-time approximation algorithms with provable performance guarantees. Our main result in this paper is a polynomial-time deterministic algorithm that improves the prior known results. Specifically, we propose a deterministic algorithm with approximation ratio of 5, which improves the prior best known ratio of 12. For the special case when all coflows are released at time zero, our deterministic algorithm obtains approximation ratio of 4 which improves the prior best known ratio of 8. The key ingredient of our approach is an improved linear program formulation for sorting the coflows followed by a simple list scheduling policy. Extensive simulation results, using both synthetic and real traffic traces, are presented that verify the performance of our algorithm and show improvement over the prior approaches.
机译:在数据并行计算框架中,中间并行数据通常在各个阶段产生,需要在数据中心网络中的服务器之间传输(例如,MapReduce中的混洗阶段)。除非收到前一阶段的所有必需数据,否则一个阶段通常无法启动或完成。 Coflow是最近提出的一种网络抽象,用于捕获此类通信模式。我们考虑在共享数据中心网络中有效地计划带有发布日期的并流的问题,以便最大程度地减少并流的总加权完成时间。最近已经提出了几种启发式方法来解决这个问题,以及一些具有可证明的性能保证的多项式时间近似算法。我们在本文中的主要结果是多项式时间确定性算法,该算法改进了先前的已知结果。具体来说,我们提出一种确定性算法,其近似比率为5,从而将先前的最佳已知比率提高了12。对于特殊情况,当所有同流在零时间释放时,我们的确定性算法获得的近似比率为4,从而改善了先前的已知比率。比率为8。我们方法的关键要素是改进的线性程序公式,用于对同流进行排序,然后采用简单的列表调度策略。提出了使用综合和真实交通轨迹的大量仿真结果,这些结果验证了我们算法的性能,并显示了对现有方法的改进。

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