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Efficient Algorithms for Average Completion Time Scheduling

机译:高效算法,平均完成时间调度

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摘要

We analyze the competitive ratio of algorithms for minimizing (weighted) average completion time on identical parallel machines and prove that the well-known shortest remaining processing time algorithm (SRPT) is 5/4-competitive w.r.t. the average completion time objective. For weighted completion times we give a deterministic algorithm with competitive ratio 1.791 + o(m). This ratio holds for preemptive and non-preemptive scheduling.
机译:我们分析了算法的竞争比率,以使(加权)在相同的并联机器上最小化(加权)平均完成时间,并证明众所周知的最短剩余处理时间算法(SRPT)是5/4竞争W.R.T.平均完成时间目标。对于加权完成时间,我们提供了具有竞争比率的确定性算法1.791 + O(m)。该比率适用于先发制人和非先发制人的调度。

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