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带并行工件的平行机排序问题的一个新近似算法
Better approximation algorithm for scheduling independent parallel tasks
【摘要】 讨论并行工件平行机排序问题,目标为极小化所有工件的总完工时间.这是一个强NP-难的问题.通过对(0,1]区间划分的深入研究,提出了一个多项式时间的近似算法,其渐近性能比的上界为1.6,下界为1.5.该算法比LI(1999)中提出的算法的渐近性能比明显地小.
【Abstract】 The problem of scheduling independent parallel tasks in parallel identical machine systems is discussed with the objective of minimizing makespan. The problem is known to be strongly NP-hard. Based on the new division of t, it is proposed that an approximation algorithm of which the worst-case performance ratio have an upper bound 1.6 and lower bound 1.5, much smaller than that of the algorithm in LI(1999).
【关键词】 近似算法;
平行机排序;
渐近性能比;
【Key words】 approximation algorithm; parallel task scheduling; worst-case performance ratio;
【Key words】 approximation algorithm; parallel task scheduling; worst-case performance ratio;
【基金】 国家自然科学基金资助项目(10371028).
- 【文献出处】 浙江大学学报(理学版) ,Journal of Zhejiang University(Sciences Edition) , 编辑部邮箱 ,2004年02期
- 【分类号】O223
- 【被引频次】5
- 【下载频次】118