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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 被引量:6

Better approximation algorithm for scheduling independent parallel tasks
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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. 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).
出处 《浙江大学学报(理学版)》 CAS CSCD 2004年第2期138-142,共5页 Journal of Zhejiang University(Science Edition)
基金 国家自然科学基金资助项目(10371028).
关键词 近似算法 平行机排序 渐近性能比 并行工件 approximation algorithm parallel task scheduling worst-case performance ratio
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参考文献3

  • 1[1]LI K. Analysis of an approximation algorithm for scheduling independent parallel tasks [J]. Discrete Mathematics and Theoretical Computer Science,1999,3: 155-166.
  • 2[2]BAKER B S, SCHWARZ J S. Shelf algorithm for two-dimensional packing problems [J]. SIAM J on Computing, 1983, 12: 508-525.
  • 3[3]GOLAN I. Performance bounds for orthogonal oriented two-dimensional packing algorithms[J]. SIAM J on Computing, 1981,10: 571-582.

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