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可中断半在线排序问题 被引量:1

Preemptive semi-online scheduling problems.
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摘要 讨论两台同型机上的可中断半在线排序问题,目标函数为极大化最小的机器完工时间Cmin.首先考虑已知所有工件的加工时间在p和rp(p>0,r≥1)之间的情形,对任意的参数r,设计了最优半在线算法.接着,对已知最大工件加工时间的情形作了研究,得到了一个竞争比为54的最优半在线算法. Two preemptive semi online scheduling problems to maximize the minimum machine completion time on two identical machines were investigated. In the first semi-online problem, it is known in advance that all jobs have their processing times in between p and rp(p〉0,r≥l). For every r≥l , an optimal semi-online algorithm is pro- posed. In the second semi-online problem, it is known that the size of the largest job in advance, and then an optimal semi-online algorithm with competitive ratio 5/4 is proposed.
作者 朱熙 杨启帆
机构地区 浙江大学数学系
出处 《浙江大学学报(理学版)》 CAS CSCD 北大核心 2006年第1期19-23,共5页 Journal of Zhejiang University(Science Edition)
关键词 同型机 半在线 可中断排序 竞争比 identical machines semi online preemptive scheduling competitive ratio
作者简介 朱熙(1978-)。女。硕士。主要从事组合优化的研究工作.
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  • 1He Y, Zhang G. Semi on-line scheduling on two identical machines. Computing, 1999, 62: 179-187.
  • 2He Y. The optimal on-line parallel machine scheduling.Computers & Mathematics with Applications, 2000, 39:117-121.
  • 3He Y, Dosa G. Semi-online scheduling jobs with tightlygrouped processing times on three identical machines.Technical Report, Dept. Mathematics, Zhejiang University, 2002.
  • 4Chen B, van Vliet A, Woeginger G. An optimal algorithm for preemptive on-line scheduling. Operations Research Letters, 1995, 18: 127-131.
  • 5Seiden S, Sgall J, Woeginger G. Semi-online scheduling with decreasing job sizes. Operations Research Letters,2000, 27: 215-221.
  • 6Epstein L, Favrholdt L. Optimal preemptive semi-online scheduling to minimize makespan on two related machines. Operations Research Letters, 2002, 30: 269-275.
  • 7Epstein L. Bin stretching revisited. Acta Informatica,2003, 39: 97-117.
  • 8McNaughton R. Scheduling with deadlines and loss functions. Management Sciences, 1959, 6: 1-12.
  • 9Epstein L. Optimal preemptive on-line scheduling on uniform processors with non-decreasing speed ratios.Operations Research Letters, 2001, 29: 93-98.
  • 10谈之奕,何勇.同类机半在线排序问题及其近似算法[J].系统工程理论与实践,2001,21(2):53-57. 被引量:16

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