Semi on-line preemptive scheduling on two uniform machines with rejection(两台可中断同类机可拒绝半在线排序问题的近似算法)
研究一个两台同类机可拒绝半在线排序问题,机器速度一个为1,另一个为s∈[1, +∞),加工允许中断.当工件到达时,可以将其接受加工,占用一定的机器负荷,也可以将其拒绝,付出相应的罚值,目标为使被接受工件集产生的makespan和被拒绝工件集的总罚值之和最小.问题进一步假定每个工件在选择是否加工时有两个拒绝尺度,各自独立决策,最后选择较好的结果作为最终输出.笔者设计了算法H,得到其关于s的参数竞争比为,优于只有一个拒绝尺度的经典情形.最后又给出问题的一个下界,上下界的最大差距在s=1时达到0.167....
Main Authors: | MINXiao(闵啸), LIUJing(刘静), WANGYu-qing(王玉青) |
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Format: | Article |
Language: | zho |
Published: |
Zhejiang University Press
2010-09-01
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Series: | Zhejiang Daxue xuebao. Lixue ban |
Subjects: | |
Online Access: | https://doi.org/10.3785/j.issn.1008-9497.2010.05.009 |
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