Scheduling Equal Processing Time Jobs to Minimize the Weighted Number of Late Jobs

Scheduling Equal Processing Time Jobs to Minimize the Weighted Number of Late Jobs
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安排相等处理时间的作业以最小化迟到作业的加权数量

DOI:
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发表时间:
2006
期刊:
J. Math. Model. Algorithms
影响因子:
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通讯作者:
Svetlana A. Kravchenko
Svetlana A. Kravchenko
中科院分区:
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文献类型:
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作者:
P. Brucker;Svetlana A. Kravchenko

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我们证明问题 P ∣ pi = p, pmtn ∣ ΣwiUi 是一元 NP 困难问题,尽管相应的非抢占问题可以在 O(n log n) 时间内解决,其中 n 是作业数量。这与以下事实形成鲜明对比:通常先发制人的问题并不比非先发制人的问题更难。
We prove that the problem P ∣ pi = p, pmtn ∣ ∑wiUi is unary NP-hard although the corresponding nonpreemptive problem can be solved in O(n log n) time, where n is the number of jobs. This contrasts the fact that usually preemptive problems are not harder than their nonpreemptive counterparts.