引用本文: | 陈华平,古春生.随机柔性Flow shop加权完成时间调度问题的启发式策略性能分析[J].控制理论与应用,2006,23(4):523~525.[点击复制] |
CHEN Hua-ping, GU Chun-sheng .Performance analysis of policy of heuristic for the stochastic flexible flow shop weighted completion time scheduling problem[J].Control Theory and Technology,2006,23(4):523~525.[点击复制] |
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随机柔性Flow shop加权完成时间调度问题的启发式策略性能分析 |
Performance analysis of policy of heuristic for the stochastic flexible flow shop weighted completion time scheduling problem |
摘要点击 1572 全文点击 943 投稿时间:2004-12-16 修订日期:2005-09-22 |
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DOI编号 10.7641/j.issn.1000-8152.2006.4.005 |
2006,23(4):523-525 |
中文关键词 调度 随机柔性Flow shop 启发式策略 渐近最优 |
英文关键词 scheduling stochastic flexible Flow shop scheduling policy of heuristic asymptotic optimal |
基金项目 安徽省自然科学基金资助项目(050460404); 中国科学技术大学研究生创新基金资助项目(KD2004056) |
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中文摘要 |
因实际生产中调度问题的规模很大,分析其近似算法的绝对性能比很难,有时甚至不可能,所以研究近似算法的渐近性能比就很有必要.本文针对随机柔性Flow shop加权完成时间调度问题,使用单机松弛和概率分析方法,证明了基于加权最短期望处理时间需求的启发式策略是渐近最优的. |
英文摘要 |
Due to the large size of scheduling problem in reality, it is more difficult, sometimes impossible, to analyze the absolute performance ratio of its approximation algorithm. It is thus necessary to study the asymptotical performance ratio of approximation algorithm for scheduling problem. By using single machine relaxation and probabilistic analysis, this paper proves that the policy of heuristic based on weighted shortest expected processing requirement is asymptotically optimal for the stochastic flexible flow shop weighted completion time scheduling problem. |