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带单服务器和相同加工时间的流水作业排序问题

Scheduling a Single Server and Equal Processing Times in a Two-machine Flow-shop
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摘要 研究带单服务器和相同加工时间的两台机器的流水作业排序问题,证明该问题是强NP-困难的,引入一个简单的贪婪算法证明其紧界是3/2. We consider the problem of two-machine flow-shop scheduling with a single server and equal processing times,we show that this problem is NP-hard in the strong sense and present a simple greedy algorithm for it with worst-case bound 3/2.
作者 时凌 程学光
出处 《数学物理学报(A辑)》 CSCD 北大核心 2012年第6期1121-1125,共5页 Acta Mathematica Scientia
关键词 两台机器 流水作业 单服务器 NP-困难 最坏性能比 Two-machine Flow-shop Single server Complexity NP-hardness Worst-case analysis
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参考文献5

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  • 2Johnson S M. Optimal two-and-three-stage production schedules with set-up times included. Naval ResQuart, 1954, 1: 61-68.
  • 3Brucker P, Knust S, Wang G Q, et al. Complexity of results for flow-shop problems with a single server.European J Oper Res, 2005, 165(2): 398-407.
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