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m台机器上流水作业时间表问题的复杂性及一种新的启发式算法
引用本文:时凌.m台机器上流水作业时间表问题的复杂性及一种新的启发式算法[J].西南民族学院学报(自然科学版),2003,29(3):258-263.
作者姓名:时凌
作者单位:湖北民族学院理学院 湖北恩施
基金项目:Supported by the Educational Department of Hubei Province No.2002x13.
摘    要:研究流水作业时间表问题,在具有延迟时间的条件下证明该问题是强NP-困难的.给出一种新的启发式算法,并证明该算法的最坏性能比是(m 1)/2,且上界是紧的.

关 键 词:流水作业时间表  复杂性  延迟时间  准备时间  3-划分  NP-困难  算法
文章编号:1003-2843(2003)03-0258-06
修稿时间:2003年3月10日

Complexity and simple heuristic for m-machine flow shop problem with delays and release times
SHI Ling.Complexity and simple heuristic for m-machine flow shop problem with delays and release times[J].Journal of Southwest Nationalities College(Natural Science Edition),2003,29(3):258-263.
Authors:SHI Ling
Abstract:Considering m-machine flow-shop problem with delays and release times, we use 3-Partition to prove that the F2RD problem is NP-hard in the strong sense, and then we introduce a simple heuristic and prove that the worst-case performance is (m+1)/2. At last, we give an example to show the bound is tight. Specially, when m =2, the worst-case performance is 3/2, the bound is tight, too.
Keywords:flow-shop problem  delays  release times  3-Partition  NP-hard
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