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有限制条件的单台机器的排序问题
引用本文:唐保祥.有限制条件的单台机器的排序问题[J].西北师范大学学报,2000,36(4):22-26.
作者姓名:唐保祥
作者单位:天水师范学院数学系!甘肃天水741001
摘    要:根据给定n个工件在一台机器上加工时工件间的先后关系 ,定义了一个n个顶点的有向图D ,简化图D得排序图D ,通过穷举图D 的顶点的拓扑序列 ,搜索出了n个工件完工时间之和最小、机器加工完n个工件总时间最少和延误损失最少的加工顺序 .

关 键 词:有向图  前代  后代  最长路  排序图  拓扑序列

The sequencing problem of one machine with limited conditions
TANG Bao-xiang.The sequencing problem of one machine with limited conditions[J].Journal of Northwest Normal University Natural Science (Bimonthly),2000,36(4):22-26.
Authors:TANG Bao-xiang
Abstract:A directed graph D with n vertexes is defined according to the sequence of n given spare parts that are processed on one machine.When the graph D is simplified,a sequencing graph D * is obtained.By wholly enumerating the topological sequence of vertexes of graph D * ,we can hunt the processing sequence that the sum of the time that n spare sparts complete processing is the least,the sum of the time that the machine completes n spare parts is the least and the loss because of delay is the least.
Keywords:directed graph  last generation  next generatiom  longest path  sequencing graph  toplogical sequence
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