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带工件相容约束的单机分批排序问题
引用本文:张群发,林诒勋.带工件相容约束的单机分批排序问题[J].数学季刊,2007,22(4):597-601.
作者姓名:张群发  林诒勋
作者单位:1.Research Center of Fictitious Economy and Management,Nankai University,Tianjin 300071;2. Department of Mathematics,Zhengzhou University,ghengzhou 450052
基金项目:Acknowledgement The authors would like to express their gratitude to Prof Lin Yixun and the referee for their solicitude.
摘    要:The single machine parallel batch problem with job compatibility is considered to minimize makespan,where the job compatibility constraints are represented by a graph G.This problem is proved to be NP-hard.And when the graph G is limited to be a general bipartite,a complete bipartite and a complete m-partite graph,these problems are solved in polynomial time respectively.

关 键 词:批调度问题  定量  相容性  约束
文章编号:1002-0462(2007)04-0597-05
收稿时间:2004-07-03
修稿时间:2004年7月3日

The Single Machine Parallel Batch Scheduling Problem with Job Compatibility Constraints
ZHANG Qun-fa,LIN Yi-xun.The Single Machine Parallel Batch Scheduling Problem with Job Compatibility Constraints[J].Chinese Quarterly Journal of Mathematics,2007,22(4):597-601.
Authors:ZHANG Qun-fa  LIN Yi-xun
Abstract:The single machine parallel batch problem with job compatibility is considered to minimize makespan,where the job compatibility constraints are represented by a graph G.This problem is proved to be NP-hard.And when the graph G is limited to be a general bipartite,a complete bipartite and a complete m-partite graph,these problems are solved in polynomial time respectively.
Keywords:scheduling  batching  makespan  compatibility
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