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带有链优先序的分批排序问题 被引量:6

Scheduling a Batching Machine with Chain Precedence Constraints
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摘要 本文首次就带有优先序的分批排序问题进行了讨论,目标函数为最大完工时间.当优先序为链,一条链上的工件个数为n,而其它链的工件个数为常数,分批的容量B大于等于链的条数,在这种情况下,问题为多项式可解的.文中并讨论了几种特殊情况的多项式算法. In this paper, we first study the problem of scheduling jobs with chain precedence constraints on a batching machine to minimize makespan. We present a polynomial algorithm for such a problem, where n jobs in one chain, a constant number of jobs in the other chains. We also give some polynomial algorithms for several special cases.
作者 邹娟 张玉忠
出处 《应用数学与计算数学学报》 2006年第1期19-25,共7页 Communication on Applied Mathematics and Computation
关键词 排序 批处理机 优先约束 算法复杂性 scheduling, a batching machine, precedence constraints, the complexity of algorithm
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参考文献7

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  • 7Papadimitrion C.H, Steiglitz K. Combinatorial Optimization: Algorithms and Complexity.New Jersey: Prentice-Hall Inc, 1982, 298.

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