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加工时间离散可控的分批排序问题 被引量:3

Batch Scheduling with Discretely Controllable Processing Times
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摘要 分批排序和可控排序是两类重要的现代排序模型,该文中把这两类排序模型相结合,讨论加工时间离散可控的单机分批排序问题:对于所有工件具有相同的可控加工时间和控制费用这一情形,分别考虑机器容量有限及无限两种情况下,分别使最大完工时间和总完工时间加上加工时间可控所需费用的总和为最小作为优化的目标,讨论了这四个问题的最优解的性质,并在此基础上提出了相应的多项式时间最优算法. Batch Scheduling and Controllable Scheduling are two important Scheduling models. This paper combines these two models, studys scheduling a batching machine with discretely controllable processing times. When all jobs are of the same controllable processing times and costs, problems to minimize the makespan or the total completion time plus costs of controlling the processing times are discussed when batch capacity is bounded or unbound- ed, respectively. Properties of optimal scheduling are analyzed and four polynomial time optimal algorithms are presented.
作者 王磊 张玉忠
出处 《曲阜师范大学学报(自然科学版)》 CAS 2008年第3期37-41,共5页 Journal of Qufu Normal University(Natural Science)
基金 国家自然科学基金(10671108) 山东省自然科学基金(Y2005A04)
关键词 分批排序 离散可控 最大完工时间 总完工时间 batch scheduling discretely controllable makespan total completion time
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参考文献8

  • 1唐国春等著..现代排序论[M].上海:上海科学普及出版社,2003:352.
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二级参考文献15

  • 1Zhaohui Liu, Wenci Yu. Scheduling one batch processor subject to job release dates [ J ]. Discrete Applied Mathematics,2000, 105: 129~136. 被引量:1
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  • 7Zhaohui Liu, et al. On scheduling an unbounded batch machine [J]. Operations Research Letters, 2003, 31:42 ~ 48. 被引量:1
  • 8Lawler E L, Moore J M. A functional equation and its application to resource allocation and sequencing problems[J]. Man. Sci.,1969,16: 77-84. 被引量:1
  • 9Vickson R G Two single machine sequencing problems involving controllable job processing times[J]. Institute of Industrial Enginerrs Transactions, 1980,12: 258-262. 被引量:1
  • 10Chen Zhi-long, Lu Qing, Tang Guo-chun. Single machine scheduling with discretely controllable processing times[J]. Oper. Res.Lett., 1997,21: 69-76. 被引量:1

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