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工件有尺寸且分两批到达的单机分批排序 被引量:7

Scheduling On a Single Batch Processing Machine with Non-identical Job Sizes and Two Release Times
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摘要 本文首次研究了工件有尺寸大小,有到达时间的分批排序问题,这里目标函数为工件的极大完工时间.就所有工件有两个到达时间的且工件加工时间与尺寸大小一致的排序给出算法,并证明了算法的性能比不超过33/14. In this paper, we firstly consider the problem of minimizing the maximum completed time on a single batch processing machine if the jobs have different processing times and sizes. We provide an algorithm for the special case in which the lobs have two release times and prove that its worst case ratio is not more than 33/14.
出处 《运筹学学报》 CSCD 北大核心 2006年第4期99-105,共7页 Operations Research Transactions
基金 国家自然科学基金:10671108 山东省自然科学基金:Y2005A04
关键词 运筹学 分批排序 离线算法 性能比 Operations research, batching scheduling, off-line algorithm, wrost case ratio
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参考文献8

  • 1Uzsoy,R.Scheduling a single batch processing machine with non-idengtical job sizes.International Journal of Production Research,1994,32:1615~1635.
  • 2Guochuan Zhang,Xiaoqiang Cai,C.K.Wong.Minimizing makespan on a single batch processing machine with nonidentical job sizes.Naval Research Logistics,2001,48:222~240.
  • 3Guochuan Zhang,Xiaoqiang Cai,C.K.Wong.On-line Algorithms for minimizing makespan on batch processing machines.Naval Research Logistics,2001,48:241~259.
  • 4Deng Xiaotie,Chung Keung Poon and Zhang Yuzhong.Approximation algorithms in batch processing.Journal of Combinatorial Optimization,2003,7(3):247~257.
  • 5Deng Xiaotie,Feng Haodi,Zhang Pixing,Zhang Yuzhong.Minimizing mean completion time in a batch processing system.Algorithmica,2004,38(4):513~528
  • 6Liu Zhaohui,Yu Wenci.Scheduling one batch processor subject to job release dates.Discrete Applied Mathematics,2000,105:129~136.
  • 7张玉忠,王忠志,王长钰.分批排序的“转换引理”及其应用[J].系统科学与数学,2002,22(3):328-333. 被引量:14
  • 8柏庆国,张玉忠.有尺寸的单机在线分批排序.中国运筹学会第七届学术交流会论文集,Globallink出版社(香港),2004,10,744~749.

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