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  • 标题:Online Scheduling on a Single Machine with Grouped Processing Times
  • 本地全文:下载
  • 作者:Qijia Liu ; Long Wan ; Lijun Wei
  • 期刊名称:Discrete Dynamics in Nature and Society
  • 印刷版ISSN:1026-0226
  • 电子版ISSN:1607-887X
  • 出版年度:2015
  • 卷号:2015
  • DOI:10.1155/2015/805294
  • 出版社:Hindawi Publishing Corporation
  • 摘要:We consider the online scheduling problem on a single machine with the assumption that all jobs have their processing times in , where and . All jobs arrive over time, and each job and its processing time become known at its arrival time. The jobs should be first processed on a single machine and then delivered by a vehicle to some customer. When the capacity of the vehicle is infinite, we provide an online algorithm with the best competitive ratio of . When the capacity of the vehicle is finite, that is, the vehicle can deliver at most c jobs at a time, we provide another best possible online algorithm with the competitive ratio of .
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