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  • 标题:Minimization of maximum lateness with equal processing times for single machine ∗ ∗ Supported by RFBR-RZD grant 13-08-13190
  • 本地全文:下载
  • 作者:Alexander A. Lazarev ; Alexander A. Lazarev ; Dmitry I. Arkhipov
  • 期刊名称:IFAC PapersOnLine
  • 印刷版ISSN:2405-8963
  • 出版年度:2015
  • 卷号:48
  • 期号:3
  • 页码:806-809
  • DOI:10.1016/j.ifacol.2015.06.182
  • 语种:English
  • 出版社:Elsevier
  • 摘要:Abstract The following case of the classical NP-hard scheduling problem is considered. There is a set of jobs N with identical processing times p = const. All jobs have to be processed on a single machine. The objective function is minimization of maximum lateness. We analyze algorithms for the makespan problem, presented by Garey et al. (1981) and Simons (1978) and represent two polynomial algorithms to solve the problem and to construct the Pareto set with respect to criteria Lmax and C max. The complexity of presented algorithms equals O(Q n log n) and O(n 2 log n), where 10-Q is the accuracy of the input-output parameters.
  • 关键词:Keywordsschedulingunit-time jobspolynomial algorithmsdynamic programming
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