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一种极小化∑w_jC_j的分批排序问题的算法 被引量:2

An Algorithm of Minimizing the Total Weighted Completed Time on Batch Processing Machine
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摘要 讨论了单机分批排序问题中目标是极小化加权总完工时间的问题.对于所有工件的加工时间都相等的情况,分别对常数个到达时间和任意个到达时间的情况给出了两个最优算法,并给出了其算法复杂性. The problem of minimizing the total weighted completed time on single batch processing machine is studied. For the case of all jobs with constant processing time, corresponding to the case when there are only a constant number of job release times and the general released case, we provide two optimal algorithms and analysis their algorithm complexity.
出处 《洛阳大学学报》 2006年第4期43-45,共3页 Journal of Luoyang University
基金 国家自然科学基金资助项目(项目编号:10671108) 山东省自然科学基金资助项目(项目编号:Y2005A04)
关键词 分批排序 到达时间 极小化加权总完工时间 最优算法 batch Scheduling release times the iotal weighted completed time optimal algorithm
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参考文献5

  • 1Chandru V,Lee C Y,Uzsoy R.Minimizing the totle completion time on batch processing machine[J].International Journal of Production Research,1993,31:2097-2121.
  • 2Brucker P,Gladky A,Hoogeveen H,Kovalyov M Y,Potts C N,Tautenhahn T and van de Velde S L.Scheduling a batching machine[J].Journal of Scheduling,1998,1:31-54.
  • 3Deng X T,Zhang Y Z.Minimizing mean response time in batch processing system[J].Lecture Notes in Comput Sci,1999,1627:231-240
  • 4丁际环,刘丽丽,姜宝山,张玉忠.1|B,r_j∈{0,r}|ΣC_j问题的复杂性及近似算法[J].曲阜师范大学学报(自然科学版),2000,26(4):19-21. 被引量:12
  • 5苗翠霞,张玉忠.极小化加权总完工时间的分批排序问题[J].运筹学学报,2005,9(2):82-86. 被引量:19

二级参考文献9

  • 1Brucker P, Gladky A, Hoogevreen H, et al. VandeVele Scheduling a batching machine. Journal of Scheduling, 1998, 1: 31~54.
  • 2Chandru V, Lee C Y, Uzsoy R. Minimizing the totle completion time on batch processing machine. International Journal of Production Research, 1993, 31:2097~2121.
  • 3Deng X T, Zhang Y Z. Minimizing mean Response time in batch processing. Algorithmica,2004 (to appear).
  • 4BruckerP,GladkyA,HoogevreenH,etal.VandeVeldeSchedulingabatchingmachine[J].JournalofScheduling,1998,(1):31~54.
  • 5ChandruV,LeeCY,UzsoyR.Minimizingthetotalcompletiontimeonbatchprocessingmachine[J].InternationalJournalofProductionResearch,1993,31:2097~2121.
  • 6ChandruV,LeeCY,UzsoyR.Minimizingthetotalcompletiontimeonabatchprocessingmachinewithjobfamilies[J].OperationsResearchLetters,1993,13:61~65.
  • 7DengXT,ZhangYZ.MinimizingmeanResponsetimeinbatchprocessingsystem(toappear).
  • 8丁际环,刘丽丽,姜宝山,张玉忠.1|B,r_j∈{0,r}|ΣC_j问题的复杂性及近似算法[J].曲阜师范大学学报(自然科学版),2000,26(4):19-21. 被引量:12
  • 9张玉忠,苗翠霞.复制法及其在分批排序问题中的应用[J].曲阜师范大学学报(自然科学版),2004,30(2):41-43. 被引量:19

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