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一类资源分配与排序问题 被引量:2

One Kind of Problems on Resource Constrained Scheduling
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摘要 给出与研究1 rj=bj-ajuj,∑uj U-∑uj+Cm ax型资源分配与排序问题.对于系统中加工顺序确定的情况给出并证明一个寻求其最优资源分配的多项式算法;就系统参量的某些特殊情况研究系统的最优排序. In this paper, we put forward and discuss the following resource constrained scheduling systems 1|rj=bj-ajuj,∑uj≤U|∑uj+Cmax Under the situation of a finite task permutation with the system, one algorithms for exploring optimal resource allocation is given and proven; and on some special conditions such as aj= a,pj = p ^-u = ^-u, the study of optimal schedules with the system is made.
出处 《数学的实践与认识》 CSCD 北大核心 2006年第1期62-69,共8页 Mathematics in Practice and Theory
关键词 最优资源分配 最优排序 排序问题 系统参量 多项式算法 加工顺序 single machine task completion time resource allocation optimal schedule
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参考文献5

  • 1Blazewicz J, Ecker K, Schmidt K. Scheduling in Computer and Manufacturing Systems[M]. Berling, Springer-Verlag, 1993.
  • 2Janiak A. Single machine sequencing with liner models of jobs subject to precedence constaints[J]. Archiwum Aut iTelem, 1988, 33:203-210.
  • 3Janiak A. Single machine scheduling problem with a common deadline and resource dependent release dates[J].European J Oper Res, 1991, 535 317-325.
  • 4程丛电,唐恒永,程从沈.一类资源约束排序问题[J].数学的实践与认识,2003,33(10):33-40. 被引量:5
  • 5程丛电,唐恒永,张丽华.加权总完工时间有限的受资源约束排序问题[J].系统工程理论方法应用,2002,11(2):131-135. 被引量:5

二级参考文献5

  • 1[1]Blazewicz J, Ecker K, Schmidt G, Weglare J. Scheduling in computer and manufacturing systems[M]. Berling: Springer-Verlag,1993.
  • 2[2]Janiak A. Single machine scheduling problem with a common deadline and resource dependent release dates[J]. European J Oper Res.,53,1991.317-325.
  • 3Blazewicz J, Ecker K, Schmidt G. Scheduling in Computer and Manufacturing Systems[M]. Berllng: Springer-Verlag, 1993.
  • 4Janiak A. Dokladne 1 przyblizone algorytmy szeregowania zadan 1 rozdzialu zasobow w dyskretnych procesach przemyslowych[C]. Prate Naukowe lnstytutu Cybemetyki Technicznej Politechniki Wroclawskiej 87, Monografie 20, Wroclaw, 1991.
  • 5Janiak A. Single machine scheduling problem with a common deadline and resource dependent release dates[J].European J Oper Res, 1991, 53: 317--325.

共引文献6

同被引文献2

  • 1胡运权.运筹学基础与应用[M].北京:高等教育出版社,2004.
  • 2徐玖平,胡知能等.运筹学[M].北京:科学出版社,2004.

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