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线性加工时间的成组排序问题 被引量:1

Scheduling Problem with Linear Processing Times under Group Technology Assumption
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摘要 本文讨论了一类线性加工时间的成组排序问题,考虑了各工件的加工时间是其开工时间的线性增加函数,同组工件之间连续加工时没有安装时间,各组间工件连续加工时有与顺序无关的安装时间,同组工件必须连续加工.目标函数为极小化最大完工时间和总完工时间.基于对问题的分析,给出了多项式算法. This paper consider the scheduling problem with linear processing times under group technology assumption. In this paper,jobs processing time is a linear increasing function of its starting time.No setup time is required between jobs of the same group but there are sequence- independent group setup times between jobs from different groups.The objective is to minimize makespan. Based upon the analysis of the problem, the optimal algorithm is presented.
作者 孙丽
出处 《吉林师范大学学报(自然科学版)》 2008年第3期141-143,共3页 Journal of Jilin Normal University:Natural Science Edition
关键词 线性加工时间 成组排序 时间表长 总完工时间 linear processing times group schedule makespan total completion time
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参考文献4

  • 1Mosheiov, G. Scheduling jobs under simple linear deterioration[ J]. Comput Oper. Res, 1994,21 (6) :653 - 659.
  • 2Gao AX, Wang JB.Single machine scheduling with deteriorating jobs under the group technology assumption[J]. International Journal of Pure and Applied Mathematics, 2005,18(2) :225 - 31.
  • 3Xu F, Guo AX, Wang JB, Shan F. Single machine scheduling problem with linear deterioration under group technology[J]. International Journal of Pure and Applied Mathematics, forthcoming.
  • 4Wang JB, Guo AX, Shah F, Jiang B, Wang LY. Single machine group scheduling under decreasing linear deterioration[ J ]. Journal of Applied Mathematics and Computing, forcoming.

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