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线性加工时间的成组排序问题
引用本文:孙丽. 线性加工时间的成组排序问题[J]. 松辽学刊, 2008, 29(3): 141-143
作者姓名:孙丽
作者单位:兰州大学数学与统计学院,兰州730000
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.

关 键 词:线性加工时间  成组排序  时间表长  总完工时间

Scheduling Problem with Linear Processing Times under Group Technology Assumption
SUN Li. Scheduling Problem with Linear Processing Times under Group Technology Assumption[J]. Songliao Journal (Natural Science Edition), 2008, 29(3): 141-143
Authors:SUN Li
Affiliation:SUN Li (College of Mathematics and Statistics, Lanzhou University, LanZhou 730000, China)
Abstract: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.
Keywords:linear processing times  group schedule  makespan  total completion time
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