Single machine scheduling with learning effect considerations

被引:278
作者
Cheng, TCE [1 ]
Wang, GQ
机构
[1] Hong Kong Polytech Univ, Dept Management, Kowloon, Hong Kong, Peoples R China
[2] Hong Kong Polytech Univ, Dept Management, Kowloon, Hong Kong, Peoples R China
[3] Jinan Univ, Dept Business Adm, Guangzhou, Peoples R China
关键词
scheduling; sequencing; learning;
D O I
10.1023/A:1019216726076
中图分类号
C93 [管理学]; O22 [运筹学];
学科分类号
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
摘要
In this paper we study a single machine scheduling problem in which the job processing times will decrease as a result of learning. A volume-dependent piecewise linear processing time function is used to model the learning effects. The objective is to minimize the maximum lateness. We first show that the problem is NP-hard in the strong sense and then identify two special cases which are polynomially solvable. We also propose two heuristics and analyse their worst-case performance.
引用
收藏
页码:273 / 290
页数:18
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