Preemptive job-shop scheduling problems with a fixed number of jobs

被引:0
作者
Brucker, P [1 ]
Kravchenko, SA
Sotskov, YN
机构
[1] Univ Osnabruck, Fachbereich Math Informat, D-49069 Osnabruck, Germany
[2] Inst Engn Cybernet, Minsk 220012, BELARUS
关键词
job-shop problem; scheduling; NP-hard;
D O I
暂无
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
It is shown that the two machine preemptive job-shop problem with mean flow-time or makespan objective function and three jobs is NP-hard. This contrasts the fact that the nonpreemptive versions of these problems are polynomially solvable if the number of jobs is arbitrary but fixed. It is also shown that the preemptive problems can be solved pseudopolynomially if both the number of machines and the number of jobs is fixed.
引用
收藏
页码:41 / 76
页数:36
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