List scheduling revisited

被引:37
作者
Schutten, JMJ
机构
[1] Faculty of Mechanical Engineering, University of Twente, 7500 AE Enschede
关键词
scheduling; list scheduling; parallel machines; setup times; regular cost functions;
D O I
10.1016/0167-6377(95)00057-7
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
We consider the problem of scheduling n jobs on nz identical parallel machines to minimize a regular cost function. The standard list scheduling algorithm converts a list into a feasible schedule by focusing on the job start times. We prove that list schedules are dominant for this type of problem. Furthermore, we prove that an alternative list scheduling algorithm, focusing on the completion times rather than the start times, yields also dominant list schedules for problems with sequence dependent setup times.
引用
收藏
页码:167 / 170
页数:4
相关论文
共 8 条
[1]  
Baker KR., 1974, Introduction to Sequencing and Scheduling
[2]   BOUNDS FOR LIST SCHEDULES ON UNIFORM PROCESSORS [J].
CHO, Y ;
SAHNI, S .
SIAM JOURNAL ON COMPUTING, 1980, 9 (01) :91-103
[3]  
Elmaghraby E. S., 1974, AIIE T, V6, P1, DOI DOI 10.1080/05695557408974926
[4]  
Graham R. L., 1979, Discrete Optimisation, P287
[5]   BOUNDS ON MULTIPROCESSING TIMING ANOMALIES [J].
GRAHAM, RL .
SIAM JOURNAL ON APPLIED MATHEMATICS, 1969, 17 (02) :416-&
[6]   WORST-CASE ERROR-BOUNDS FOR PARALLEL MACHINE SCHEDULING PROBLEMS WITH BOUNDED SEQUENCE-DEPENDENT SETUP TIMES [J].
OVACIK, IM ;
UZSOY, R .
OPERATIONS RESEARCH LETTERS, 1993, 14 (05) :251-256
[7]  
SCHUTTEN JMJ, 1996, IN PRESS INT J PROD
[8]  
WOERLEE AP, 1991, THESIS ERASMUS U ROT