List scheduling in a parallel machine environment with precedence constraints and setup times

被引:45
作者
Hurink, J
Knust, S
机构
[1] Univ Twente, Fac Math Sci, NL-7500 AE Enschede, Netherlands
[2] Univ Osnabruck, Fachbereich Math Informat, D-49069 Osnabruck, Germany
关键词
scheduling; list scheduling; complexity; parallel machines; setup times;
D O I
10.1016/S0167-6377(01)00104-3
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 present complexity results which have influence on the strength of list scheduling in a parallel machine environment where additional precedence constraints and sequence-dependent setup times are given and the makespan has to be minimized. We show that contrary to various other scheduling problems, in this environment a set of dominant schedules cannot be calculated efficiently with list scheduling techniques. (C) 2002 Elsevier Science B.V. All rights reserved.
引用
收藏
页码:231 / 239
页数:9
相关论文
共 11 条
[1]  
Baker KR., 1974, Introduction to Sequencing and Scheduling
[2]   An exact method for solving the multi-processor flow-shop [J].
Carlier, J ;
Néron, E .
RAIRO-RECHERCHE OPERATIONNELLE-OPERATIONS RESEARCH, 2000, 34 (01) :1-25
[3]  
Graham R. L., 1979, Discrete Optimisation, P287
[4]   BOUNDS ON MULTIPROCESSING TIMING ANOMALIES [J].
GRAHAM, RL .
SIAM JOURNAL ON APPLIED MATHEMATICS, 1969, 17 (02) :416-&
[5]   ON THE COMPLEXITY OF SCHEDULING WITH BATCH SETUP TIMES [J].
MONMA, CL ;
POTTS, CN .
OPERATIONS RESEARCH, 1989, 37 (05) :798-804
[6]  
PINEDO M, 1999, OPERATIONS SCHEDULIN
[7]   List scheduling revisited [J].
Schutten, JMJ .
OPERATIONS RESEARCH LETTERS, 1996, 18 (04) :167-170
[8]   Parallel machine scheduling with release dates, due dates and family setup times [J].
Schutten, JMJ ;
Leussink, RAM .
INTERNATIONAL JOURNAL OF PRODUCTION ECONOMICS, 1996, 46 :119-125
[9]  
Smith W., 1956, Naval Res. Logistics Q., V3, P59, DOI [DOI 10.1002/NAV.3800030106, 10.1002/nav.3800030106]
[10]   Multi-mode resource-constrained project scheduling by a simple, general and powerful sequencing algorithm [J].
Sprecher, A ;
Drexl, A .
EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 1998, 107 (02) :431-450