A heuristic algorithm for two-machine re-entrant shop scheduling

被引:27
作者
Drobouchevitch, IG [1 ]
Strusevich, VA [1 ]
机构
[1] Univ Greenwich, Sch Comp & Math Sci, London SE18 6PF, England
关键词
re-entrant shop scheduling; approximation algorithm; worst-case analysis;
D O I
10.1023/A:1018927407164
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
This paper considers the problem of sequencing n jobs in a two-machine re-entrant shop with the objective of minimizing the maximum completion time. The shop consists of two machines, M-1 and M-2 , and each job has the processing route (M-1 , M-2 , M-1 ). An O(n log n) time heuristic is presented which generates a schedule with length at most 4/3 times that of an optimal schedule, thereby improving the best previously available worst-case performance ratio of 3/2.
引用
收藏
页码:417 / 439
页数:23
相关论文
共 12 条
[1]   Approximation algorithms for two-machine flow shop scheduling with batch setup times [J].
Chen, B ;
Potts, CN ;
Strusevich, VA .
MATHEMATICAL PROGRAMMING, 1998, 82 (1-2) :255-271
[2]   A new heuristic for three-machine flow shop scheduling [J].
Chen, B ;
Glass, CA ;
Potts, CN ;
Strusevich, VA .
OPERATIONS RESEARCH, 1996, 44 (06) :891-898
[3]  
Garey M. R., 1976, Mathematics of Operations Research, V1, P117, DOI 10.1287/moor.1.2.117
[4]  
GONZALEZ T, 1976, J ACM, V23, P665, DOI 10.1145/321978.321985
[5]   FLOW-SHOP AND JOB-SHOP SCHEDULES - COMPLEXITY AND APPROXIMATION [J].
GONZALEZ, T ;
SAHNI, S .
OPERATIONS RESEARCH, 1978, 26 (01) :36-52
[6]  
Johnson S.M., 1954, NAV RES LOG, V1, P61, DOI DOI 10.1002/NAV.3800010110
[7]  
LANE DE, 1991, OPER RES, V41, P1091
[8]  
Lawler E., 1993, HDB OPERATIONS RES M, V4, P455
[9]   V-SHOP SCHEDULING [J].
LEV, V ;
ADIRI, I .
EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 1984, 18 (01) :51-56
[10]   IMPROVED APPROXIMATION ALGORITHMS FOR SHOP SCHEDULING PROBLEMS [J].
SHMOYS, DB ;
STEIN, C ;
WEIN, J .
SIAM JOURNAL ON COMPUTING, 1994, 23 (03) :617-632