An improved branch-and-bound algorithm for the two machine total completion time flow shop problem

被引:77
作者
Della Croce, F [1 ]
Ghirardi, M [1 ]
Tadei, R [1 ]
机构
[1] Politecn Torino, DAI, I-10129 Turin, Italy
关键词
flow shop scheduling; branch-and-bound; Lagrangean relaxation;
D O I
10.1016/S0377-2217(01)00374-5
中图分类号
C93 [管理学];
学科分类号
12 ; 1201 ; 1202 ; 120202 ;
摘要
We consider the two machine total completion time flow shop scheduling problem. This problem is known to be NP-Hard in the strong sense. An improved Lagrangean relaxation approach is proposed. Two new dominance criteria are introduced to curtail the enumeration tree. A branch-and-bound algorithm capable of solving to optimality medium size problem instances is presented. (C) 2002 Elsevier Science B.V. All rights reserved.
引用
收藏
页码:293 / 301
页数:9
相关论文
共 11 条
[1]  
Cadambi B. V., 1993, Opsearch, V30, P35
[2]  
Conway R.W., 1967, Theory of Scheduling
[3]   GENERALIZED PAIRWISE INTERCHANGES AND MACHINE SCHEDULING [J].
DELLACROCE, F .
EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 1995, 83 (02) :310-319
[4]   The two-machine total completion time flow shop problem [J].
DellaCroce, F ;
Narayan, V ;
Tadei, R .
EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 1996, 90 (02) :227-237
[5]  
Garey M. R., 1976, Mathematics of Operations Research, V1, P117, DOI 10.1287/moor.1.2.117
[6]  
Graham R. L., 1979, Discrete Optimisation, P287
[7]   STRONGER LAGRANGIAN BOUNDS BY USE OF SLACK VARIABLES - APPLICATIONS TO MACHINE SCHEDULING PROBLEMS [J].
HOOGEVEEN, JA ;
VANDEVELDE, SL .
MATHEMATICAL PROGRAMMING, 1995, 70 (02) :173-190
[8]   Minimizing total completion time in a two-machine flowshop: Analysis of special cases [J].
Hoogeveen, JA ;
Kawaguchi, T .
MATHEMATICS OF OPERATIONS RESEARCH, 1999, 24 (04) :887-910
[9]   APPLICATION OF BRANCH AND BOUND TECHNIQUE TO SOME FLOW-SHOP SCHEDULING PROBLEMS [J].
IGNALL, E ;
SCHRAGE, L .
OPERATIONS RESEARCH, 1965, 13 (03) :400-&
[10]  
van de Velde S. L., 1990, Annals of Operations Research, V26, P257