An exact method for solving the multi-processor flow-shop

被引:111
作者
Carlier, J [1 ]
Néron, E [1 ]
机构
[1] Univ Technol Compiegne, Ctr Rech Royallieu, UMR CNRS 6599 HEUDIASYC, F-60205 Compiegne, France
来源
RAIRO-RECHERCHE OPERATIONNELLE-OPERATIONS RESEARCH | 2000年 / 34卷 / 01期
关键词
branch and bound; multi-processor flow-shop; m-machine problems; inputs and selection;
D O I
10.1051/ro:2000103
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
The aim of this paper is to present a new branch and bound method for solving the Multi-Processor Flow-Shop. This method is based on the relaxation of the initial problem to m-machine problems corresponding to centers. Release dates and tails are associated with operations and machines. The branching scheme consists in fixing the inputs of a critical center and the lower bounds are those of the m-machine problem. Several techniques for adjusting release dates and tails have also been introduced. As shown by our personal study, the overall method is very efficient.
引用
收藏
页码:1 / 25
页数:25
相关论文
共 11 条
[1]  
BAPTISTE P, IN PRESS ANN OPER RE
[2]   BRANCH AND BOUND ALGORITHM FOR THE FLOW-SHOP WITH MULTIPLE PROCESSORS [J].
BRAH, SA ;
HUNSUCKER, JL .
EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 1991, 51 (01) :88-99
[3]  
CARLER J, 1984, THESIS MASI
[4]   Jackson's Pseudo Preemptive Schedule for the Pm/ri, qi/Cmax scheduling problem [J].
Carlier, J ;
Pinson, E .
ANNALS OF OPERATIONS RESEARCH, 1998, 83 (0) :41-58
[5]   A BRANCH-AND-BOUND PROCEDURE FOR THE MULTIPLE RESOURCE-CONSTRAINED PROJECT SCHEDULING PROBLEM [J].
DEMEULEMEESTER, E ;
HERROELEN, W .
MANAGEMENT SCIENCE, 1992, 38 (12) :1803-1818
[6]  
GUPTA JND, 1988, OPERATIONAL RES SOC, V4, P359
[7]  
PERREGAARD M, 1995, THESIS DATALOGISK I
[8]  
PORTMANN MC, 1998, EUROPEAN J OPER RES, V107, P339
[9]  
Sprecher A., 1994, LECT NOTES EC MATH S
[10]  
VANDEVELDE A, 1994, THESIS EINDHOVEN U T