An improved earliness-tardiness timing algorithm

被引:37
作者
Hendel, Yann [1 ]
Sourd, Francis [1 ]
机构
[1] LIP6, UMR7606, F-75015 Paris, France
关键词
scheduling; earliness-tardiness; timing algorithm;
D O I
10.1016/j.cor.2005.11.004
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
Earliness-tardiness criteria with distinct due dates usually induce NP-complete problems. Researchers have focused on particular cases like the timing problem, which is to look for the optimal schedule when the jobs sequence is already known. These timing algorithms are very useful since they can be used in more complex procedures. In the first part of this paper we provide the most efficient and fairly general algorithm to solve the one-machine timing problem. It is then adapted to a permutation flow shop problem. (c) 2005 Elsevier Ltd. All rights reserved.
引用
收藏
页码:2931 / 2938
页数:8
相关论文
共 19 条
[1]   A fast scaling algorithm for minimizing separable convex functions subject to chain constraints [J].
Ahuja, RK ;
Orlin, JB .
OPERATIONS RESEARCH, 2001, 49 (05) :784-789
[2]  
BAUMAN J, 2005, IN PRESS COMPUTERS O
[3]   ISOTONIC MEDIAN REGRESSION - A LINEAR-PROGRAMMING APPROACH [J].
CHAKRAVARTI, N .
MATHEMATICS OF OPERATIONS RESEARCH, 1989, 14 (02) :303-308
[4]   PERT scheduling with convex cost functions [J].
Chrétienne, P ;
Sourd, F .
THEORETICAL COMPUTER SCIENCE, 2003, 292 (01) :145-164
[5]   An algorithm for insertion of idle time in the single-machine scheduling problem with convex cost functions [J].
Colin, EC ;
Quinino, RC .
COMPUTERS & OPERATIONS RESEARCH, 2005, 32 (09) :2285-2296
[6]  
DAVIS JS, 1993, NAV RES LOG, V40, P85, DOI 10.1002/1520-6750(199302)40:1<85::AID-NAV3220400106>3.0.CO
[7]  
2-C
[8]   Optimal idle time insertion in early-tardy parallel machines scheduling with precedence constraints [J].
Della Croce, F ;
Trubian, M .
PRODUCTION PLANNING & CONTROL, 2002, 13 (02) :133-142
[9]   ONE-PROCESSOR SCHEDULING WITH SYMMETRIC EARLINESS AND TARDINESS PENALTIES [J].
GAREY, MR ;
TARJAN, RE ;
WILFONG, GT .
MATHEMATICS OF OPERATIONS RESEARCH, 1988, 13 (02) :330-348
[10]  
HENDEL Y, EUROPEAN J OPERATION