Generating efficient schedules for identical parallel machines involving flow-time and tardy jobs

被引:12
作者
Gupta, JND [1 ]
Ruiz-Torres, AJ
机构
[1] Univ Alabama, Coll Adm Sci, Huntsville, AL 35899 USA
[2] Polytech Univ Puerto Rico, Dept Ind Engn, San Juan, PR 00919 USA
关键词
parallel machine scheduling; bi-criteria; Pareto optima; non-dominated (efficient) schedules; tardy jobs; flow-time; heuristic algorithms; empirical results;
D O I
10.1016/j.ejor.2004.07.015
中图分类号
C93 [管理学];
学科分类号
12 ; 1201 ; 1202 ; 120202 ;
摘要
This paper considers the problem of generating a set of efficient (non-dominated) schedules on identical parallel machines involving total flow-time and total number of tardy jobs. In view of the NP-hard nature of this problem, heuristic algorithms are proposed for its solution. Two evaluation methods that provide a scheme by which multiple non-dominated sets can be compared are described and used to compare the performance of the proposed algorithms. Results of several experiments demonstrate the capability of the proposed algorithms and evaluation methodologies to address the problem at hand. (C) 2004 Elsevier B.V. All rights reserved.
引用
收藏
页码:679 / 695
页数:17
相关论文
共 19 条
[1]  
Chen B, 1998, Handbook of combinatorial optimization, P1493, DOI [DOI 10.1007/978-1-4613-0303-9_25, 10.1007/978-1-4613-0303-9_25]
[2]   COMPLEXITY OF SINGLE-MACHINE, MULTICRITERIA SCHEDULING PROBLEMS [J].
CHEN, CL ;
BULFIN, RL .
EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 1993, 70 (01) :115-125
[3]   Solving parallel machine scheduling problems by column generation [J].
Chen, ZL ;
Powell, WB .
INFORMS JOURNAL ON COMPUTING, 1999, 11 (01) :78-94
[4]  
Conway R.W., 1967, Theory of Scheduling
[5]  
ENGRAND P, 1997, P ICONE NIC FRANC, V5, P1
[6]  
Garey M. R., 1975, SIAM Journal on Computing, V4, P397, DOI 10.1137/0204035
[7]   Minimizing maximum tardiness and number of tardy jobs on parallel machines subject to minimum flow-time [J].
Gupta, JND ;
Ruiz-Torres, AJ ;
Webster, S .
JOURNAL OF THE OPERATIONAL RESEARCH SOCIETY, 2003, 54 (12) :1263-1274
[8]   MINIMIZING THE NUMBER OF TARDY JOBS FOR M-PARALLEL MACHINES [J].
HO, JC ;
CHANG, YL .
EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 1995, 84 (02) :343-355
[9]   OPTIMIZATION BY SIMULATED ANNEALING [J].
KIRKPATRICK, S ;
GELATT, CD ;
VECCHI, MP .
SCIENCE, 1983, 220 (4598) :671-680
[10]  
Lee C. Y., 1993, Complexity in numerical optimization, P269