Minimizing the expected number of tardy jobs when processing times are normally distributed

被引:21
作者
Jang, WS [1 ]
Klein, CM [1 ]
机构
[1] Univ Missouri, Dept Ind & Mfg Syst Engn, Columbia, MO 65211 USA
关键词
stochastic scheduling; single machine; tardy jobs; heuristic;
D O I
10.1016/S0167-6377(02)00110-4
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 studies the single machine scheduling problem for the purpose of minimizing the expected number of tardy jobs, The effect of variance of processing time is evaluated. and a dynamic policy based on a myopic approach is developed. The conditions for the optimality and the worst case analysis are provided. (C) 2002 Elsevier Science B.V. All rights reserved.
引用
收藏
页码:100 / 106
页数:7
相关论文
共 14 条
[1]  
Balut S. J., 1973, Management Science, V19, P1283, DOI 10.1287/mnsc.19.11.1283
[2]   Bounds on optimal values in stochastic scheduling [J].
Birge, JR ;
Glazebrook, KD .
OPERATIONS RESEARCH LETTERS, 1997, 21 (03) :107-114
[3]   MINIMIZING THE EXPECTED WEIGHTED NUMBER OF TARDY JOBS IN STOCHASTIC FLOW SHOPS [J].
BOXMA, OJ ;
FORST, FG .
OPERATIONS RESEARCH LETTERS, 1986, 5 (03) :119-126
[4]  
Cai X, 1997, NAV RES LOG, V44, P531, DOI 10.1002/(SICI)1520-6750(199709)44:6<531::AID-NAV2>3.0.CO
[5]  
2-4
[6]   REARRANGEMENT, MAJORIZATION AND STOCHASTIC SCHEDULING [J].
CHANG, CS ;
YAO, DD .
MATHEMATICS OF OPERATIONS RESEARCH, 1993, 18 (03) :658-684
[7]   ON THE MINIMIZATION OF THE WEIGHTED NUMBER OF TARDY JOBS WITH RANDOM PROCESSING TIMES AND DEADLINE [J].
DE, P ;
GHOSH, JB ;
WELLS, CE .
COMPUTERS & OPERATIONS RESEARCH, 1991, 18 (05) :457-463
[8]  
Du J, 1990, MATH OPER RES, V3, P483
[9]  
KARP R. M., 1972, COMPLEXITY COMPUTER, P85, DOI DOI 10.1007/978-1-4684-2001-2_9
[10]   ON BALUT ALGORITHM AND NP-COMPLETENESS FOR A CHANCE-CONSTRAINED SCHEDULING PROBLEM [J].
KISE, H ;
IBARAKI, T .
MANAGEMENT SCIENCE, 1983, 29 (03) :384-388