Single machine stochastic scheduling to minimize the expected number of tardy jobs using mathematical programming models

被引:45
作者
Seo, DK [1 ]
Klein, CA [1 ]
Jang, W [1 ]
机构
[1] Univ Missouri, Dept Ind & Mfg Syst Engn, Columbia, MO 65211 USA
关键词
stochastic scheduling; single machine; tardy jobs; non-linear programming;
D O I
10.1016/j.cie.2005.01.002
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
This paper studies the single machine scheduling problem for the objective of minimizing the expected number of tardy jobs. Jobs have normally distributed processing times and a common deterministic due date. We develop new approaches for this problem that generate near optimal solutions. The original stochastic problem is transformed into a non-linear integer programming model and its relaxations. Computational study validates their effectiveness by comparison with optimal solutions. (c) 2005 Published by Elsevier Ltd.
引用
收藏
页码:153 / 161
页数:9
相关论文
共 15 条
[1]  
Balut S. J., 1973, Management Science, V19, P1283, DOI 10.1287/mnsc.19.11.1283
[2]   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
[3]  
Cai X, 1997, NAV RES LOG, V44, P531, DOI 10.1002/(SICI)1520-6750(199709)44:6<531::AID-NAV2>3.0.CO
[4]  
2-4
[5]   REARRANGEMENT, MAJORIZATION AND STOCHASTIC SCHEDULING [J].
CHANG, CS ;
YAO, DD .
MATHEMATICS OF OPERATIONS RESEARCH, 1993, 18 (03) :658-684
[6]   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
[7]   Dynamic scheduling of stochastic jobs on a single machine [J].
Jang, WS .
EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 2002, 138 (03) :518-530
[8]   ON BALUT ALGORITHM AND NP-COMPLETENESS FOR A CHANCE-CONSTRAINED SCHEDULING PROBLEM [J].
KISE, H ;
IBARAKI, T .
MANAGEMENT SCIENCE, 1983, 29 (03) :384-388
[9]   SINGLE-MACHINE STOCHASTIC SCHEDULING WITH DUAL CRITERIA [J].
LIN, CS ;
LEE, CY .
IIE TRANSACTIONS, 1995, 27 (02) :244-249
[10]  
Murty KG, 1983, LINEAR PROGRAMMING