Single machine scheduling problems under the effects of nonlinear deterioration and time-dependent learning

被引:32
作者
Toksari, M. Duran
Oron, Daniel [1 ,2 ]
Guner, Ertan [3 ]
机构
[1] Univ Sydney, Fac Econ & Business, Sydney, NSW 2006, Australia
[2] Erciyes Univ, Fac Engn, Dept Ind Engn, Kayseri, Turkey
[3] Gazi Univ, Engn & Architecture Fac, Dept Ind Engn, Ankara, Turkey
关键词
Scheduling; Time-dependent learning effect; Deteriorating jobs; PROCESSING TIMES; JOBS;
D O I
10.1016/j.mcm.2009.05.026
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
Job deterioration and machine learning co-exist in various real life scheduling settings. This paper studies several single machine scheduling problems under the joint effect of nonlinear job deterioration and time-dependent learning. We assume that the processing time of a job increases when its processing is delayed. In addition, it is assumed that the machine undergoes a learning process, decreasing the time required to process a given job. The following objectives are considered: the makespan, the sum of completion times (square) and the maximum lateness. We derive polynomial-time optimal solutions for all the objectives. Crown Copyright (C) 2009 Published by Elsevier Ltd. All rights reserved.
引用
收藏
页码:401 / 406
页数:6
相关论文
共 20 条
[1]  
Alidaee B, 1999, J OPER RES SOC, V50, P711, DOI 10.2307/3010325
[2]   Single-machine scheduling with learning considerations [J].
Biskup, D .
EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 1999, 115 (01) :173-178
[3]   SCHEDULING DETERIORATING JOBS ON A SINGLE PROCESSOR [J].
BROWNE, S ;
YECHIALI, U .
OPERATIONS RESEARCH, 1990, 38 (03) :495-498
[4]   A bi-criteria two-machine flowshop scheduling problem with a learning effect [J].
Chen, P. ;
Wu, C-C ;
Lee, W-C .
JOURNAL OF THE OPERATIONAL RESEARCH SOCIETY, 2006, 57 (09) :1113-1125
[5]   A concise survey of scheduling with time-dependent processing times [J].
Cheng, TCE ;
Ding, Q ;
Lin, BMT .
EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 2004, 152 (01) :1-13
[6]  
CHENG TCE, 2007, COMPUTERS I IN PRESS
[7]   Minimizing total tardiness in a scheduling problem with a learning effect [J].
Eren, Tamer ;
Guner, Ertan .
APPLIED MATHEMATICAL MODELLING, 2007, 31 (07) :1351-1361
[8]   SINGLE FACILITY SCHEDULING WITH NONLINEAR PROCESSING TIMES [J].
GUPTA, JND ;
GUPTA, SK .
COMPUTERS & INDUSTRIAL ENGINEERING, 1988, 14 (04) :387-393
[9]   Single-machine and two-machine flowshop scheduling with general learning functions [J].
Koulamas, Christos ;
Kyparisis, George J. .
EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 2007, 178 (02) :402-407
[10]   MINIMIZING THE MAKESPAN WITH LATE START PENALTIES ADDED TO PROCESSING TIMES IN A SINGLE FACILITY SCHEDULING PROBLEM [J].
KUNNATHUR, AS ;
GUPTA, SK .
EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 1990, 47 (01) :56-64