A note on parallel-machine scheduling with deteriorating jobs

被引：6
|
作者：
Jeng, A. A. K.
Lin, B. M. T. [1 ]
机构：
[1] Natl Chiao Tung Univ, Dept Informat & Finance Management, Hsinchu 300, Taiwan
[2] Natl Chiao Tung Univ, Dept Comp & Informat Sci, Hsinchu 300, Taiwan
来源：
JOURNAL OF THE OPERATIONAL RESEARCH SOCIETY | 2007年 / 58卷 / 06期
关键词：
parallel-machine scheduling; time-dependent processing time; lower bound;
D O I：
10.1057/palgrave.jors.2602208
中图分类号：
C93 [管理学];
学科分类号：
12 ; 1201 ; 1202 ; 120202 ;
摘要：
We consider a parallel-machine scheduling problem of minimizing the total completion time. The processing time of a job is a linear function of its starting time and deterioration rate. This problem is known to be NP-hard, even for the case with two machines. In this note, we generalize an existing lower bound for the two-machine case to the general case with an arbitrary number of machines. Despite the generalization concerning machine number, our bound has one extra term that makes our bound tighter than the existing one.
引用
收藏
页码：824 / 826
页数：3
相关论文
共 50 条
  • [41] Parallel-machine scheduling with an availability constraint
    Zhao, Chuanli
    Ji, Min
    Tang, Hengyong
    COMPUTERS & INDUSTRIAL ENGINEERING, 2011, 61 (03) : 778 - 781
  • [42] Multi-objective Parallel-machine Scheduling Problem Considering Energy Consumption and Deteriorating Effect
    Qi, Yuxin
    Fu, Yaping
    Sun, Cuihua
    Guo, Xiwang
    2020 CHINESE AUTOMATION CONGRESS (CAC 2020), 2020, : 6917 - 6922
  • [43] Single-machine scheduling with deteriorating jobs
    Kuo, Wen-Hung
    Yang, Dar-Li
    INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2012, 43 (01) : 132 - 139
  • [44] Single machine scheduling problems with deteriorating jobs
    Zhao, CL
    Tang, HY
    APPLIED MATHEMATICS AND COMPUTATION, 2005, 161 (03) : 865 - 874
  • [45] A Note on Two-agent Single-machine Scheduling Problem with Deteriorating Jobs
    Liu, Peng
    Feng, Daguang
    Zhou, Xiaoye
    Tang, Qi
    2010 CHINESE CONTROL AND DECISION CONFERENCE, VOLS 1-5, 2010, : 3832 - +
  • [46] A note on due-date assignment and single-machine scheduling with deteriorating jobs
    Kuo, W-H
    Yang, D-L
    JOURNAL OF THE OPERATIONAL RESEARCH SOCIETY, 2008, 59 (06) : 857 - 859
  • [47] Resource-dependent scheduling with deteriorating jobs and learning effects on unrelated parallel machine
    Yuan-Yuan Lu
    Jian Jin
    Ping Ji
    Ji-Bo Wang
    Neural Computing and Applications, 2016, 27 : 1993 - 2000
  • [48] Resource-dependent scheduling with deteriorating jobs and learning effects on unrelated parallel machine
    Lu, Yuan-Yuan
    Jin, Jian
    Ji, Ping
    Wang, Ji-Bo
    NEURAL COMPUTING & APPLICATIONS, 2016, 27 (07): : 1993 - 2000
  • [49] Parallel-machine scheduling of jobs with mixed job-, machine- and position-dependent processing times
    Bartłomiej Przybylski
    Journal of Combinatorial Optimization, 2022, 44 : 207 - 222
  • [50] A note on scheduling problems with learning effect and deteriorating jobs
    Wang, J. -B.
    INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2006, 37 (12) : 827 - 833
12345