SCHEDULING PROPORTIONALLY DETERIORATING JOBS IN TWO-MACHINE OPEN SHOP WITH A NON-BOTTLENECK MACHINE

被引:7
|
作者
Li, Shisheng [1 ]
机构
[1] Zhengzhou Univ, Dept Math, Zhengzhou 450001, Henan, Peoples R China
关键词
Scheduling; deteriorating jobs; open shop; non-bottleneck machine; FPTAS; DEPENDENT PROCESSING TIMES; MINIMIZE;
D O I
10.1142/S0217595911003478
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
We address the problem of scheduling proportionally deteriorating jobs in two-machine open shop in which one of the machines is non-bottleneck. The objective is to minimize the makespan. We show that the decision version of the problem is NP-complete in the ordinary sense, and present for it a fully polynomial-time approximation scheme.
引用
收藏
页码:623 / 631
页数:9
相关论文
共 50 条
  • [31] On three-machine flow shop scheduling with deteriorating jobs
    Wang, Ling
    Sun, Lin-Yan
    Sun, Lin-Hui
    Wang, Ji-Bo
    INTERNATIONAL JOURNAL OF PRODUCTION ECONOMICS, 2010, 125 (01) : 185 - 189
  • [32] A branch-and-bound algorithm for solving a two-machine flow shop problem with deteriorating jobs
    Ng, C. T.
    Wang, J. -B.
    Cheng, T. C. E.
    Liu, L. L.
    COMPUTERS & OPERATIONS RESEARCH, 2010, 37 (01) : 83 - 90
  • [33] Two-machine open-shop scheduling with rejection to minimize the makespan
    Liqi Zhang
    Lingfa Lu
    Jinjiang Yuan
    OR Spectrum, 2016, 38 : 519 - 529
  • [34] SINGLE-MACHINE SCHEDULING WITH PROPORTIONALLY DETERIORATING JOBS SUBJECT TO AVAILABILITY CONSTRAINTS
    Li, Shisheng
    Fan, Baoqiang
    ASIA-PACIFIC JOURNAL OF OPERATIONAL RESEARCH, 2012, 29 (04)
  • [35] Two-machine open-shop scheduling with rejection to minimize the makespan
    Zhang, Liqi
    Lu, Lingfa
    Yuan, Jinjiang
    OR SPECTRUM, 2016, 38 (02) : 519 - 529
  • [36] Scheduling Two-machine Flow Shop with a Batch Processing Machine
    Koh, Shiegheun
    Kim, Youngjin
    Lee, Woonseek
    CIE: 2009 INTERNATIONAL CONFERENCE ON COMPUTERS AND INDUSTRIAL ENGINEERING, VOLS 1-3, 2009, : 46 - 51
  • [37] On-line two-machine open shop scheduling with time lags
    Zhang, Xiandong
    van de Velde, Steef
    EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 2010, 204 (01) : 14 - 19
  • [38] Fuzzy scheduling on two-machine flow shop
    Hong, TP
    Chuang, TN
    JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 1998, 6 (04) : 471 - 481
  • [39] Two-machine flow shop and open shop scheduling problems with a single maintenance window
    Mosheiov, Gur
    Sarig, Assaf
    Strusevich, Vitaly A.
    Mosheiff, Jonathan
    EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 2018, 271 (02) : 388 - 400
  • [40] An improved heuristic for two-machine flow shop scheduling with an availability constraint and nonresumable jobs
    Hatem Hadda
    Najoua Dridi
    Sonia Hajri-Gabouj
    4OR, 2010, 8 : 87 - 99