Linear Programming Relaxation Algorithm for Scheduling Problem with Controllable Processing Times

被引：1
|
作者：
Zhang, Feng [1 ]
Liu, Lili [1 ]
机构：
[1] Shanghai Second Polytech Univ, Sch Sci, Shanghai 201209, Peoples R China
来源：
2009 ISECS INTERNATIONAL COLLOQUIUM ON COMPUTING, COMMUNICATION, CONTROL, AND MANAGEMENT, VOL I | 2009年
关键词：
linear programming; scheduling; controllable processing time; SINGLE-MACHINE;
D O I：
10.1109/CCCM.2009.5268146
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
In this paper we provide a linear programming relaxation algorithm for scheduling problem with controllable processing times. This problem is NP-hard even if there are no precedence constraints between the jobs. We prove that the performance ratio of the algorithm is 4.
引用
收藏
页码：82 / 85
页数：4
相关论文
共 50 条
  • [41] SINGLE MACHINE BATCH SCHEDULING PROBLEM TO MINIMIZE MAKESPAN WITH CONTROLLABLE SETUP AND JOBS PROCESSING TIMES
    Luo, Chengxin
    NUMERICAL ALGEBRA CONTROL AND OPTIMIZATION, 2015, 5 (01): : 71 - 77
  • [42] A 2-MACHINE FLOW-SHOP SCHEDULING PROBLEM WITH CONTROLLABLE JOB PROCESSING TIMES
    NOWICKI, E
    ZDRZALKA, S
    EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 1988, 34 (02) : 208 - 220
  • [43] Two decompositions for the bicriteria job-shop scheduling problem with discretely controllable processing times
    Niu, Ganggang
    Sun, Shudong
    Lafon, Pascal
    Zhang, Yingfeng
    Wang, Junqiang
    INTERNATIONAL JOURNAL OF PRODUCTION RESEARCH, 2012, 50 (24) : 7415 - 7427
  • [44] A unified analysis for the single-machine scheduling problem with controllable and non-controllable variable job processing times
    Koulamas, Christos
    Gupta, Sushil
    Kyparisis, George J.
    EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 2010, 205 (02) : 479 - 482
  • [45] A simple linear time algorithm for scheduling with step-improving processing times
    Ji, Min
    He, Yong
    Cheng, T. C. E.
    COMPUTERS & OPERATIONS RESEARCH, 2007, 34 (08) : 2396 - 2402
  • [46] Memetic algorithm for unrelated parallel machine scheduling problem with grey processing times
    Arik, Oguzhan Ahmet
    JOURNAL OF MODELLING IN MANAGEMENT, 2023, 18 (05) : 1584 - 1602
  • [47] An effective multi-objective discrete virus optimization algorithm for flexible job-shop scheduling problem with controllable processing times
    Lu, Chao
    Li, Xinyu
    Gao, Liang
    Liao, Wei
    Yi, Jin
    COMPUTERS & INDUSTRIAL ENGINEERING, 2017, 104 : 156 - 174
  • [48] Pre-emptive scheduling problems with controllable processing times
    Shakhlevich, NV
    Strusevich, VA
    JOURNAL OF SCHEDULING, 2005, 8 (03) : 233 - 253
  • [49] Positive half-products and scheduling with controllable processing times
    Janiak, A
    Kovalyov, MY
    Kubiak, W
    Werner, F
    EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 2005, 165 (02) : 416 - 422
  • [50] Scheduling with controllable release dates and processing times: Makespan minimization
    Cheng, T. C. Edwin
    Kovalyov, Mikhail Y.
    Shakhlevich, Natalia V.
    EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 2006, 175 (02) : 751 - 768
12345