Approximation algorithms for the single-machine scheduling with a period of maintenance

被引:4
|
作者
Li, Ganggang [1 ]
Lu, Xiwen [1 ]
机构
[1] E China Univ Sci & Technol, Sch Sci, Dept Math, Shanghai 200237, Peoples R China
基金
中国国家自然科学基金;
关键词
Scheduling; Completion time; Delivery time; Maintenance; Algorithm; JOB DELIVERY COORDINATION; AVAILABILITY CONSTRAINTS; SUPPLY CHAIN; OPERATIONS; MINIMIZE;
D O I
10.1007/s11590-015-0881-8
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 consider a single machine scheduling problem of minimizing total completion time subject to a period of maintenance, and design an O(nlogn) time algorithm with a tight performance ratio of 17/15. Then, we study an integrated production and distribution problem, in which jobs are delivered by one vehicle to a customer after they are completed on a single machine with a period of maintenance. The objective is to minimize total delivery time of the jobs. We develop a 3/2-approximation algorithm with O(n(3)) time complexity.
引用
收藏
页码:543 / 562
页数:20
相关论文
共 50 条
  • [1] Approximation algorithms for the single-machine scheduling with a period of maintenance
    Ganggang Li
    Xiwen Lu
    [J]. Optimization Letters, 2016, 10 : 543 - 562
  • [2] On exact algorithms for single-machine scheduling problems with a variable maintenance
    Wang, Qi
    Liu, Aihua
    Xiao, Junfang
    [J]. COMPUTERS & INDUSTRIAL ENGINEERING, 2017, 107 : 276 - 279
  • [3] Exact algorithms for single-machine scheduling problems with a variable maintenance
    Ying, Kuo-Ching
    Lu, Chung-Cheng
    Chen, Jhao-Cheng
    [J]. COMPUTERS & INDUSTRIAL ENGINEERING, 2016, 98 : 427 - 433
  • [4] APPROXIMATION ALGORITHMS FOR SCHEDULING A SINGLE-MACHINE TO MINIMIZE TOTAL LATE WORK
    POTTS, CN
    VANWASSENHOVE, LN
    [J]. OPERATIONS RESEARCH LETTERS, 1992, 11 (05) : 261 - 266
  • [5] Approximation algorithms for single machine scheduling with one unavailability period
    Kacem, Imed
    Haouari, Mohamed
    [J]. 4OR-A QUARTERLY JOURNAL OF OPERATIONS RESEARCH, 2009, 7 (01): : 79 - 92
  • [6] Approximation algorithms for single machine scheduling with one unavailability period
    Imed Kacem
    Mohamed Haouari
    [J]. 4OR, 2009, 7
  • [7] Single-machine scheduling with deteriorating effects and machine maintenance
    Sun, Xinyu
    Geng, Xin-Na
    [J]. INTERNATIONAL JOURNAL OF PRODUCTION RESEARCH, 2019, 57 (10) : 3186 - 3199
  • [8] On single-machine scheduling with flexible maintenance activities
    Xu, Dehua
    Yin, Yunqiang
    [J]. INTERNATIONAL JOURNAL OF ADVANCED MANUFACTURING TECHNOLOGY, 2011, 56 (9-12): : 1139 - 1145
  • [9] Single-machine scheduling with a variable maintenance activity
    Luo, Wenchang
    Cheng, T. C. E.
    Ji, Min
    [J]. COMPUTERS & INDUSTRIAL ENGINEERING, 2015, 79 : 168 - 174
  • [10] On single-machine scheduling with flexible maintenance activities
    Dehua Xu
    Yunqiang Yin
    [J]. The International Journal of Advanced Manufacturing Technology, 2011, 56 : 1139 - 1145