Parallel batch scheduling of equal-length jobs with release and due dates

被引:0
|
作者
Alessandro Condotta
Sigrid Knust
Natalia V. Shakhlevich
机构
[1] University of Leeds,School of Computing
[2] Technical University of Clausthal,Institute of Mathematics
来源
Journal of Scheduling | 2010年 / 13卷
关键词
Single machine scheduling; Parallel machine scheduling; Parallel batching; Complexity;
D O I
暂无
中图分类号
学科分类号
摘要
In this paper we study parallel batch scheduling problems with bounded batch capacity and equal-length jobs in a single and parallel machine environment. It is shown that the feasibility problem 1|p-batch,b<n,rj,pj=p,Cj≤dj|− can be solved in O(n2) time and that the problem of minimizing the maximum lateness can be solved in O(n2log n) time. For the parallel machine problem P|p-batch,b<n,rj,pj=p,Cj≤dj|− an O(n3log n)-time algorithm is provided, which can also be used to solve the problem of minimizing the maximum lateness in O(n3log 2n) time.
引用
收藏
页码:463 / 477
页数:14
相关论文
共 50 条
  • [1] Parallel batch scheduling of equal-length jobs with release and due dates
    Condotta, Alessandro
    Knust, Sigrid
    Shakhlevich, Natalia V.
    [J]. JOURNAL OF SCHEDULING, 2010, 13 (05) : 463 - 477
  • [2] Scheduling equal-length jobs with arbitrary sizes on uniform parallel batch machines
    Xin, Xiao
    Khan, Muhammad Ijaz
    Li, Shuguang
    [J]. OPEN MATHEMATICS, 2023, 21 (01):
  • [3] Online scheduling of equal-length jobs on parallel machines
    Ding, Jihuan
    Ebenlendr, Tomas
    Sgall, Jiri
    Zhang, Guochuan
    [J]. ALGORITHMS - ESA 2007, PROCEEDINGS, 2007, 4698 : 427 - +
  • [4] Scheduling equal-length jobs on identical parallel machines
    Baptiste, P
    [J]. DISCRETE APPLIED MATHEMATICS, 2000, 103 (1-3) : 21 - 32
  • [5] Preemptive scheduling of equal length jobs with release dates on two uniform parallel machines
    Lushchakova, Irina N.
    [J]. DISCRETE OPTIMIZATION, 2009, 6 (04) : 446 - 460
  • [6] Efficient algorithms for scheduling equal-length jobs with processing set restrictions on uniform parallel batch machines
    Li, Shuguang
    [J]. MATHEMATICAL BIOSCIENCES AND ENGINEERING, 2022, 19 (11) : 10731 - 10740
  • [7] Online batch scheduling of equal-length jobs on two identical batch machines to maximise the number of early jobs
    Li, Wenjie
    Li, Shisheng
    [J]. INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2015, 46 (04) : 652 - 661
  • [8] Scheduling jobs with release dates on parallel batch processing machines
    Liu, L. L.
    Ng, C. T.
    Cheng, T. C. E.
    [J]. DISCRETE APPLIED MATHEMATICS, 2009, 157 (08) : 1825 - 1830
  • [9] Parallel Batch Scheduling of Deteriorating Jobs with Release Dates and Rejection
    Zou, Juan
    Miao, Cuixia
    [J]. SCIENTIFIC WORLD JOURNAL, 2014,
  • [10] Minimizing total weighted tardiness on a single machine with release dates and equal-length jobs
    van den Akker, J. M.
    Diepen, G.
    Hoogeveen, J. A.
    [J]. JOURNAL OF SCHEDULING, 2010, 13 (06) : 561 - 576