On-line scheduling of two parallel machines with a single server

被引:19
|
作者
Zhang, Lele [1 ]
Wirth, Andrew [1 ]
机构
[1] Univ Melbourne, Dept Mech Engn, Melbourne, Vic 3010, Australia
关键词
On-line scheduling; Parallel machines; Server; List scheduling;
D O I
10.1016/j.cor.2008.02.015
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
In this paper, we consider the on-line scheduling of two parallel identical machines sharing a single server with the objective of minimizing the latest completion time of all jobs. Each job has to be setup by the server before being processed oil one of the machines. Three special cases: equal length jobs, equal processing times and regular equal setup times are considered and the asymptotic competitive ratios of list scheduling are determined. Also, a lower bound for the equal length job case is given. and two heuristics with tight asymptotic competitive ratios for the other two cases are proposed. (c) 2008 Elsevier Ltd. All rights reserved.
引用
收藏
页码:1529 / 1553
页数:25
相关论文
共 50 条
  • [1] On-line scheduling of parallel jobs on two machines
    Chan, Wun-Tat
    Chin, Francis Y. L.
    Ye, Deshi
    Zhang, Guochuan
    Zhang, Yong
    [J]. JOURNAL OF DISCRETE ALGORITHMS, 2008, 6 (01) : 3 - 10
  • [2] Preemptive scheduling on two parallel machines with a single server
    Jiang, Yiwei
    Dong, Jianming
    Ji, Min
    [J]. COMPUTERS & INDUSTRIAL ENGINEERING, 2013, 66 (02) : 514 - 518
  • [3] Minimising interference for scheduling two parallel machines with a single server
    Hasani, Keramat
    Kravchenko, Svetlana A.
    Werner, Frank
    [J]. INTERNATIONAL JOURNAL OF PRODUCTION RESEARCH, 2014, 52 (24) : 7148 - 7158
  • [4] Online algorithms for scheduling two parallel machines with a single server
    Jiang, Yiwei
    Yu, Feng
    Zhou, Ping
    Hu, Jueliang
    [J]. INTERNATIONAL TRANSACTIONS IN OPERATIONAL RESEARCH, 2015, 22 (05) : 913 - 927
  • [5] Scheduling two parallel machines with a single server: the general case
    Abdekhodaee, AH
    Wirth, A
    Gan, HS
    [J]. COMPUTERS & OPERATIONS RESEARCH, 2006, 33 (04) : 994 - 1009
  • [6] Block models for scheduling jobs on two parallel machines with a single server
    Hasani, Keramat
    Kravchenko, Svetlana A.
    Werner, Frank
    [J]. COMPUTERS & OPERATIONS RESEARCH, 2014, 41 : 94 - 97
  • [7] Scheduling for parallel dedicated machines with a single server
    Glass, CA
    Shafransky, YM
    Strusevich, VA
    [J]. NAVAL RESEARCH LOGISTICS, 2000, 47 (04) : 304 - 328
  • [8] On-line scheduling with rejection on identical parallel machines
    Miao C.
    Zhang Y.
    [J]. Journal of Systems Science and Complexity, 2006, 19 (3) : 431 - 435
  • [9] ON-LINE SCHEDULING WITH REJECTION ON IDENTICAL PARALLEL MACHINES
    Cuixia MIAO Department of Mathematics
    [J]. Journal of Systems Science & Complexity, 2006, (03) : 431 - 435
  • [10] On-Line Scheduling on Parallel Machines to Minimize the Makespan
    LI Songsong
    ZHANG Yuzhong
    [J]. Journal of Systems Science & Complexity, 2016, 29 (02) : 472 - 477