An improved on-line algorithm for scheduling on two unrestrictive parallel batch processing machines

被引:18
|
作者
Nong, Q. Q. [2 ]
Cheng, T. C. E. [1 ]
Ng, C. T. [1 ]
机构
[1] Hong Kong Polytech Univ, Dept Logist, Kowloon, Hong Kong, Peoples R China
[2] Ocean Univ China, Dept Math, Qingdao 266071, Shandong, Peoples R China
基金
中国国家自然科学基金;
关键词
On-line scheduling; Parallel machines; Batch; Worst-case analysis; Competitive ratio;
D O I
10.1016/j.orl.2008.03.004
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 the problem of on-line scheduling a set of n jobs on two parallel batch processing machines. The objective is to minimize the makespan. We provide an algorithm for the problem that is better than one given in the literature, improving the competitive ratio from 3/2 to root 2 (c) 2008 Elsevier B.V. All rights reserved.
引用
收藏
页码:584 / 588
页数:5
相关论文
共 50 条
  • [1] Optimal on-line algorithms for scheduling on parallel batch processing machines
    Zhang, GC
    Cai, XQ
    Wong, CK
    [J]. IIE TRANSACTIONS, 2003, 35 (02) : 175 - 181
  • [2] A best possible on-line algorithm for scheduling on uniform parallel-batch machines
    Li, Wenhua
    Chai, Xing
    Song, Yali
    [J]. THEORETICAL COMPUTER SCIENCE, 2018, 740 : 68 - 75
  • [3] On-line Batch Scheduling on Tow Parallel Machines With Wait
    Huo Manchen
    Chen Zhongjiu
    [J]. 2015 IEEE ADVANCED INFORMATION TECHNOLOGY, ELECTRONIC AND AUTOMATION CONTROL CONFERENCE (IAEAC), 2015, : 776 - 779
  • [4] 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
  • [5] Optimal Semi-Online Algorithm for Scheduling on Two Parallel Batch Processing Machines
    Liu, Ming
    Zheng, Feifeng
    Zhu, Zhanguo
    Chu, Chengbin
    [J]. ASIA-PACIFIC JOURNAL OF OPERATIONAL RESEARCH, 2014, 31 (05)
  • [6] An improved on-line algorithm for single parallel-batch machine scheduling with delivery times
    Tian, Ji
    Cheng, T. C. E.
    Ng, C. T.
    Yuan, Jinjiang
    [J]. DISCRETE APPLIED MATHEMATICS, 2012, 160 (7-8) : 1191 - 1210
  • [7] On-line scheduling of two parallel machines with a single server
    Zhang, Lele
    Wirth, Andrew
    [J]. COMPUTERS & OPERATIONS RESEARCH, 2009, 36 (05) : 1529 - 1553
  • [8] A best online algorithm for scheduling on two parallel batch machines
    Tian, Ji
    Fu, Ruyan
    Yuan, Jinjiang
    [J]. THEORETICAL COMPUTER SCIENCE, 2009, 410 (21-23) : 2291 - 2294
  • [9] Improved algorithm for a generalized on-line scheduling problem on identical machines
    Li, Rongheng
    Huang, Huei-Chuen
    [J]. EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 2007, 176 (01) : 643 - 652
  • [10] Scheduling Jobs on Parallel Batch Processing Machines
    Liu, Lili
    Wang, Jibo
    Zhang, Feng
    [J]. 2009 ISECS INTERNATIONAL COLLOQUIUM ON COMPUTING, COMMUNICATION, CONTROL, AND MANAGEMENT, VOL I, 2009, : 78 - +