Scheduling incompatible tasks on two machines

被引：5
|
作者：
Lushchakova, Irina N. [2 ]
Strusevich, Vitaly A. [1 ]
机构：
[1] Univ Greenwich, Old Royal Naval Coll, Sch Comp & Math Sci, London SE10 91S, England
[2] Belarussian State Univ Informat & Radioelect, Minsk 220027, BELARUS
来源：
EUROPEAN JOURNAL OF OPERATIONAL RESEARCH | 2010年 / 200卷 / 02期
关键词：
Two machine scheduling; Incompatibility graph; Max-batch; Polynomial algorithm; PARALLEL DEDICATED MACHINES; BATCHES;
D O I：
10.1016/j.ejor.2009.01.029
中图分类号：
C93 [管理学];
学科分类号：
12 ; 1201 ; 1202 ; 120202 ;
摘要：
The paper studies the problem of scheduling tasks on two machines to minimize the makespan. The tasks are assigned to the machine in advance. An incompatibility relation is defined over the tasks which forbids any two incompatible tasks to be processed at the same time. The problem can serve as a mathematical model for some batching problems in which the jobs are grouped in pairs on two machines. A linear-time algorithm is presented. (C) 2009 Elsevier B.V. All rights reserved.
引用
收藏
页码：334 / 346
页数：13
相关论文
共 50 条
  • [1] SCHEDULING BATCH PROCESSING MACHINES WITH INCOMPATIBLE JOB FAMILIES
    UZSOY, R
    [J]. INTERNATIONAL JOURNAL OF PRODUCTION RESEARCH, 1995, 33 (10) : 2685 - 2708
  • [2] Semi-online Hierarchical Scheduling for Bag-of-tasks on Two Machines
    Dai, Bingfei
    Li, Jianping
    Li, Weidong
    [J]. PROCEEDINGS OF 2018 THE 2ND INTERNATIONAL CONFERENCE ON COMPUTER SCIENCE AND ARTIFICIAL INTELLIGENCE (CSAI 2018) / 2018 THE 10TH INTERNATIONAL CONFERENCE ON INFORMATION AND MULTIMEDIA TECHNOLOGY (ICIMT 2018), 2018, : 609 - 614
  • [3] Scheduling coupled tasks on parallel identical machines
    Khatami, Mostafa
    Oron, Daniel
    Salehipour, Amir
    [J]. OPTIMIZATION LETTERS, 2024, 18 (04) : 991 - 1003
  • [4] Scheduling coupled tasks on parallel identical machines
    Mostafa Khatami
    Daniel Oron
    Amir Salehipour
    [J]. Optimization Letters, 2024, 18 : 991 - 1003
  • [5] On mapping and scheduling tasks with synchronization on clusters of machines
    Arafeh, BR
    [J]. GRID AND COOPERATIVE COMPUTING, PT 2, 2004, 3033 : 254 - 258
  • [6] Multiobjective scheduling of jobs with incompatible families on parallel batch machines
    Reichelt, Dirk
    Moench, Lars
    [J]. EVOLUTIONARY COMPUTATION IN COMBINATORIAL OPTIMIZATION, PROCEEDINGS, 2006, 3906 : 209 - 221
  • [7] Metaheuristics for scheduling jobs with incompatible families on parallel batching machines
    Almeder, C.
    Moench, L.
    [J]. JOURNAL OF THE OPERATIONAL RESEARCH SOCIETY, 2011, 62 (12) : 2083 - 2096
  • [8] A new method of scheduling UET tasks on parallel machines
    Zinder, Yakov
    Singh, Gaurav
    Weiskircher, Rene
    [J]. IMECS 2006: INTERNATIONAL MULTICONFERENCE OF ENGINEERS AND COMPUTER SCIENTISTS, 2006, : 796 - +
  • [9] Scheduling tasks with exponential duration on unrelated parallel machines
    Nouri, Mostafa
    Ghodsi, Mohammad
    [J]. DISCRETE APPLIED MATHEMATICS, 2012, 160 (16-17) : 2462 - 2473
  • [10] Truthful algorithms for scheduling selfish tasks on parallel machines
    Angel, E
    Bampis, E
    Pascual, F
    [J]. INTERNET AND NETWORK ECONOMICS, PROCEEDINGS, 2005, 3828 : 698 - 707
12345