Integer preemptive scheduling on parallel machines

被引:5
|
作者
Baptiste, Ph [2 ,3 ]
Carlier, J. [2 ]
Kononov, A. [4 ]
Queyranne, M. [5 ]
Sevastyanov, S. [4 ]
Sviridenko, M. [1 ]
机构
[1] Univ Warwick, Dept Comp Sci, Coventry CV4 7AL, W Midlands, England
[2] Univ Tech Compiegne, Heudiasyc, CNRS, Compiegne, France
[3] Ecole Polytech, F-91128 Palaiseau, France
[4] Sobolev Inst Math, Novosibirsk, Russia
[5] Univ British Columbia, Fac Commerce & Business Adm, Vancouver, BC V6T 1Z2, Canada
基金
俄罗斯基础研究基金会;
关键词
Preemptive scheduling; Parallel machines; Structural properties; TIME;
D O I
10.1016/j.orl.2012.06.011
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 preemptive machine scheduling problems on identical parallel machines. It is shown that every such problem with chain-like precedence constraints, release dates and a regular unit-concave objective function (e.g. total weighted tardiness and total weighted number of late jobs) has the following integer preemption property: for any problem instance with integral input data there exists an optimal schedule where all interruptions (as well as starting and completion times of jobs) occur at integer time points. (c) 2012 Published by Elsevier B.V.
引用
收藏
页码:440 / 444
页数:5
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