An optimal algorithm for preemptive on-line scheduling

被引：57
|
作者：
Chen, B
vanVliet, A
Woeginger, GJ
机构：
[1] ERASMUS UNIV ROTTERDAM,INST ECONOMETR,3000 DR ROTTERDAM,NETHERLANDS
[2] GRAZ TECH UNIV,INST MATH,A-8010 GRAZ,AUSTRIA
来源：
OPERATIONS RESEARCH LETTERS | 1995年 / 18卷 / 03期
关键词：
scheduling; preemption; on-line algorithms; worst-case bounds;
D O I：
10.1016/0167-6377(95)00039-9
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 investigate the problem of on-line scheduling jobs on m identical parallel machines where preemption is allowed. The goal is to minimize the makespan. We derive an approximation algorithm with worst-case guarantee m(m)/(m(m) - (m - 1)(m)) for every m greater than or equal to 2, which increasingly tends to e/(e - 1) approximate to 1.58 as m --> infinity. Moreover, we prove that for no m greater than or equal to 2 there does exist any approximation algorithm with a better worst-case guarantee.
引用
收藏
页码：127 / 131
页数：5
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