AN ONLINE SCHEDULING HEURISTIC WITH BETTER WORST CASE RATIO THAN GRAHAM LIST SCHEDULING

被引:76
作者
GALAMBOS, G [1 ]
WOEGINGER, GJ [1 ]
机构
[1] GRAZ TECH UNIV,INST THEORET INFORMAT,A-8010 GRAZ,AUSTRIA
关键词
COMBINATORIAL PROBLEMS; SCHEDULING; WORST CASE BOUNDS; ONLINE ALGORITHMS;
D O I
10.1137/0222026
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
The problem of on-line scheduling a set of independent jobs on m machines is considered. The goal is to minimize the makespan of the schedule. Graham's List Scheduling heuristic [R. L Graham, SIAM J. Appl. Math., 17(1969), pp. 416-429] guarantees a worst case performance of 2 - 1/m for this problem. This worst case bound cannot be improved for m = 2 and m = 3. For m greater-than-or-equal-to 4, approximation algorithms with worst case performance at most 2 - 1/m - epsilon(m) are presented, where epsilon(m) is some positive real depending only on m.
引用
收藏
页码:349 / 355
页数:7
相关论文
共 2 条
[1]  
Faigle U., 1989, Acta Cybernetica, V9, P107
[2]   BOUNDS ON MULTIPROCESSING TIMING ANOMALIES [J].
GRAHAM, RL .
SIAM JOURNAL ON APPLIED MATHEMATICS, 1969, 17 (02) :416-&