An optimal semi-online algorithm for a single machine scheduling problem with bounded processing time

被引:13
|
作者
Tao, Jiping [1 ]
Chao, Zhijun [1 ]
Xi, Yugeng [1 ]
Tao, Ye [1 ]
机构
[1] Shanghai Jiao Tong Univ, Dept Automat, Shanghai 200030, Peoples R China
基金
美国国家科学基金会;
关键词
Analysis of algorithms; Semi-online algorithms; Single machine scheduling; Total weighted completion time; Competitive ratio; ASYMPTOTIC PERFORMANCE RATIO; AVERAGE COMPLETION-TIME; RELEASE DATES;
D O I
10.1016/j.ipl.2010.02.013
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
The single machine semi-online scheduling problem is considered with the assumption that the ratio of the longest processing time to the shortest one is not greater than gamma. The goal is to minimize the total weighted completion time. We design a semi-online algorithm and prove that it has a competitive ratio of 1 + root 4 gamma(2)+1-1/2 gamma, which is also shown to be the best performance achieved by any deterministic semi-online algorithm for the problem. (C) 2010 Elsevier B.V. All rights reserved.
引用
收藏
页码:325 / 330
页数:6
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