An analysis of the LPT algorithm for the max-min and the min-ratio partition problems

被引：3
|
作者：
Wu, BY [1 ]
机构：
[1] Shu Te Univ, Dept Comp Sci & Informat Engn, Kaohsiung 824, Taiwan
来源：
THEORETICAL COMPUTER SCIENCE | 2005年 / 349卷 / 03期
关键词：
partition; optimization problem; approximation algorithm;
D O I：
10.1016/j.tcs.2005.08.032
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
Given a set of positive numbers, the max-min partition problem asks for a k-partition such that the minimum part is maximized. The min-ratio partition problem has the similar definition but the objective is to minimize the ratio of the maximum to the minimum parts. In this paper, we analyze the performances of the longest processing time (LPT) algorithm for the two problems. We show that the tight bounds of the LPT are, respectively (4k - 2)/(3k - 1) and (7)/(5) (c) 2005 Elsevier B.V. All rights reserved.
引用
收藏
页码：407 / 419
页数：13
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