On weighted balls-into-bins games

被引：36

作者：

Berenbrink, Petra ^{[1
]}

Friedetzky, Tom ^{[2
]}

Hu, Zengjian ^{[1
]}

Martin, Russell ^{[3
]}

机构：

[1] Simon Fraser Univ, Sch Comp Sci, Burnaby, BC V5A 1S6, Canada

[2] Univ Durham, Dept Comp Sci, Durham DH1 3LE, England

[3] Univ Warwick, Dept Comp Sci, Coventry CV4 7AL, W Midlands, England

来源：

THEORETICAL COMPUTER SCIENCE | 2008年 / 409卷 / 03期

关键词：

Balls-into-bins games; Random resource allocation; Weighted balls;

D O I：

10.1016/j.tcs.2008.09.023

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

We consider the well-known problem of randomly allocating m balls into n bins. We investigate various properties of single-choice games as well as multiple-choice games in the context of weighted balls. We are particularly interested in questions that are concerned with the distribution of ball weights, and the order in which balls are allocated. Do any of these parameters influence the maximum expected load of any bin, and if yes, then how? The problem of weighted balls is of practical relevance. Balls-into-bins games are frequently used to conveniently model load balancing problems. Here, weights can be used to model resource requirements of the jobs, i.e., memory or running time. (C) 2008 Elsevier B.V. All rights reserved.

引用

页码：511 / 520

页数：10

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