Techniques and results on approximation algorithms for packing circles

被引:0
|
作者
Flávio K. Miyazawa
Yoshiko Wakabayashi
机构
[1] University of Campinas,Institute of Computing
[2] University of São Paulo,Institute of Mathematics and Statistics
来源
São Paulo Journal of Mathematical Sciences | 2022年 / 16卷
关键词
Circle packing; Approximation; Bin packing; Strip packing; Knapsack; 68W25; 68W27; 68Q17; 52C17; 52C26;
D O I
暂无
中图分类号
学科分类号
摘要
This survey provides an introductory guide to some techniques used in the design of approximation algorithms for circle packing problems. We address three such packing problems, in which the circles may have different sizes. They differ on the type of the recipient. We consider the classical bin packing and strip packing, and a variant called knapsack packing. Our aim is to discuss some techniques and basic algorithms to motivate the reader to investigate these and other related problems. We also present the ideas used on more elaborated algorithms, without going into details, and mention known results on these problems.
引用
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页码:585 / 615
页数:30
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