Techniques and results on approximation algorithms for packing circles
被引:0
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作者:
Flávio K. Miyazawa
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机构:University of Campinas,Institute of Computing
Flávio K. Miyazawa
Yoshiko Wakabayashi
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h-index: 0
机构:University of Campinas,Institute of Computing
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
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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.
机构:
Univ Estadual Campinas, Av Albert Einstein 1251,Cidade Univ, Campinas, SP, BrazilUniv Estadual Campinas, Av Albert Einstein 1251,Cidade Univ, Campinas, SP, Brazil
Borges, Yulle G. F.
Miyazawa, Flavio K.
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机构:
Univ Estadual Campinas, Av Albert Einstein 1251,Cidade Univ, Campinas, SP, BrazilUniv Estadual Campinas, Av Albert Einstein 1251,Cidade Univ, Campinas, SP, Brazil
Miyazawa, Flavio K.
Schouery, Rafael C. S.
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机构:
Univ Estadual Campinas, Av Albert Einstein 1251,Cidade Univ, Campinas, SP, BrazilUniv Estadual Campinas, Av Albert Einstein 1251,Cidade Univ, Campinas, SP, Brazil
Schouery, Rafael C. S.
Xavier, Eduardo C.
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机构:
Univ Estadual Campinas, Av Albert Einstein 1251,Cidade Univ, Campinas, SP, BrazilUniv Estadual Campinas, Av Albert Einstein 1251,Cidade Univ, Campinas, SP, Brazil
机构:
Russian Acad Sci, Ctr Comp, Complex Syst Dept, Moscow, Russia
Univ Autonoma Nuevo Leon, Fac Ingn Mecan & Elect, Monterrey, Nuevo Leon, MexicoRussian Acad Sci, Ctr Comp, Complex Syst Dept, Moscow, Russia
Litvinchev, I.
Ozuna, E. L.
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机构:
Univ Autonoma Nuevo Leon, Fac Ingn Mecan & Elect, Monterrey, Nuevo Leon, MexicoRussian Acad Sci, Ctr Comp, Complex Syst Dept, Moscow, Russia
机构:
Cent China Normal Univ, Natl Engn Res Ctr E Learning, Wuhan 430079, Hubei, Peoples R ChinaCent China Normal Univ, Natl Engn Res Ctr E Learning, Wuhan 430079, Hubei, Peoples R China
Chen, Mao
Tang, Xiangyang
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Cent China Normal Univ, Natl Engn Res Ctr E Learning, Wuhan 430079, Hubei, Peoples R ChinaCent China Normal Univ, Natl Engn Res Ctr E Learning, Wuhan 430079, Hubei, Peoples R China
Tang, Xiangyang
Song, Ting
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Cent China Normal Univ, Natl Engn Res Ctr E Learning, Wuhan 430079, Hubei, Peoples R ChinaCent China Normal Univ, Natl Engn Res Ctr E Learning, Wuhan 430079, Hubei, Peoples R China
Song, Ting
Zeng, Zhizhong
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机构:
Cent China Normal Univ, Natl Engn Res Ctr E Learning, Wuhan 430079, Hubei, Peoples R ChinaCent China Normal Univ, Natl Engn Res Ctr E Learning, Wuhan 430079, Hubei, Peoples R China
Zeng, Zhizhong
Peng, Xicheng
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机构:
Cent China Normal Univ, Natl Engn Res Ctr E Learning, Wuhan 430079, Hubei, Peoples R ChinaCent China Normal Univ, Natl Engn Res Ctr E Learning, Wuhan 430079, Hubei, Peoples R China
Peng, Xicheng
Liu, Sanya
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机构:
Cent China Normal Univ, Natl Engn Res Ctr E Learning, Wuhan 430079, Hubei, Peoples R ChinaCent China Normal Univ, Natl Engn Res Ctr E Learning, Wuhan 430079, Hubei, Peoples R China