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A memetic algorithm to pack unequal circles into a square

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成果类型:
期刊论文
作者:
Zeng, Zhi-Zhong;Yu, Xin-Guo*余新国);Chen, Mao(陈矛);Liu, Yuan-Yuan
通讯作者:
Yu, Xin-Guo(余新国
作者机构:
[Yu, Xin-Guo; Chen, Mao; Zeng, Zhi-Zhong] Cent China Normal Univ, Natl Engn Res Ctr E Learning, 152 Luoyu Rd, Wuhan 430079, Hubei, Peoples R China.
[Liu, Yuan-Yuan] China Univ Geosci, Fac Informat Engn, 388 Luino Rd, Wuhan 430074, Hubei, Peoples R China.
通讯机构:
[Yu, Xin-Guo] C
Cent China Normal Univ, Natl Engn Res Ctr E Learning, 152 Luoyu Rd, Wuhan 430079, Hubei, Peoples R China.
语种:
英文
关键词:
Crossover operator;Cutting;Memetic algorithm;Packing;Perturbation operator
期刊:
Computers & Operations Research
ISSN:
0305-0548
年:
2018
卷:
92
页码:
47-55
基金类别:
This work is supported by National Natural Science Foundation of China (Grant Nos. 61272206, 61472147, 61602429, 61702207, 61702211, 31600918, 41671377 ), National Science and Technology Support Program of China (2015BAH33F01), Self-determined Research Funds of CCNU from the colleges’ basic research and operation of MOE (Grant Nos. CCNU15A05013, CCNU15A05010, CCNU15GF001, CCNU15A02050, CCNU15A02006, CCNU16JYKX004 ). We sincerely thank Eckard Specht for processing our results and publishing them on the Packomania website! Finally, we would give our special thanks to the editor and the anonymous referees for their professional comments and valuable suggestions that improve this paper significantly!
机构署名:
本校为第一且通讯机构
院系归属:
国家数字化学习工程技术研究中心
摘要:
A circle packing problem involves packing given circles into a container. The objective is to minimize the size of the container without causing any overlap. This paper focuses on a representative circle packing problem where the circles are unequal and the container is a square, called Packing Unequal Circles into a Square (PUCS). It proposes a memetic algorithm to solve the problem. The memetic algorithm can be regarded as a combination of a genetic algorithm (GA) and an iterated local search (ILS). It is composed of a local search phase and ...

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