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一种求解等圆装箱问题的种群算法

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针对等圆装箱问题,基于圆之间的连接表,论文为基于种群的盆地跳跃算法(Population Basin Hopping)提出了一个新的变种。基于连接表的概念,论文为等圆装箱问题提出了一种解之间的距离函数,并根据该距离函数提出了一种新的种群更新策略。通过在规模小于等于100的标准算例上进行优化实验,对所提算法的性能进行了评估。实验结果表明,该算法在解质量和计算速度方面均胜过了文献中已有的最好算法。
A Population Algorithm for Solving the Equal Circle Packing Problem
To solve the equal circles packing problem(ECPP),this paper proposes a new variant of population basin hopping(PBH)algorithm based on the connectivity table.In the paper,the connectivity table between circles is used to define the distance function between two packing configurations and then a population updating strategy is designed for the proposed algorithm.The per-formance of the proposed algorithm is assessed on the 100 benchmark instances with N≤100,and the experimental results show that the proposed algorithm outperforms the state-of-the-art algorithms in the literature both in terms of solution quality and compu-tational efficiency.

equal circle packing problemconnectivity tableadaptive searchpopulation algorithm

朱哲彤、向垚、赖向京

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南京邮电大学先进技术研究院 南京 210023

等圆装箱问题 连接表 自适应搜索 种群算法

国家自然科学基金

61703213

2024

计算机与数字工程
中国船舶重工集团公司第七0九研究所

计算机与数字工程

CSTPCD
影响因子:0.355
ISSN:1672-9722
年,卷(期):2024.52(3)
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