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Efficiently Packing Circles into a Larger Containing Circle

机译:将圆圈有效地包装成较大的圆圈

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The circles packing problem consists in placing a set of circles into a larger containing circle without overlap. The objective is to determine the smallest radius of the containing circle as well as the coordinates of the center of each given circle. Lacking powerful optimization method is the key obstacle to solve this problem. A novel heuristic global optimization method, energy landscape paving (ELP) which combines core ideas from energy surface deformation and taboo search, is introduced. By giving some critical revisions to the ELP method and incorporating new configuration update strategy into it, an improved energy landscape paving (IELP) algorithm is put forward for the circles packing problem. The effectiveness of the algorithm is demonstrated through a set of typical instances taken from the literature.
机译:圆圈包装问题包括将一组圆圈放入更大的包含圆圈,而不会重叠。目标是确定包含圆圈的最小半径以及每个给定圆的中心的坐标。缺乏强大的优化方法是解决这个问题的关键障碍。引入了一种新的启发式全球优化方法,将核心思想与能量表面变形和禁忌搜索结合的能量景观铺路(ELP)。通过对ELP方法提供一些关键修订并将新的配置更新策略结合到其中,提出了一种改进的能量景观铺路(IELP)算法为圆圈包装问题提出。通过从文献中取出的一组典型的实例来证明算法的有效性。

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