Packing identical circles in a minimized circular container by Monotonic Basin Hopping heuristic approach

A. J. U. Jamali, A. Grosso, M. Locatelli, F. Schoen
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Abstract

Packing problems have mathematical as well as practical application point of interest. We present, here, Monotonic Basin Hopping heuristic approach to solve the problem of packing identical circles within a minimum size of circular container. Extensive computational experiments have been performed for analyzing the problem as well as for choosing an appropriate way the parameter values for the proposed methods. Several improvements with respect to the best results reported in the literature have been detected.
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用单调跳盆启发式方法在最小化圆形容器中填充同圆
包装问题既有数学意义又有实际应用意义。在这里,我们提出了一种单调跳盆启发式方法来解决在最小尺寸的圆形容器内填充相同圆的问题。进行了大量的计算实验来分析问题,并为所提出的方法选择合适的参数值。对于文献中报道的最佳结果,已经发现了一些改进。
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