用混合遗传算法和左下启发式算法求解不规则条形包装问题

B. A. Júnior, P. Pinheiro, R. D. Saraiva
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引用次数: 9

摘要

本文解决了不规则条形填充问题,这是切割和填充问题的一个特殊情况,其中一组多边形必须填充在一个矩形对象内。为了确定高质量的解决方案,我们提出了一种基于元启发式引擎(即遗传算法)和众所周知的称为左下角的放置启发式的混合方法。此外,与文献中提出的几种方法不同,我们研究了非拟合多边形作为获得局部最优点的放置工具的应用。通过在元启发式组件内工作的收缩算法,结果进一步得到改进。为了评估所提出的方法的潜力,在一组不规则条形包装问题的困难基准实例上进行的计算实验在这里进行了讨论,以进行评估。
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Tackling the Irregular Strip Packing problem by hybridizing genetic algorithm and bottom-left heuristic
This paper addresses the Irregular Strip Packing problem, a particular case of Cutting and Packing problems in which a set of polygons has to be packed within a rectangular object. To identify good quality solutions, we propose a hybrid methodology based on a meta-heuristic engine (i.e., Genetic Algorithm) and a well known placement heuristic called Bottom-Left. In addition, differently from several approaches presented in the literature, we investigate the application of the No-fit Polygon as a placement tool for obtaining local optima. The results are further improved by a shrinking algorithm that works within the meta-heuristic component. To assess the potentials of the proposed methodology, computational experiments performed on a set of difficult benchmark instances of the Irregular Strip Packing problem are discussed here for evaluation purposes.
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