基于生物地理学的优化和边缘装配交叉求解旅行商问题

Abbas Salehi, B. Masoumi
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引用次数: 2

摘要

基于生物地理的优化(BBO)算法由于其实现简单、高效和参数数量少而引起了研究人员的极大兴趣。优化问题中的BBO算法是基于生物地理学概念发展起来的一种新算法。该算法利用动物迁徙的思想来寻找合适的栖息地来解决优化问题。BBO算法有三个主要算子,称为迁移、变异和精英选择。迁移操作员在候选栖息地之间共享信息方面发挥着非常重要的作用。最初的BBO算法,由于其探索和开发不力,有时无法获得理想的结果。另一方面,边缘组装杂交(EAX)是获得后代的高功率杂交之一,它增加了种群的多样性。基于生物地理学的优化算法和EAX的结合可以在求解优化问题方面提供高效率,包括旅行商问题(TSP)。本文提出了将这些方法相结合的方法来解决旅行推销员问题。用TSPLIB中TSP的标准数据集对新的混合方法进行了检验。在实验中,所提出的方法的性能优于原始的BBO和其他四种广泛使用的元启发式算法。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Solving Traveling Salesman Problem based on Biogeography-based Optimization and Edge Assembly Cross-over
Biogeography-Based Optimization (BBO) algorithm has recently been of great interest to researchers for simplicity of implementation, efficiency, and the low number of parameters. The BBO Algorithm in optimization problems is one of the new algorithms which have been developed based on the biogeography concept. This algorithm uses the idea of animal migration to find suitable habitats for solving optimization problems. The BBO algorithm has three principal operators called migration, mutation and elite selection. The migration operator plays a very important role in sharing information among the candidate habitats. The original BBO algorithm, due to its poor exploration and exploitation, sometimes does not perform desirable results. On the other hand, the Edge Assembly Crossover (EAX) has been one of the high power crossovers for acquiring offspring and it increased the diversity of the population. The combination of biogeography-based optimization algorithm and EAX can provide high efficiency in solving optimization problems, including the traveling salesman problem (TSP). This paper proposed a combination of those approaches to solve traveling salesman problem. The new hybrid approach was examined with standard datasets for TSP in TSPLIB. In the experiments, the performance of the proposed approach was better than the original BBO and four others widely used metaheuristics algorithms.
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