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Bidirectional Constructive Crossover for Evolutionary Approach to Travelling Salesman Problem

机译:双向构造交叉法求解旅行商问题

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In this paper, we propose an improved crossover method for genetic approach to travelling salesman problem (TSP). Because any feasible solution of TSP must be an ordered permutation, the validity of an offspring generated by the simple crossover where corresponding parts of genes or chromosomes of parents are exchanged. Therefore, researchers have proposed special crossover methods, and so far it is known that SCX is superior to other methods in the aspect of convergence speed and fitness of the genes. In this paper, we extend the SCX to have bidirectional and circular search properties in the construction of offsprings. We also devised an simple and effective index management so that the search for candidate nodes during the offspring construction can be performed in an efficient way. The proposed BCSCX shows the better convergence speed and even better solution than those of SCX in the empirical experiments.
机译:在本文中,我们提出了一种改进的交叉方法,用于遗传方法求解旅行商问题。由于TSP的任何可行解决方案都必须是有序排列,因此,通过交换原始基因或父母染色体的相应部分的简单交换所产生的后代的有效性。因此,研究人员提出了特殊的交叉方法,迄今为止,已知SCX在基因的收敛速度和适应性方面优于其他方法。在本文中,我们将SCX扩展为在后代的构造中具有双向和圆形搜索属性。我们还设计了一种简单有效的索引管理,以便可以高效地执行在子代构建过程中对候选节点的搜索。在经验实验中,提出的BCSCX具有比SCX更好的收敛速度和更好的解决方案。

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