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arXiv 2202.02077cs.NE
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利用质量多样性探索TSP的特征空间

Exploring the Feature Space of TSP Instances Using Quality Diversity

Jakob Bossek, Frank Neumann

摘要:

生成不同属性的实例是算法选择方法的关键,该方法区分给定组合优化问题的不同求解器的性能。近年来,已经引入了使用演化计算技术的各种方法。在本文中,我们通过提供一种基于质量多样性(QD)的新方法来为这一研究领域做出贡献,该方法能够探索整个特征空间。QD算法允许在给定的特征空间内创建高质量的解决方案,方法是将其分成框并提高每个框内的解决方案质量。我们使用我们的QD方法生成的TSP实例,可视化和分析的各种实例区分各种TSP求解器,并将其与由$(μ+1)$ -EA生成的TSP实例进行比较。

英文摘要:

Generating instances of different properties is key to algorithm selection methods that differentiate between the performance of different solvers for a given combinatorial optimization problem. A wide range of methods using evolutionary computation techniques has been introduced in recent years. With this paper, we contribute to this area of research by providing a new approach based on quality diversity (QD) that is able to explore the whole feature space. QD algorithms allow to create solutions of high quality within a given feature space by splitting it up into boxes and improving solution quality within each box. We use our QD approach for the generation of TSP instances to visualize and analyze the variety of instances differentiating various TSP solvers and compare it to instances generated by a $(μ+1)$-EA for TSP instance generation.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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