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An experimental study of combining evolutionary algorithms with KD-tree to solving dynamic optimisation problems

机译:将进化算法与KD-tree相结合解决动态优化问题的实验研究

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摘要

This paper studies the idea of separating the explored and unexplored regions in the search space to improve change detection and optima tracking. When an optimum is found, a simple sampling technique is used to estimate the basin of attraction of that optimum. This estimated basin is marked as an area already explored. Using a special tree-based data structure named KD-Tree to divide the search space, all explored areas can be separated from unexplored areas. Given such a division, the algorithm can focus more on searching for unexplored areas, spending only minimal resource on monitoring explored areas to detect changes in explored regions. The experiments show that the proposed algorithm has competitive performance, especially when change detection is taken into account in the optimisation process. The new algorithm was proved to have less computational complexity in term of identifying the appropriate sub-population/region for each individual. We also carry out investigations to find out why the algorithm performs well. These investigations reveal a positive impact of using the KD-Tree.
机译:本文研究了在搜索空间中分离探索区域和未探索区域的想法,以改善变更检测和最佳跟踪。当找到一个最佳值时,将使用一种简单的采样技术来估算该最佳值的吸引力。这个估计的盆地被标记为已经勘探的区域。使用名为KD-Tree的基于树的特殊数据结构划分搜索空间,可以将所有探查区域与未探查区域分开。给定这样的划分,该算法可以将更多的精力集中在搜索未勘探区域上,仅花费最少的资源来监视已勘探区域以检测已勘探区域的变化。实验表明,该算法具有竞争优势,尤其是在优化过程中考虑变化检测的情况下。事实证明,该新算法在识别每个个体的适当子种群/区域方面具有较少的计算复杂性。我们还进行了调查,以找出算法运行良好的原因。这些调查揭示了使用KD-Tree的积极影响。

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