旅行商问题的2-Opt和3-Opt启发式的傅里叶描述子

Kuang-Han Hsieh
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引用次数: 1

摘要

针对平面旅行商问题,提出了一种基于傅里叶描述子的2-Opt和3-Opt过程的加速方法。提出的基于fd的方法将平面旅行视为封闭轮廓,并将其作为潜在交换识别函数(PSIF),通过识别潜在交换点/城市来限制2-Opt/3-Opt的搜索空间。在本文中,采用近似的2-Opt和3-Opt过程来研究所提出的PSIF的性能。实验结果表明,本文提出的PSIF增强了3-Opt过程,得到了较好的解,计算速度较快。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Fourier descriptors for 2-Opt and 3-Opt heuristics for traveling salesman problem
This study provides speedup of the 2-Opt and 3-Opt processes by a new method based on Fourier descriptors (FDs) for the planar traveling salesman problem. By treating the planar tour as a closed contour, the proposed FD-based method, which is used as a potential swap identification function (PSIF), can limit the search space of 2-Opt/3-Opt by identifying the potential swap points/cities. In this article, approximate versions of the 2-Opt and 3-Opt procedures are adopted to investigate the performance of proposed PSIF. The experimental results using the proposed PSIF to reinforce the 3-Opt procedure show that the proposed method provides good quality solutions and faster computation.
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