基于mTSP规划模型和蚁群算法的调查路径规划研究

Jia Li, Tianci Jiao, Yan Wang
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引用次数: 0

摘要

TSP问题是图论中最著名的问题之一,常用于城市基础设施规划、物流配送、运输路线安排等领域。到目前为止,还没有找到有效的算法来处理这类问题。学者们认为,这类问题的大规模实例无法用精确的算法求解,必须寻求一种有效的近似算法。为了对mTSP问题有更深入的了解,本文以全国调查路线规划为实际案例,结合改进的圆算法和蚁群算法提出了具体的解决方案。在收集大量真实数据的基础上,以北京M大学课题组穿越30个少数民族自治州和120个少数民族自治县的研究路线规划为计算案例,综合考虑各种约束条件,构建基于18个集群的集群中心。具有时间约束的TSP规划模型根据聚类结果对省份进行拆分,将拆分后的省份与相邻省份重新生成一个新的改进圈进行优化,最终得到至少9.5年的调查时间,并整合了具体的调查路线。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Research on Survey Path Planning Based on mTSP Planning Model and Ant Algorithm
TSP is one of the most famous problems in graph theory, and it is often used in the fields of urban infrastructure planning, logistics distribution, and transportation route arrangement. So far, no effective algorithm has been found to deal with this type of problem. Scholars believe that large-scale examples of this type of problem cannot be solved with an accurate algorithm, and an effective approximate algorithm for this type of problem must be sought. In order to gain a deeper understanding of the mTSP problem, this paper takes the national survey route planning as an actual case, and combines the improved circle algorithm and the Ant Algorithm to propose a specific solution. Based on the large amount of real data collected, the research route planning of the research team of Beijing M University traversing 30 ethnic minority autonomous prefectures and 120 ethnic minority autonomous counties was used as a calculation case, and various constraints were comprehensively considered to construct a cluster center based on 18 clusters. The TSP planning model with time constraints splits provinces based on clustering results, regenerates the split provinces and neighboring provinces into a new improvement circle for optimization, and finally obtains a survey time of at least 9.5 years, and integrates a specific survey route.
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