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地理学报  2014 

基于最多叶子生成树的中国航空网络轴辐结构构建

DOI: 10.11821/dlxb201412010, PP. 1847-1857

Keywords: 中国航空网络,轴辐结构,最多叶子生成树,距离约束,图论

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Abstract:

航空网络的轴辐(Hub-Spoke)结构是实现规模经济发展的重要交通运输网络结构,本文为此提出了一种全新的航空网络轴辐结构构建方法。该方法从图论和地理学的角度出发,引入地理距离约束,改进了传统的最多叶子生成树(MaximumLeafSpanningTree)算法,直接从现有的中国航空网络中抽取树形轴辐结构形成航空支线网络,然后选取支线网络中度前10的节点作为航空枢纽点,并将枢纽点之间在原图中的航线抽取为航空干线网络,最后将支线网络和干线网络合并形成中国航空网络的轴辐结构。在与相关研究的对比分析中,本文方法虽是从图论角度出发,但构建的中国航空轴辐结构符合实际地理环境,划分支线网络距离阈值的选择更加客观合理,所选的航空枢纽点地理意义更为明显,干支线网络的覆盖度更为全面。

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