Abstract: Hierarchical division of regional national defense highway network nodes is the primary work of the layout optimization. The hierarchical division standard is different for national defense highway network compared with ordinary national highway network, thus the targets determination and method adoption are different accordingly. First, the paper defined the principle of the hierarchical division. Then, it put forward the new method of hierarchical division based on grey clustering. The paper formulated the grey clustering of whitenization weight function model, and provided an actual calculation example. The results of the example show that the proposed model is scientific and reasonable, and the calculation process is compact and easy to program. Therefore, this method can be applied in layout optimization of regional national defense highway network.

Key words: grey clustering, whitenization weight function, regional national defense highway network, highway nodes, hierarchical division

摘要： 区域国防公路网络节点层次划分是进行区域国防公路网络布局优化的首要工作，而国防公路网节点层次划分标准不同于国家公路网，因此在指标选取以及方法运用上应有所区别。本文首先明确了区域国防公路网节点层次划分原则，在分析常用公路网节点层次划分方法的基础上，重点提出了基于灰色聚类的区域国防公路网节点层次划分的方法，构建了区域国防公路网节点层次划分的灰色白化权函数聚类模型，并给出了实际算例。通过以上研究得出结论：灰色白化权函数聚类方法用于区域国防公路网节点层次划分的结果科学合理，计算过程简洁，容易编程实现，可在实际区域国防公路网布局规划中应用。

关键词: 灰色聚类, 白化权函数, 区域国防公路网, 公路网节点, 层次划分