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Evaluation of Highway Network Node Importance via Node Benefit Function and Weighted Node Betweenness

机译：通过节点效益函数和加权节点间度评估公路网节点重要性

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In a highway network, nodes playing a significant role could have an extreme effect on operation efficiency and other performance measures, so evaluating these important nodes is thought to be a critical process in highway network management and operation. This paper proposes a new method for evaluating the importance of nodes in highway networks, based on the Graph Theory and Network Theory. First, a benefit function is proposed for each node with weights of GDP, mileage, capacity, and so forth, and a benefit indicator is calculated, which represents the local importance of each node. Second, weighted node betweenness was estimated for describing the global importance throughout the whole network. After that, the overall importance for each node was calculated by weighted average of both local and global importance. Finally, a verification of the new method was conducted with a highway network among five eastern provinces and cities in China. The results indicate that the overall importance estimated by this method matches with reality.
机译：在高速公路网中，扮演重要角色的节点可能会对运营效率和其他性能指标产生极端影响，因此评估这些重要节点被认为是高速公路网管理和运营中的关键过程。本文基于图论和网络理论，提出了一种评价公路网络中节点重要性的新方法。首先，为每个节点提出一个具有GDP，里程，容量等权重的收益函数，并计算一个收益指标，该指标代表每个节点的局部重要性。其次，估计加权节点之间的间隔以描述整个网络中的全局重要性。之后，通过局部和全局重要性的加权平均值计算每个节点的总体重要性。最后，在中国东部五个省市之间的公路网络上对该新方法进行了验证。结果表明，该方法估算的总体重要性与实际相符。

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