基于改进TOPSIS模型的地铁网络节点重要性评价方法

对城市地铁网络节点重要性进行评价在城市交通体系的运营和管理中具有重要意义。TOPSIS法是一种节点重要程度多指标综合评价方法。已有的TOPSIS法在评价地铁网络节点重要程度时存在贴近度评价不合理,权重算法没有考虑网络空间特性两方面问题。针对上述不足,提出相应的改进措施:(1)结合垂面距离和灰色关联度综合评价方案与理想解的贴近度;(2)设计适用于空间网络的局部熵赋权法。最后,以北京地铁网络为例,利用改进的TOPSIS法测算了节点的重要性程度。结果表明:该方法确定的结果符合实际情况并且优于现有的TOPSIS法,说明该方法具有较高的准确性和较强的应用性。

Method of Identifying Influential Nodes of Subway Network Based on Improved TOPSIS

It is significant to evaluate the importance of urban subway network nodes in the operation and management of urban traffic system. TOPSIS method is one of the multi-index comprehensive methods to evaluate the importance of nodes. But the existing TOPSIS methods have insufficiencies in estimating close degree when the importance of metro network nodes is evaluated and in the weighting algorithm when the features of network space are not concluded. In view of these issues,this paper puts forward corresponding improvement measures ∶ 1) with vertical distance and grey correlation degree to evaluate the close degree between the program and ideal solution; 2) design of local entropy weighting method suitable for the spatial network. At last,node importance of urban rail transit network of Beijing is evaluated with improved TOPSIS. The results show that the results obtained by improved TOPSIS method conform to the actual measurements and better than those with existing TOPSIS. The method is proved highly accurate and applicable.