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城市轨道交通线网在规划时,总是谋求客运供给能力与换乘需求之间的平衡(一致性),而线网布局的供需一致性可以通过站点布局的供需一致性表示。基于分形理论,针对轨道交通线网站点的分布形态(客运供给能力)和站点的换乘需求(需求),提出了站点分布-半径维数、站点换乘需求-半径维数。为量化站点的换乘供需在空间分布上的一致性(供需平衡),提出了分形一致性指数。最后以北京市轨道交通线网为例,验证了模型和算法的有效性,并对算法中涉及的出行需求(OD矩阵)进行了敏感性分析,讨论了出行行为对于分形维数和一致性指数产生的影响。结果显示分形维数、一致性指数能够较好地描述轨道交通线网的供需平衡特征。
Urban rail transit network always seek the balance (consistency) between passenger supply capability and transfer demand when planning, while the consistency of supply and demand of the layout of network can be expressed by the consistency of supply and demand of site layout. Based on the fractal theory, this paper proposes the site distribution - radius dimension, site transfer demand - radius dimension according to the distribution pattern of rail transit network site (passenger supply capacity) and the site transfer demand (demand). In order to quantify the consistency of the spatial distribution of supply and demand for the transfer of stations (supply and demand balance), a fractal consistency index was proposed. Finally, taking the Beijing rail transit network as an example, the validity of the model and the algorithm is verified, and the sensitivities of the travel demand (OD matrix) involved in the algorithm are analyzed. It is also discussed that the travel behavior of fractal dimension and consistency index The impact of. The results show the fractal dimension, consistency index can better describe the balance of supply and demand characteristics of the rail transit network.