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为综合评价城市轨道交通枢纽的客运供给能力与枢纽换乘需求之间的供需平衡,根据分形理论,提出了半径维数、网格信息维数和枢纽关联维数;采用这3种分形维数,对城市轨道交通枢纽的客运供给能力分布以及枢纽的换乘需求分布进行了量化,进而提出了一致性指数与分形综合指数,对城市轨道交通枢纽的换乘供需平衡问题进行了评价;最后以北京市轨道交通线网为例,验证了方法的有效性。研究结果表明:半径维数代表了枢纽换乘供需从城市中心向周边的分布变化趋势,网格维数代表了枢纽换乘供需在空间分布的均衡性,枢纽关联维数代表了轨道线网各枢纽之间的通达性;分形一致性指数与分形综合指数则分别从单一方面与整体上评价了供给能力与换乘需求之间的供需平衡;研究为城市轨道交通线网及枢纽的规划与后评价提供了有益参考。
In order to comprehensively evaluate the supply and demand balance between the capacity of passenger transportation and the demand of hub transfer in urban rail transit hub, the fractal dimension, the radius dimension, the grid information dimension and the pivot correlation dimension are proposed. By using these three fractal dimensions , The distribution of passenger supply capacity of urban rail transit hub and the demand distribution of hubs are quantified, then the consistency index and fractal comprehensive index are proposed, and the balance between supply and demand of urban rail transit hubs is evaluated. Finally, Beijing rail transit network as an example, verify the effectiveness of the method. The results show that the dimension of radius represents the distribution trend of supply and demand of hub transfer from the city center to the periphery, the dimension of grid represents the balance of supply and demand of hub transfer in space, and the dimension of hub represents the Hub accessibility; fractal consistency index and fractal composite index respectively evaluate supply and demand balance between supply capacity and transfer demand from a single aspect as a whole; and research on planning and construction of urban rail transit network and hub Post-evaluation provides a useful reference.