城市道路网内部结构特性分析的分形维数方法  

Fractal dimension method for the analysis of the internal structure of urban road networks

作　　者：何石坚 李清波[1] 匡姣姣 

机构地区：[1]长沙理工大学交通运输工程学院,湖南长沙410004

出　　处：《交通科学与工程》2015年第2期96-101,共6页Journal of Transport Science and Engineering

摘　　要：为科学规划和改造城市道路网,引入分形维数D(r)的有关理论,以城市道路网中i级子路网的分形维数Di(r)作为该级子路网覆盖效率的评价指标,对分形维数的运算过程进行深入研究。建立了各级子网分形维数Di(r)与网格边长r之间的关系模型,提出了连通深度指标Ri用以评价各级路网的有效连通距离。研究结果表明:分形维数D(r)能较好地描述路网的覆盖程度。Di(r)=1.585时,各级子路网相应地处于最优覆盖效率,对应的连通深度Ri可用于描述各级子路网的交通服务特性。In order to rebuild urban road networks scientifically and rationally,the theory about fractal dimension D（r）was introduced,in which fractal dimension of sub-network grad i in urban road networks was used as the evaluating index for this sub-network.In addition,the calculation progress of fractal dimension was studied in depth,the relationship model between fractal dimension Di（r）of all levels of sub-network and side length r and index penetration Ri was suggested to evaluate the effective connectivity distance of all levels of road networks.The results show that coverage level of road networks could be well described by fractal dimension D（r）.When Di（r）=1.585,the coverage rate of all levels of sub-networks could be the best,and the corresponding penetration Ri could be applied to depict the traffic service characteristics of all levels of sub-networks.

关 键 词：道路工程 城市道路网 结构特性 分形维数 连通深度 

分 类 号：U419.1[交通运输工程—道路与铁道工程]