Abstract: The topology map of urban transportation network is gained by using the original topological method, the dual graph of the transportation network is gotten by using the dual topology method, and the random network model of transportation network is thus established. The asymptotic connectivity reliability of the transportation network is defined, and what is be gained is the quantitative relationship among road connectivity reliability, scale of the road network, and the connectivity reliability of the entire road network. The conclusions in this paper are proved by combining the random graph theory with law of large numbers, asymptotic methods and so on. Finally, the application value is illustrated through an example.

Key words: stochastic transportation network, asymptotic connectivity, reliability, dual topology method

摘要： 应用原有拓扑法获得城市交通网络的拓扑结构图,利用对偶拓扑法得到交通网络的对偶图,建立交通网络的随机网络模型。定义交通网络的渐近连通可靠性,得到路段连通可靠性、路网规模及整个路网连通可靠性之间的定量关系,结合随机图论、大数定律、渐近方法等证明所得结论;通过实例说明结论的应用价值。

关键词: 随机交通网络, 渐近连通, 可靠性, 对偶拓扑法