An analytical method to derive the distributions of distances and flow volumes on networks

In this paper, we propose an analytical method to derive the distributions of distances between any two points and flow volumes at any point on networks. In the field of transportation science, it is usual that movements between nodes represent all movements on network. With dividing all movements on network into those on a link and those between different links, we can calculate distributions algorithmically. According to the method, we developed a program to compute distributions and apply it to some road networks. And then compared distributions on network and those between nodes.