An analysis of transportation network by a distribution of the difference of trip length and Euclidean distance between two endpoints of a trip and its application to the analysis of a rectangular grid network

Abstract

In this paper, the difference of a trip length and the Euclidean distance between two endpoints of a trip is proposed as a new index for analyzing the spatial structure of transportation network. This value means the extra distance one has to travel over a network in comparison with the direct distance between two points. By examining the distribution of this value for various pairs of points within a city, efficiency of trips over a given network can be analyzed. We explicitly derive this measure using two square city models with rectangular grid network.